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DYNAMIC PRICING SYSTEM FORMALIZATION

DEFINITIONS Let:

  • n = Round number (1 to 9)

  • a = Individual asset

  • A = Total set of assets

  • RV(a) = Real value of asset a

  • S(n) = Set of assets sold in round n

FUNDAMENTAL RULES

  1. Round Structure:

  • |S(n)| = 5 for rounds 1 to 8

  • |S(9)| = 3 (final round)

  • Total assets |A| = 43

  1. Asset Sale:

  • Each a ∈ A must be sold exactly once

  • If a ∈ S(i), then a ∉ S(j) where i ≠ j

  1. Tier Assignment: T(a) = { 1 if RV(a) ≤ 1 ETH 2 if RV(a) > 1 ETH }

  2. Coefficient Progression: C(n) = { 0.1 if n = 1 2.0 if n = 2 C(n-1) - 0.1428571429 if n > 2 AND cumulative_ETH < 25 C(n-1) + 0.1428571429 if n > 2 AND cumulative_ETH ≥ 25 }

  3. Price Calculation: P(a,n) = { RV(a) × C(n) if T(a) = 1 RV(a) if T(a) = 2 AND cumulative_ETH < 25 RV(a) × C(n) if T(a) = 2 AND cumulative_ETH ≥ 25 }

  4. ETH Calculations: Round_ETH(n) = ∑P(a,n) for all a ∈ S(n) Cumulative_ETH(n) = ∑Round_ETH(i) where i ≤ n

  5. Turning Point: TP = First n where Cumulative_ETH(n) ≥ 25 ETH

This is a dynamic pricing system designed to reward early buyers while ensuring fair market value over time. Here's how it works:

First, all items (assets) are divided into two categories based on their target market value:

  • Regular items that are worth 1 ETH or less

  • Premium items that are worth more than 1 ETH

The system operates in rounds, with exactly 5 items sold in each round (except the final round which has 3 items). Here's the fascinating part about how prices change:

For Regular Items (1 ETH or less): The system starts by offering these items at just 10% of their target value in the first round. For example, if an item's target value is 0.5 ETH, it would start at 0.05 ETH. In the second round, prices jump significantly to double the target value. After that, prices gradually decrease until a special milestone is reached.

For Premium Items (above 1 ETH): These items start at their full target value and stay there initially. For example, a 10 ETH item starts and remains at 10 ETH. This continues until a crucial milestone is reached.

The Milestone (Called "Turning Point"): Everything changes when total sales reach 25 ETH. At this point:

  • Premium items start following the same pricing multipliers as regular items

  • Instead of prices decreasing, they start increasing steadily

  • This affects all remaining items, both regular and premium

This creates an interesting dynamic where:

  1. Early buyers can get regular items at massive discounts

  2. Premium item buyers have a window to buy at standard prices

  3. Once the milestone is reached, remaining items become more expensive

  4. Each item can only be sold once, so when it's gone, it's gone

Each round's prices are precisely calculated based on these rules, creating a predictable yet dynamic market where timing becomes crucial for buyers. The earlier you buy regular items, the better deal you get, while premium items have a limited window of standard pricing before they too start increasing in price.

The system is designed this way to create initial buying momentum with discounted regular items while maintaining stability for premium items until sufficient market activity is achieved.

PART 1: SIMPLE EXPLANATION FOR REGULAR BUYERS

Introduction


Imagine walking into a very special art gallery where everything is digital and unique. This gallery has a fascinating way of selling its pieces that makes it exciting and fair for everyone. We're going to explore how this system works in a way that anyone can understand, even if you've never bought art before or don't know anything about digital currencies.

The Basic Structure


The gallery has forty-three amazing digital art pieces, each one completely unique and special in its own way. These pieces aren't all being sold at once. Instead, they're being released in small groups of five at different times. Think of it like a TV show releasing new episodes - except in this case, we're releasing new artworks for sale. There will be eight rounds where five pieces are sold, and in the final ninth round, the last three pieces will be available. This creates excitement and gives everyone a fair chance to participate.

Understanding the Two Types of Art


In this gallery, we have two different kinds of artworks. First, we have what we call "regular items" - these are pieces that are valued at 1 ETH or less (ETH is just the digital currency we're using, like dollars or euros). Then we have our "premium items" - these are the more exclusive pieces that are worth more than 1 ETH. This separation is important because these two types of artwork follow different pricing rules.

The Magic of Changing Prices


Here's where things get really interesting. The prices of these artworks change over time, but they change in a way that's designed to be fair and exciting. Let's start with the regular items. In the very first round, these pieces are sold at an incredible discount - just 10% of their actual value. This means if a piece is worth 1 ETH, you could get it for just 0.1 ETH in the first round. It's like getting a $100 piece of art for just $10.

When the second round comes along, something dramatic happens. The prices jump up to double the normal value. This might seem strange, but it's part of the strategy to reward early buyers and create excitement. After the second round, the prices start to gradually come down again, making it attractive for new buyers to join in.

The premium items work differently at first. These more valuable pieces start at their normal price and stay steady. This provides stability for collectors who are interested in these higher-value works. However, there's an important turning point in our story.

The Great Turn


Everything changes when the total sales reach 25 ETH. This is like a magic number that transforms how the whole system works. Once we hit this milestone, both regular and premium items start behaving differently. Instead of prices going down, they start climbing up. This affects every piece that hasn't been sold yet, regardless of whether it's a regular or premium item.

Why This System Makes Sense for Buyers


This system is designed to create different opportunities for different types of buyers. If you're interested in regular items and you're able to participate early, you can get incredible deals in the first round. If you're more interested in premium pieces, you have a window of opportunity to buy them at their standard price before the total sales reach 25 ETH.

The beauty of this system is that it rewards early participation while still keeping things fair. Early buyers get the best deals on regular items, but even later buyers have the chance to own unique pieces. The gradual price changes after the second round mean that there's no sudden shock to buyers, and everyone can plan their purchases based on their budget and interests.

The Long-Term Vision


This isn't just about selling art - it's about creating a community of collectors who appreciate these digital pieces. By structuring the sales this way, we encourage early adoption while ensuring that the value of the art is maintained and can even grow over time. Every piece is unique and can only be sold once, which means that once a piece is bought, it becomes part of art history, and its new owner becomes part of our growing community.

This approach also means that buyers who get in early and purchase pieces at lower prices might see the value of their collection increase as the later rounds progress and prices rise. It's a system that rewards both early participation and long-term involvement in the digital art community.

In essence, this is a carefully designed system that makes buying digital art accessible and exciting for everyone, whether you're a first-time buyer or an experienced collector. It combines the thrill of getting a good deal with the satisfaction of owning unique digital art pieces that no one else can have.

PART 2.1: ECONOMIC ANALYSIS OF THE DYNAMIC PRICING SYSTEM

Market Dynamics and Behavioral Economics


The proposed dynamic pricing system for metaverse architectural pieces represents a sophisticated application of behavioral economics principles combined with traditional market mechanisms. At its core, this system leverages psychological triggers while maintaining economic efficiency through a carefully structured release schedule. The primary economic framework builds upon the concept of time-sensitive value perception, where early adoption is incentivized through significant price advantages, particularly in the initial phases of the market rollout. This approach demonstrates a nuanced understanding of how digital asset markets function, particularly in the context of unique, non-fungible items where traditional supply and demand curves require modification to account for the distinct characteristics of digital scarcity.

The system's initial pricing strategy, particularly the 90% discount on regular items in the first round, serves multiple economic functions. First, it creates a powerful price anchor that establishes a reference point for future valuations. This anchoring effect, well-documented in behavioral economics literature, helps shape market expectations and creates a psychological framework for understanding value in subsequent rounds. The dramatic shift to double the target value in the second round serves as a price discovery mechanism, allowing the market to quickly establish a sustainable price range while creating immediate value appreciation for early adopters.

Supply Control and Market Equilibrium


The structured release of assets in predetermined rounds represents a sophisticated approach to supply management in digital markets. By limiting each round to exactly five items (with three in the final round), the system creates artificial scarcity while maintaining predictable market conditions. This controlled supply mechanism differs significantly from traditional art market dynamics, where supply is naturally limited by physical constraints. In the digital realm, where theoretical supply could be infinite, this artificial scarcity mechanism becomes crucial for maintaining value propositions.

The bifurcation of assets into two distinct tiers - those valued at or below 1 ETH and those above - creates a dual-market structure that serves different segments of the collector base while maintaining interconnected price dynamics. This segmentation allows for different price discovery mechanisms to operate simultaneously, with the lower-tier market serving as a liquidity generator and market activity catalyst, while the higher-tier market maintains stability and preserves value for more significant investments. The interaction between these two segments, particularly after the 25 ETH turning point, creates a unique market ecosystem where price movements in one segment influence the other.

Network Effects and Value Creation


The system's design inherently promotes network effects through its staged release and price progression mechanics. As more participants enter the market and total sales approach the 25 ETH threshold, the system creates a self-reinforcing cycle of value creation. This mechanism aligns with modern economic theories about digital markets, where network effects often play a crucial role in establishing and maintaining value. The turning point at 25 ETH serves as a critical mass indicator, after which the market dynamics shift from a growth-focused phase to a value-preservation phase.

The gradual price adjustment mechanism after the second round, with its precise coefficient progression, represents a sophisticated approach to market stabilization. The 0.1428571429 adjustment factor provides enough movement to maintain market interest while avoiding the extreme volatility often seen in digital asset markets. This mathematical precision in price adjustments helps create a more predictable market environment, which is crucial for attracting institutional investors and serious collectors who might be deterred by the extreme price volatility often associated with digital assets.

The economic implications of this pricing model extend beyond immediate market dynamics, creating a foundation for long-term value stability in the metaverse architectural space. By combining elements of scarcity, time-sensitive pricing, and network effects, the system establishes a framework that could potentially serve as a template for other digital asset markets seeking to balance accessibility with value preservation.

PART 2.2: ECONOMIC ANALYSIS OF THE DYNAMIC PRICING SYSTEM

Market Efficiency and Price Discovery


The dynamic pricing system demonstrates sophisticated market efficiency mechanisms through its structured approach to price discovery. The initial round's deep discount serves as a market-making mechanism, creating immediate liquidity and establishing baseline trading activity. This approach addresses one of the fundamental challenges in digital asset markets: the establishment of reliable price discovery mechanisms in the absence of traditional market metrics. The system's deliberate progression from heavily discounted prices to market-rate valuations creates a price discovery journey that allows for organic market development while maintaining controlled parameters.

The coefficient progression formula, C(n) = {0.1 if n = 1, 2.0 if n = 2, C(n-1) - 0.1428571429 if n > 2 AND cumulative_ETH < 25, C(n-1) + 0.1428571429 if n > 2 AND cumulative_ETH ≥ 25}, represents a sophisticated approach to managing price elasticity in a developing market. This mathematical precision in price adjustments creates a predictable framework for value appreciation while avoiding the extreme volatility often associated with digital asset markets. The gradual nature of these adjustments allows market participants to develop informed strategies and make calculated decisions about timing their purchases.

The Intersection of Digital Scarcity and Economic Value


The system's handling of digital scarcity presents a fascinating case study in modern economic theory. Unlike traditional markets where scarcity is often naturally occurring, this system creates artificial scarcity through its structured release mechanism while maintaining perfect transparency about the total supply. The fixed total of 43 assets, combined with the predetermined release schedule, creates a known supply curve that allows market participants to make informed decisions about the long-term value proposition of their investments.

The bifurcation of assets into two tiers creates distinct but interrelated markets that serve different economic functions. The lower-tier market (assets ≤ 1 ETH) functions as a liquidity generator and market catalyst, while the higher-tier market (assets > 1 ETH) serves as a value anchor and stability mechanism. This dual-market structure creates interesting economic dynamics, particularly in how price movements in one tier influence perception and behavior in the other. The system's design ensures that these two markets remain distinct enough to serve different purposes while maintaining enough connection to create a coherent overall market structure.

Risk Management and Market Stability


The system incorporates sophisticated risk management mechanisms through its staged release and price adjustment formulas. The initial discount phase creates a controlled environment for price discovery while minimizing downside risk for early participants. The subsequent price increases serve as a value protection mechanism, ensuring that early buyers see immediate appreciation in their holdings. This approach to risk management is particularly relevant in the context of digital assets, where market volatility and value stability are constant concerns.

The 25 ETH turning point serves as a market maturity indicator, after which the pricing mechanics shift from market development to value preservation. This transition point represents a sophisticated approach to market phase management, acknowledging that different stages of market development require different pricing strategies. The system's ability to automatically adjust its pricing mechanics based on cumulative sales creates a self-regulating mechanism that responds to market conditions while maintaining predictable parameters.

The economic implications of this pricing system extend beyond immediate market dynamics, potentially influencing how digital asset markets approach the challenge of creating sustainable value propositions. By combining elements of traditional market mechanics with innovative approaches to digital scarcity and value creation, the system establishes a framework that could serve as a model for other digital asset markets seeking to balance accessibility with value preservation.

PART 2.3: ECONOMIC ANALYSIS OF THE DYNAMIC PRICING SYSTEM

Game Theory and Strategic Buyer Behavior


The dynamic pricing system presents a sophisticated application of game theory principles in digital asset markets. The structure creates a complex decision-making environment where buyers must weigh the benefits of early participation against potential future value appreciation. The initial 90% discount for regular items creates a powerful incentive for early participation, but the subsequent price dynamics introduce strategic considerations that extend beyond simple price advantages. This system effectively creates a modified prisoner's dilemma scenario, where individual buyers must consider not only their own optimal purchase timing but also the potential actions of other market participants.

The strategic landscape becomes particularly interesting as the market approaches the 25 ETH turning point. Buyers must evaluate whether to purchase premium items at their base value before the turning point or wait for potential market developments. This decision-making process is complicated by the transparent nature of the cumulative sales figure, which allows all participants to monitor progress toward the turning point. The system thus creates an environment where imperfect information about other buyers' intentions must be balanced against perfect information about market progression.

Economic Sustainability and Market Evolution


The system's approach to long-term economic sustainability deserves particular attention. The carefully calculated coefficient progression creates a market environment that can maintain value propositions over time while avoiding the boom-bust cycles often associated with digital asset markets. The mathematical precision of the price adjustment mechanism, with its 0.1428571429 coefficient change, demonstrates a sophisticated understanding of how small, predictable price movements can maintain market interest while preventing destabilizing volatility.

The interaction between regular and premium tiers creates interesting economic spillover effects. As regular items appreciate in value through the system's mechanics, they create price pressure that influences the perception of premium item values. This interaction between market segments helps establish a coherent value framework that extends beyond simple supply and demand dynamics. The system effectively creates its own internal economy with self-reinforcing value propositions.

Macroeconomic Implications and Market Infrastructure


From a macroeconomic perspective, this pricing system represents an innovative approach to digital asset market structure. The controlled release schedule combined with deterministic price progression creates a market environment that could potentially serve as a model for other digital asset classes. The system's ability to maintain price stability while incentivizing participation demonstrates how carefully structured market mechanics can create sustainable digital economies.

The transparency of the system's rules and progression serves as a form of market infrastructure, creating a foundation for derivative market activities. The predictable nature of the release schedule and price progression formulas allows for the development of sophisticated trading strategies and potentially even derivative products based on future price movements. This aspect of the system suggests potential for market depth development beyond primary sales.

The economic implications extend to considerations of market liquidity and capital efficiency. The system's structured approach to price discovery and value appreciation creates an environment where capital can be deployed strategically, with clear understanding of potential return profiles. This transparency in market mechanics could attract institutional participation, potentially creating additional market depth and liquidity.

The system thus represents a sophisticated approach to digital asset market design, incorporating elements of behavioral economics, game theory, and traditional market mechanics. Its potential implications for the broader digital asset ecosystem suggest possibilities for more structured and sustainable approaches to digital market development. The careful balance between incentivizing participation and maintaining value propositions demonstrates how mathematical precision in market design can create sustainable digital economies.

PART 3.1: RESHAPING THE ART MARKET - A NEW PARADIGM

Digital Transformation of Traditional Art Market Mechanics


The proposed dynamic pricing system represents a fundamental reimagining of how art markets can function in the digital age. Traditional art markets have long been characterized by opacity, intermediary dependence, and barriers to entry that limit participation to a select group of collectors and institutions. This system introduces a transparent, programmatic approach to art valuation and sales that challenges these established paradigms while preserving essential elements of art market dynamics that contribute to value creation and preservation.

The system's most innovative contribution to art market reformation lies in its ability to democratize early access while maintaining value progression. Traditional art markets often rely on gatekeepers and established relationships to determine who gets first access to valuable pieces. This system replaces these subjective access mechanisms with transparent, mathematical rules that create equal opportunity for participation while still rewarding early adopters. The initial 90% discount on regular items serves not just as a pricing mechanism, but as a democratizing force that enables broader participation in the digital art market.

The Intersection of Scarcity and Digital Reproduction


One of the most significant challenges in digital art markets has been reconciling the infinite reproducibility of digital assets with the art market's dependence on scarcity. This system addresses this fundamental tension through its structured release mechanism and unique ownership model. The fixed total of 43 assets creates artificial scarcity that mimics traditional art market dynamics, while the digital nature of the assets enables perfect provenance tracking and ownership verification.

The system's approach to value creation differs significantly from traditional art markets' reliance on physical scarcity and historical providence. Instead, it creates value through a combination of mathematical scarcity and community engagement. The turning point mechanism at 25 ETH represents a sophisticated approach to community-driven value creation, where market participation itself becomes a driver of value appreciation. This represents a shift from the traditional art market's focus on individual pieces' historical significance to a more community-oriented value creation model.

Market Accessibility and Value Creation


The tiered structure of the market, with its distinction between regular and premium items, creates a more nuanced approach to market accessibility than traditional art markets typically offer. This structure acknowledges different levels of collector engagement and financial capacity while maintaining interconnected value propositions across market segments. The system creates entry points for different types of collectors while establishing clear pathways for value appreciation that benefit early participants regardless of their initial investment level.

PART 3.2: RESHAPING THE ART MARKET - INNOVATION AND TRANSFORMATION

The Evolution of Art Market Mechanics


The traditional art market has long operated on principles of exclusivity, personal relationships, and opaque pricing mechanisms. This dynamic pricing system introduces a radical transformation in how art is valued and traded. By implementing a transparent, algorithm-driven pricing mechanism, it creates a new paradigm that combines the best aspects of traditional art markets with the efficiency and accessibility of digital systems. This transformation is particularly significant in how it addresses long-standing criticisms of the traditional art market's lack of transparency and accessibility.

The system's mathematical precision in price adjustments introduces a level of predictability that has been notably absent in traditional art markets. The coefficient progression formula creates a clear framework for understanding value appreciation, replacing the often subjective and relationship-dependent pricing mechanisms of traditional galleries and auction houses. This transparency in price progression allows collectors to make more informed decisions about their acquisitions while maintaining the excitement and potential for value appreciation that draws many to the art market.

Digital Provenance and Market Trust


One of the most significant innovations this system brings to the art market is its approach to provenance and authenticity. Traditional art markets have struggled with issues of forgery, provenance verification, and ownership tracking. The digital nature of these assets, combined with the transparent pricing and ownership system, creates an unbreakable chain of provenance that begins at the moment of initial sale. This perfect provenance tracking represents a significant advancement in addressing one of the art market's most persistent challenges.

The system's approach to initial pricing and subsequent value appreciation also addresses another traditional art market challenge: the establishment of primary market prices. In traditional art markets, initial pricing often relies heavily on gallery relationships and subjective assessments of artist value. This system creates a more democratic approach to price discovery while maintaining mechanisms for value appreciation that benefit both early collectors and artists.

The Role of Community in Value Creation


Perhaps the most revolutionary aspect of this system is how it reimagines the role of community in art market value creation. Traditional art markets often rely on a small group of influential collectors, critics, and institutions to establish and maintain value. This system creates a more distributed model of value creation where broader market participation directly influences price progression. The 25 ETH turning point serves as a community-driven milestone that signals market maturity and triggers new value appreciation mechanics.

This community-driven approach to value creation represents a significant departure from traditional art market mechanics while preserving the essential element of collective value agreement that underlies all art markets. The system creates a framework where community participation and early adoption are rewarded through transparent mechanisms rather than through the opaque relationships that often characterize traditional art markets.

PART 3.3: RESHAPING THE ART MARKET - FUTURE IMPLICATIONS AND MARKET EVOLUTION

Technological Integration and Market Infrastructure


The introduction of this dynamic pricing system represents more than just a new way to sell digital art; it signifies a fundamental shift in how art markets can be structured and operated in the digital age. The system's precise mathematical framework creates a market infrastructure that could potentially serve as a template for other segments of the art market, including traditional physical art sales. The transparency and predictability of the pricing mechanics address long-standing criticisms of art market opacity while maintaining the essential elements that drive value creation in art markets.

The integration of smart contract technology and mathematical pricing formulas creates a new type of market infrastructure that could revolutionize how art is bought, sold, and valued. This infrastructure eliminates many of the inefficiencies and subjective elements that have characterized traditional art markets while introducing new mechanisms for value creation and preservation. The system's ability to automatically execute price adjustments based on market activity creates a more efficient and responsive market environment than traditional art market structures can provide.

Democratization and Market Expansion


The system's approach to market democratization goes beyond simply making art more accessible to a broader range of collectors. It creates a new paradigm for how value is created and maintained in art markets. The transparent nature of the pricing mechanics, combined with the equal opportunity for participation, creates a more inclusive art market environment while maintaining mechanisms for value appreciation that benefit all participants. This democratization of access could potentially expand the overall art market by attracting participants who have traditionally been excluded from art collecting due to market opacity and high barriers to entry.

The tiered structure of the market, with its distinct approaches to regular and premium items, creates a sophisticated framework for market participation that could serve as a model for broader art market reform. This structure acknowledges different levels of collector engagement and financial capacity while maintaining interconnected value propositions across market segments. The system's ability to create value appreciation opportunities for both small and large collectors represents a significant advancement in art market accessibility.

Long-term Market Evolution and Cultural Impact


The implications of this pricing system extend beyond immediate market mechanics to potentially influence how society values and engages with art. The transparent and community-driven nature of the value creation mechanisms could lead to a more engaged and informed collector base. This increased engagement and understanding of market mechanics could foster a more sophisticated approach to art collecting that benefits both collectors and creators.

The system's approach to value creation through community participation rather than traditional institutional validation represents a significant shift in how art markets can function. This shift from institutional to community-driven value creation could have far-reaching implications for how art is valued and traded in the future. The system creates a framework where market participation itself becomes a form of cultural engagement, potentially leading to more dynamic and inclusive art markets.

The potential for this system to influence broader art market practices suggests possibilities for a more efficient and accessible art market while maintaining the essential elements of value creation that have historically driven art markets. The careful balance between accessibility and value preservation demonstrates how technological innovation can enhance rather than disrupt traditional art market functions. This evolution in art market mechanics could lead to a more vibrant and sustainable art market that better serves both creators and collectors while maintaining the cultural significance of art collecting as a practice.

The system thus represents not just a new way to sell digital art, but a potential blueprint for how art markets can evolve to meet the challenges and opportunities of the digital age while preserving the essential cultural and economic functions that art markets serve in society.

CONCLUSION: A NEW PARADIGM FOR DIGITAL VALUE AND MARKET DYNAMICS

The dynamic pricing system presented represents far more than a mere pricing mechanism for digital assets; it embodies a comprehensive reimagining of how markets can function in the digital age while preserving essential economic principles that have governed value creation throughout history. This system bridges traditional market dynamics with innovative digital mechanisms, creating a framework that could potentially influence various markets beyond its immediate application to metaverse architectural pieces.

At its core, the system demonstrates how mathematical precision can create market fairness while maintaining value appreciation mechanisms. The careful balance between accessibility and value preservation addresses one of the fundamental challenges in digital markets: how to create sustainable value propositions for inherently reproducible assets. The solution presented here, through its structured release mechanism and sophisticated price progression formulas, creates artificial scarcity while maintaining perfect transparency about market conditions and rules.

The economic implications of this system extend far beyond its immediate application. The combination of behavioral economics principles with precise mathematical formulas creates a market environment that could serve as a template for other digital asset classes. The system's ability to maintain price stability while incentivizing participation demonstrates how carefully structured market mechanics can create sustainable digital economies. The 25 ETH turning point serves as a sophisticated mechanism for transitioning from market development to value preservation phases, acknowledging that different stages of market maturity require different pricing strategies.

The transformation of traditional art market mechanics through this system represents a significant evolution in how creative works can be valued and traded. By replacing subjective pricing mechanisms and opaque relationships with transparent, mathematical rules, the system creates a more democratic art market while preserving essential value creation mechanisms. The community-driven approach to value creation, centered around the turning point mechanism, represents a shift from institutional to participatory value creation that could influence how society approaches cultural value determination.

The intersection of game theory, behavioral economics, and traditional market mechanics in this system creates a sophisticated framework for understanding how digital markets can function effectively. The strategic considerations created by the pricing mechanics, combined with perfect information about market progression, create an environment where rational actor behavior aligns with market development goals. This alignment of individual and collective interests represents a significant advancement in market design.

The system's approach to democratizing access while maintaining value progression demonstrates how technological innovation can enhance rather than disrupt traditional market functions. The tiered structure acknowledges different levels of market participation while creating interconnected value propositions that benefit all participants. This sophisticated approach to market segmentation could influence how other markets approach the challenge of balancing accessibility with value preservation.

Looking forward, the implications of this system extend beyond immediate market applications to potentially influence how society approaches value creation in the digital age. The transparent, programmable nature of the pricing mechanics, combined with community-driven value creation mechanisms, suggests possibilities for more efficient and inclusive markets across various sectors. The system's ability to create predictable yet dynamic market environments while maintaining value propositions demonstrates how mathematical precision in market design can create sustainable digital economies.

The synthesis of traditional economic principles with innovative digital mechanisms in this system provides valuable insights into how markets can evolve to meet the challenges of the digital age. By creating a framework that balances accessibility with value preservation, community participation with mathematical precision, and immediate liquidity with long-term sustainability, the system represents a significant advancement in market design that could influence various sectors beyond its immediate application.

This system thus stands as a testament to the possibility of creating sustainable, efficient, and inclusive digital markets while preserving essential economic principles that have historically driven value creation. Its potential to influence market design across various sectors suggests that we may be witnessing the emergence of a new paradigm in how society approaches value creation and exchange in the digital age.

COMPLETE SALES SIMULATION (BALANCED TIER 2 DISTRIBUTION)

ROUND 1 (Sales 1-5)
Coefficient: 0.1
1. MIKADO - 0.008 ETH (0.08 × 0.1)
2. CENTIPEDE - 0.09 ETH (0.9 × 0.1)
3. PODDIO VERTICALE - 0.04 ETH (0.4 × 0.1)
4. FIGHT ARENA - 0.008 ETH (0.08 × 0.1)
5. MYNHTTNWARE - 0.05 ETH (0.5 × 0.1)


Round Total: 0.196 ETH

ROUND 2 (Sales 6-10)
Coefficient: 2.0
1. ISOLA - 0.16 ETH (0.08 × 2.0)
2. UMMUSE - 0.15 ETH (0.075 × 2.0)
3. DECONSTRUCTIVIST EAGLE NEST - 0.03 ETH (0.015 × 2.0)
4. pxl DUOMO - 0.04 ETH (0.02 × 2.0)
5. BUREAU+THEATRE - 0.1 ETH (0.05 × 2.0)


Round Total: 0.48 ETH
Cumulative: 0.676 ETH

ROUND 3 (Sales 11-15)
Coefficient: 1.857
1. POTBELLY QQ_FU_v2 - 0.297 ETH (0.16 × 1.857)
2. ATONAL VEINS - 0.056 ETH (0.03 × 1.857)
3. ROTAS VIRGIL - 0.074 ETH (0.04 × 1.857)
4. PODDIO DARK TWISTED VERTICALE - 0.279 ETH (0.15 × 1.857)
5. Retail v3 - 0.037 ETH (0.02 × 1.857)


Round Total: 0.743 ETH
Cumulative: 1.419 ETH

ROUND 4 (Sales 16-20)
Coefficient: 1.714
1. STARDEM - 1.4 ETH (Tier 2)
2. CARBINE WICK - 0.063 ETH (0.037 × 1.714)
3. VERTICAL CANDY BUNGALOWS - 0.108 ETH (0.063 × 1.714)
4. JJ8 - 2 ETH (Tier 2)
5. Retail v4 - 0.034 ETH (0.02 × 1.714)


Round Total: 3.605 ETH
Cumulative: 5.024 ETH

ROUND 5 (Sales 21-25)
Coefficient: 1.571
1. BOXMATE - 0.053 ETH (0.034 × 1.571)
2. MATSOUKA HILLS MANSION - 3 ETH (Tier 2)
3. Retail v5 - 0.083 ETH (0.053 × 1.571)
4. ASTRAL EGG PLANT - 2 ETH (Tier 2)
5. MUSEBOROUGH PAVS - 0.130 ETH (0.083 × 1.571)


Round Total: 5.266 ETH
Cumulative: 10.29 ETH

ROUND 6 (Sales 26-30)
Coefficient: 1.428
1. K-DOCIINE HQ - 2 ETH (Tier 2)
2. ALIEN EARTHQUAKE - 0.186 ETH (0.130 × 1.428)
3. DFWAM - 5 ETH (Tier 2)
4. Retail v6 - 0.142 ETH (0.1 × 1.428)
5. THE FINGER DOME - 2 ETH (Tier 2)


Round Total: 9.328 ETH
Cumulative: 19.618 ETH

ROUND 7 (Sales 31-35)
Coefficient: 1.285
1. MATISSE TIME CHAIPEL - 4.15 ETH (Tier 2)
2. HOLY SHADOW HQ - 0.182 ETH (0.142 × 1.285)
3. LA BIBLIOTHÈQUE - 5 ETH (Tier 2)
4. METABOILERISM - 0.234 ETH (0.182 × 1.285)
5. BEYOND THE INFINITY - 7 ETH (Tier 2)


Round Total: 16.566 ETH
Cumulative: 36.184 ETH


*TURNING POINT REACHED*

ROUND 8 (Sales 36-40)
Coefficient: 1.428 (1.285 + 0.143)
1. C1TY_v2 - 0.334 ETH (0.234 × 1.428)
2. DIGITAL EXPO CENTER - 0.477 ETH (0.334 × 1.428)
3. POP-YP - 0.681 ETH (0.477 × 1.428)
4. NEUEDOJO - 6 ETH (Tier 2)
5. CAVE DESIGN STORE - 0.972 ETH (0.681 × 1.428)


Round Total: 8.464 ETH
Cumulative: 44.648 ETH

ROUND 9 (Sales 41-43)
Coefficient: 1.571 (1.428 + 0.143)
1. XHBTION_SPC - 10 ETH (Tier 2)
2. TECHNO BRUTAL PUNK FABRIQUE - 0.126 ETH (0.08 × 1.571)
3. Retail v3 - 0.157 ETH (0.1 × 1.571)


Round Total: 10.283 ETH
Final Cumulative Total: 54.931 ETH

KEY MILESTONES:
1. Turning Point (25 ETH) Reached: During Round 7 (Sales 31-35)
2. Real Value Achieved: During Round 7 (Sales 31-35)
3. Final Total ETH Generated: 54.931 ETH

Bu simülasyonda Tier 2 varlıkların satışı çok daha dengeli bir şekilde dağıtılmıştır:


- Önce düşük değerli Tier 2 varlıklar (1.4-3 ETH değerinde)
- Orta değerli Tier 2 varlıklar (4-7 ETH değerinde)
- En son yüksek değerli Tier 2 varlık (10 ETH)

Bu dağılım, piyasanın daha doğal ve kademeli bir şekilde gelişmesini sağlamış, ani fiyat sıçramalarının önüne geçmiştir.

COMPLETE SALES LIST (ORDERED BY SALE PRICE)

0.008 ETH - MIKADO (Sale #1)
0.008 ETH - FIGHT ARENA (Sale #4)
0.03 ETH - DECONSTRUCTIVIST EAGLE NEST (Sale #8)
0.034 ETH - Retail v4 (Sale #20)
0.037 ETH - Retail v3 (Sale #15)
0.04 ETH - pxl DUOMO (Sale #9)
0.04 ETH - PODDIO VERTICALE (Sale #3)
0.05 ETH - MYNHTTNWARE (Sale #5)
0.053 ETH - BOXMATE (Sale #21)
0.056 ETH - ATONAL VEINS (Sale #12)
0.063 ETH - CARBINE WICK (Sale #17)
0.074 ETH - ROTAS VIRGIL (Sale #13)
0.083 ETH - Retail v5 (Sale #23)
0.09 ETH - CENTIPEDE (Sale #2)
0.1 ETH - BUREAU+THEATRE (Sale #10)
0.108 ETH - VERTICAL CANDY BUNGALOWS (Sale #18)
0.126 ETH - TECHNO BRUTAL PUNK FABRIQUE (Sale #42)
0.130 ETH - MUSEBOROUGH PAVS (Sale #25)
0.142 ETH - Retail v6 (Sale #29)
0.157 ETH - Retail v3 (Sale #43)
0.15 ETH - UMMUSE (Sale #7)
0.16 ETH - ISOLA (Sale #6)
0.182 ETH - HOLY SHADOW HQ (Sale #32)
0.186 ETH - ALIEN EARTHQUAKE (Sale #27)
0.234 ETH - METABOILERISM (Sale #34)
0.279 ETH - PODDIO DARK TWISTED VERTICALE (Sale #14)
0.297 ETH - POTBELLY QQ_FU_v2 (Sale #11)
0.334 ETH - C1TY_v2 (Sale #36)
0.477 ETH - DIGITAL EXPO CENTER (Sale #37)
0.681 ETH - POP-YP (Sale #38)
0.972 ETH - CAVE DESIGN STORE (Sale #40)
1.4 ETH - STARDEM (Sale #16)
2.0 ETH - JJ8 (Sale #19)
2.0 ETH - ASTRAL EGG PLANT (Sale #24)
2.0 ETH - K-DOCIINE HQ (Sale #26)
2.0 ETH - THE FINGER DOME (Sale #30)
3.0 ETH - MATSOUKA HILLS MANSION (Sale #22)
4.15 ETH - MATISSE TIME CHAIPEL (Sale #31)
5.0 ETH - DFWAM (Sale #28)
5.0 ETH - LA BIBLIOTHÈQUE (Sale #33)
6.0 ETH - NEUEDOJO (Sale #39)
7.0 ETH - BEYOND THE INFINITY (Sale #35)
10.0 ETH - XHBTION_SPC (Sale #41)

Bu liste, tüm satışları fiyatlarına göre küçükten büyüğe doğru sıralamakta ve her bir varlığın kaçıncı sırada satıldığını göstermektedir. Liste, en düşük fiyatlı 0.008 ETH'lik satışlardan başlayıp, en yüksek fiyatlı 10 ETH'lik satışa kadar uzanmaktadır.

SALES DISTRIBUTION BY QUARTILES

First Quartile (11 sales) Price Range: 0.008 ETH - 0.056 ETH

  • MIKADO (0.008 ETH)

  • FIGHT ARENA (0.008 ETH)

  • DECONSTRUCTIVIST EAGLE NEST (0.03 ETH)

  • Retail v4 (0.034 ETH)

  • Retail v3 (0.037 ETH)

  • pxl DUOMO (0.04 ETH)

  • PODDIO VERTICALE (0.04 ETH)

  • MYNHTTNWARE (0.05 ETH)

  • BOXMATE (0.053 ETH)

  • ATONAL VEINS (0.056 ETH)

  • CARBINE WICK (0.063 ETH)

Second Quartile (11 sales) Price Range: 0.074 ETH - 0.182 ETH

  • ROTAS VIRGIL (0.074 ETH)

  • Retail v5 (0.083 ETH)

  • CENTIPEDE (0.09 ETH)

  • BUREAU+THEATRE (0.1 ETH)

  • VERTICAL CANDY BUNGALOWS (0.108 ETH)

  • TECHNO BRUTAL PUNK FABRIQUE (0.126 ETH)

  • MUSEBOROUGH PAVS (0.130 ETH)

  • Retail v6 (0.142 ETH)

  • Retail v3 (0.157 ETH)

  • UMMUSE (0.15 ETH)

  • ISOLA (0.16 ETH)

Third Quartile (11 sales) Price Range: 0.182 ETH - 2.0 ETH

  • HOLY SHADOW HQ (0.182 ETH)

  • ALIEN EARTHQUAKE (0.186 ETH)

  • METABOILERISM (0.234 ETH)

  • PODDIO DARK TWISTED VERTICALE (0.279 ETH)

  • POTBELLY QQ_FU_v2 (0.297 ETH)

  • C1TY_v2 (0.334 ETH)

  • DIGITAL EXPO CENTER (0.477 ETH)

  • POP-YP (0.681 ETH)

  • CAVE DESIGN STORE (0.972 ETH)

  • STARDEM (1.4 ETH)

  • JJ8 (2.0 ETH)

Fourth Quartile (10 sales) Price Range: 2.0 ETH - 10.0 ETH

  • ASTRAL EGG PLANT (2.0 ETH)

  • K-DOCIINE HQ (2.0 ETH)

  • THE FINGER DOME (2.0 ETH)

  • MATSOUKA HILLS MANSION (3.0 ETH)

  • MATISSE TIME CHAIPEL (4.15 ETH)

  • DFWAM (5.0 ETH)

  • LA BIBLIOTHÈQUE (5.0 ETH)

  • NEUEDOJO (6.0 ETH)

  • BEYOND THE INFINITY (7.0 ETH)

  • XHBTION_SPC (10.0 ETH)

Analysis:

  • First and Second Quartiles consist primarily of Tier 1 assets

  • Third Quartile shows the transition between Tier 1 and Tier 2 assets

  • Fourth Quartile consists exclusively of Tier 2 assets

  • The most significant price jump occurs between the Third and Fourth Quartiles (2.0 ETH to 10.0 ETH)

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  1. Basic Definitions: Let A be the set of all assets Let S(n) be the set of sold assets at round n Let RV(a) be the real value of asset a ∈ A

  2. Sale Constraint: For any asset a ∈ A: If a ∈ S(i) for any round i, then a ∉ S(j) for all j ≠ i ∪S(n) ⊆ A (all sold assets must be from the asset pool)

  3. Tier Classification: T(RV) = { 1 if RV ≤ 1 ETH 2 if RV > 1 ETH }

  4. Price Calculation: Coefficient C(n) for round n: C(1) = 0.1 C(2) = 2.0 For n > 2: Before Turning Point: C(n) = C(n-1) - 0.1428571429 After Turning Point: C(n) = C(n-1) + 0.1428571429

Price Function P(a, n) for asset a in round n: For a ∈ A where T(RV(a)) = 1: P(a, n) = RV(a) × C(n) if a ∉ ∪S(i) for i < n

For a ∈ A where T(RV(a)) = 2: P(a, n) = RV(a) if a ∉ ∪S(i) for i < n and before Turning Point P(a, n) = RV(a) × C(n) if a ∉ ∪S(i) for i < n and after Turning Point

  1. System State: Total ETH at round n = ∑P(a, n) for all a ∈ S(n) Cumulative ETH = ∑∑P(a, i) for all a ∈ S(i), i ≤ n Turning Point occurs when Cumulative ETH ≥ 25 ETH

Digital Topographies Dynamic Pricing 

 

This is a two-tiered dynamic pricing system for 43 digital assets, where prices update every five sales based on specific multiplier coefficients and a turning point mechanism.

Tier Classification

  • Tier 1: Assets valued at or below 1 ETH

  • Tier 2: Assets valued above 1 ETH

Initial Pricing Structure

  • Tier 1 assets start at 0.1x their real value

  • Tier 2 assets start at 1.0x their real value (full price)

Price Update Mechanics The system updates prices every five sales using a coefficient system:

  1. Base multiplier starts at 2.0

  2. For each subsequent 5-sale round before the turning point:

    • Coefficient decreases by 0.1428571429

    • Only Tier 1 prices are affected by these updates

Turning Point Mechanism

  • Turning Point Threshold: 25 ETH in total sales

  • Before Turning Point: Coefficient decreases by 0.1428571429 each round

  • After Turning Point: Coefficient increases by 0.1428571429 each round

  • Tier 2 pricing only activates after reaching the turning point

Market Simulation Scenarios The data shows two different scenarios:

Scenario 1 (Lower-priced Assets Sold First):

  • Real value achieved during sales 21-25

  • Turning point reached during sales 35-40

  • Demonstrates slower accumulation toward turning point

Scenario 2 (Higher-priced Assets Sold First):

  • Real value achieved during sales 11-16

  • Turning point reached after sales 1-5

  • Shows rapid acceleration toward turning point

Price Calculation Formula

  1. Before Turning Point:

    • Tier 1: Asset Price = Real Value × (2.0 - (0.1428571429 × Round Number))

    • Tier 2: Asset Price = Real Value

  2. After Turning Point:

    • Tier 1: Asset Price = Real Value × (Previous Coefficient + 0.1428571429)

    • Tier 2: Asset Price = Real Value × Current Coefficient

This system creates a dynamic market where prices adjust based on sales volume and timing, with different mechanisms for assets in different value tiers, ultimately encouraging strategic purchasing decisions while maintaining market stability through the turning point mechanism.

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