The Bitcoin Games

Applying a game theory lens to Bitcoin can help build understanding about the current state of Bitcoin adoption, as well as forward-looking strategies to nudge the direction that the Bitcoin space evolves.

The Bitcoin Games
Photo by Murray Rudd (copyright © 2020)

Introduction

Bitcoin has emerged as a transformative force in the global financial landscape, attracting significant attention from individuals, institutions, and governments alike. As it continues to gain traction, understanding its adoption through the lens of game theory offers invaluable insights into its possible future trajectory. Game theory, which studies strategic decision-making among rational actors, provides a robust framework for analyzing the complex dynamics at play in Bitcoin adoption.

In this blog, I introduce and explore six game theory scenarios that illustrate different strategic interactions in the context of Bitcoin adoption:

  1. Coordination Game
  2. Prisoner's Dilemma
  3. Battle of the Sexes
  4. Chicken Game
  5. Stag Hunt
  6. Trust Game

Each scenario highlights the incentives and potential actions of key players, including individuals, financial institutions, and governments. Furthermore, I explore the concept of dynamic transitions between these game scenarios. Minor changes in payoff structures can significantly alter the behavior of players, leading to shifts from one type of game to another.

The application of game theory to Bitcoin adoption is particularly valuable because it allows us to anticipate the behaviors of various stakeholders in this evolving ecosystem. By understanding strategic interactions, we can better anticipate challenges, identify opportunities, and develop strategies to foster beneficial outcomes for all participants.

Through this game theory lens, we not only build understanding about the current state of Bitcoin adoption but also provide a forward-looking perspective on its potential evolution, considering technological advancements, regulatory changes, and market dynamics.

Strategic Thinking about Bitcoin

Game theory is highly relevant to Bitcoin adoption, given the diverse stakeholders involved, including individuals, institutions, and governments. Each ‘player’ has unique incentives and potential actions that can significantly impact Bitcoin's trajectory. Strategic thinking, therefore, is essential to navigate this complex landscape.

For individuals, Bitcoin represents both an investment opportunity and a means of participating in a decentralized financial system. Their strategic considerations include the potential for financial gain, the desire for financial privacy, and the appeal of a currency not controlled by any central authority. These motivations often align with game scenarios such as the Trust Game or the Battle of the Sexes.

Institutional investors, such as banks and investment firms, view Bitcoin from a different perspective. Their primary concerns are integrating Bitcoin into existing financial systems, managing regulatory risks, and leveraging Bitcoin to enhance their financial products and services. These considerations often place them in scenarios resembling the Coordination Game or the Prisoner's Dilemma.

For governments, the focus is on regulating Bitcoin to prevent illicit activities, protecting financial stability, and exploring how Bitcoin could fit into their broader monetary policies. Their actions can significantly influence the game dynamics, potentially shifting scenarios between the Chicken and Coordination Games.

Understanding the interplay of these diverse motivations requires a game-theoretical approach. By framing Bitcoin adoption as a series of strategic games, we may be able to anticipate the potential interactions between stakeholders and predict possible outcomes. This approach helps identify equilibrium points where the interests of different players align, as well as potential conflicts and points of tension.

By employing strategic thinking, stakeholders can not only navigate the current landscape of Bitcoin adoption but also actively shape its future. As we delve into the specific game scenarios in the following sections, we'll see how this strategic approach can illuminate the complex dynamics of Bitcoin adoption and point the way towards mutually beneficial outcomes.

Let the Games Begin

Coordination Game - Global Bitcoin Standard

Imagine a world where Bitcoin is the global standard for value exchange. In this Coordination Game, major financial institutions, sovereign wealth funds, and governments all adopt Bitcoin.

When players coordinate, they achieve better outcomes than if they act alone. This scenario is depicted in a payoff matrix (Table 1), where the highest rewards come when all parties adopt Bitcoin, creating a stable, widely accepted currency that boosts international trade, financial stability, and investment flows.

Table 1. Payoff matrix for the Coordination Game

 

Other Countries Adopt

Other Countries Don't Adopt

Country Adopts

(3, 3)

(0, 1)

Country Doesn't

(1, 0)

(1, 1)

A payoff matrix is a simple yet powerful tool used in game theory to show the potential outcomes of different strategic choices made by players. In this table, the rows represent the choices of one country, while the columns represent the choices of other countries. Each cell shows the payoffs or benefits for both players based on their combined choices. The first number in the parentheses represents the payoff for the row player (the country making the choice in the row), and the second number represents the payoff for the column player (other countries).

Let's break down the matrix:

  • (3, 3): If both the country and other countries adopt Bitcoin, they each receive a high payoff (3), reflecting mutual benefits from a coordinated adoption.
  • (0, 1): If the country adopts Bitcoin but other countries do not, the country gets a low payoff (0) due to challenges like volatility and limited use cases, while other countries capture some benefits and a moderate payoff (1).
  • (1, 0): If the country does not adopt Bitcoin but other countries do, the country misses out on benefits, receiving a low payoff (0), while other countries enjoy the advantages of adoption with a higher payoff (1).
  • (1, 1): If no one adopts Bitcoin, everyone sticks with the current system, resulting in moderate payoffs (1) for all. Note that both (1,1) and (3,3) are what are known as Nash equilibria.

Game theorists have long known that coordination depends on the benefits of proactive action, and game theory has been used to explain first mover advantages and benefits thresholds after which it is in everyone’s self-interest to hop on the bandwagon and cooperate.

One other thing to note: simple 2x2 static games ignore knowledge about trustworthiness. When games are repeated, players begin to understand the intentions of others. Bob Axelrod published a landmark book in 1994, summarizing his computer simulation research on the evolution of cooperation and his discovery of the famous tit-for-tat strategy (I cooperate if you cooperate; if you cheat me, you will be punished). Humans are, in fact, extremely capable of assessing trustworthiness in other humans because of evolutionary pressures (you don't survive long if you cannot judge the character of your 'friends').


El Salvador's decision to adopt Bitcoin as legal tender in 2021 is a prime example of a Coordination Game in action. The country's move aimed to boost financial inclusion, attract foreign investment, and lower remittance costs. Despite facing challenges, it set a precedent for national-level Bitcoin adoption and showcased the potential benefits of coordinated action. The results of El Salvador’s strategic move have yet to fully play out; if Bitcoin does become a global reserve asset, El Salvador is positioned to derive massive benefits. The goal of turning El Salvador into Latin America’s ‘Singapore’ is already taking shape.

Similarly, the increasing acceptance of Bitcoin by major financial institutions, such as the approval of Bitcoin ETFs, signifies a shift towards mainstream integration. These ETFs provide a regulated and accessible way for investors to gain exposure to Bitcoin, further promoting its adoption.

Blackrock, Fidelity, Ark, and the other ETF issuers are spending significant amounts to educate potential new Bitcoin investors and engage in advertising campaigns. Bitcoin is a decentralized protocol, simply open-source software, so there is no owner, management team or marketing department to initiate measures to promote coordination.

The widespread adoption of Bitcoin could enhance global financial cooperation by creating a unified digital currency standard that simplifies trade and investment flows. This coordination leads to a more integrated and efficient financial system. Real-world examples like El Salvador's pioneering efforts and the institutional investment trends underscore the potential for Bitcoin to become a global financial standard.

Prisoner's Dilemma - KYC vs. Non-KYC Bitcoin

In a Prisoner's Dilemma (PD), individual rationality leads to a suboptimal outcome for all involved. The Prisoner's Dilemma is a scenario in game theory where two individuals acting in their own self-interest do not produce the optimal outcome for either, illustrating why rational individuals might not cooperate even when it's in their best interests to do so. Garrett Hardin made it famous, and recommended strong top-down governance to solve it. However, Elinor Ostrom shared the 2009 Nobel in economics for her decades of fieldwork that demonstrated people can escape the PD using bottom-up approaches (see the Box below).  

This scenario is particularly relevant in the context of Bitcoin, where governments and users face a dilemma: regulate Bitcoin strictly to enforce Know Your Customer (KYC) rules or allow its growth with minimal oversight. This situation can be illustrated with a payoff matrix (Table 2), where the interactions between governments and Bitcoin users highlight the conflicting incentives and potential outcomes.

 Table 2. Payoff matrix for the Prisoner’s Dilemma

 

Users Cooperate

Users Defect

Govt Cooperate

(3, 3)

(1, 4)

Govt Defect

(4, 1)

(2, 2)

For instance, if both governments and users cooperate by adhering to KYC rules, the outcome is moderately beneficial for both. Governments maintain some control, while users retain a degree of privacy, albeit with certain limitations. If governments choose to cooperate (allowing non-KYC transactions) but users defect (engaging in non-KYC transactions), users gain maximum privacy and freedom, while governments lose significant control and tax revenue.

The increasing regulatory pressure in some jurisdictions underscores the tension inherent in the PD scenario. Governments globally are implementing stricter KYC and AML regulations to curb illicit activities involving Bitcoin. The Financial Action Task Force (FATF), for instance, has issued guidelines requiring exchanges to comply with stringent KYC rules. These measures highlight the government's inclination to defect to maintain control over financial activities.

Conversely, if governments defect (strictly regulate KYC) while users cooperate, governments gain maximum control and tax revenue, but users lose privacy and financial freedom. The worst outcome occurs when both defect, leading to a suboptimal situation where governments expend resources on enforcement and users face significant risks and limitations.

This regulatory push-pull results in a fragmented market where compliant Bitcoin transactions occur on regulated platforms, while non-compliant transactions flourish in decentralized, unregulated spaces. Such fragmentation increases enforcement costs for governments and heightens risks for users involved in non-KYC transactions.

This suboptimal outcome of widespread defection emphasizes the need for a balanced approach that addresses both regulatory concerns and user privacy. Strategies could include privacy-preserving KYC technologies and incentive structures to encourage voluntary compliance among users, thus mitigating the risks associated with a bifurcated market.

Battle of the Sexes - Institutional vs. Grassroots Adoption

In the Battle of the Sexes, players prefer to coordinate but have different preferences. This scenario is particularly relevant in the context of Bitcoin, where institutional and grassroots adopters have divergent visions for its future use. Institutional players, such as large financial firms and ETF providers, prefer a regulated environment that integrates Bitcoin into traditional financial systems.

In contrast, grassroots adopters, including individual users and small businesses, favor P2P transactions that preserve Bitcoin's decentralized nature. This situation can be illustrated with a payoff matrix (Table 3), where the interactions between institutional and grassroots players highlight their conflicting preferences and potential outcomes.

Table 3. Payoff matrix for the Battle of the Sexes

 

Grassroots: P2P

Grassroots: Regulated

Institutional: P2P

(2, 3)

(0, 0)

Institutional: Regulated

(0, 0)

(3, 2)

For instance, if both institutions and grassroots adopters coordinate on P2P use, grassroots users derive more satisfaction due to the alignment with their preference for decentralized transactions. Conversely, if both groups coordinate on regulated use, institutions are more satisfied as it aligns with their preference for regulatory compliance and integration into traditional finance. If there is no coordination (one group opting for P2P while the other opts for regulation), both groups receive minimal benefits, reflecting a lack of cohesive strategy and mutual dissatisfaction.

The rise of Bitcoin ETFs and other institutional products showcases the institutional preference for regulated Bitcoin use. These financial instruments allow investors to gain exposure to Bitcoin within a regulatory framework, providing a level of security and legitimacy appealing to traditional financial entities. The approval of Bitcoin ETFs in various jurisdictions marks a significant step towards mainstream acceptance and integration of Bitcoin into the existing financial system.

On the flip side, the continued growth of P2P Bitcoin networks underscores the grassroots preference for decentralized transactions. DEXs facilitate P2P trading, emphasizing privacy and autonomy over regulatory compliance. This grassroots movement, driven by a commitment to Bitcoin's original principles, focuses on financial sovereignty and minimal intervention from centralized authorities.

The Battle of the Sexes scenario in Bitcoin adoption likely results in a mixed landscape, where Bitcoin serves different purposes for various user groups. Institutional adoption will drive the development of regulated financial products and services, integrating Bitcoin into the global financial system. Simultaneously, grassroots adoption will sustain the use of Bitcoin for P2P transactions, preserving its decentralized ethos and providing an alternative financial system for those seeking privacy and autonomy.

Chicken Game - Risk and Reward

In the Chicken Game, made famous by reckless teenagers in the movie Rebel Without a Cause (and Mutually Assured Destruction doctrine in real life), players face a showdown where being the first to swerve to avoid plunging off a cliff makes one the "loser." However, if neither player swerves, both face catastrophic outcomes.

"This is dangerous. You know that, don't you?" (generated in DALL-E 3, July 2024)

This dynamic can be applied to Bitcoin, albeit less dramatically, where governments and large financial institutions face off against the decentralized community over regulatory control and acceptance. The payoff matrix for the Chicken Game is illustrated in Table 4.

Table 4. Payoff matrix for the Chicken Game

 

Decentralized Community Swerves

Decentralized Community Doesn't Swerve

Govt Swerves

(2, 2)

(0, 3)

Govt Doesn't Swerve

(3, 0)

(0, 0)

If both sides cooperate moderately (swerve), they achieve an acceptable balance. If the government swerves and the decentralized community doesn't, the latter wins by retaining full autonomy. Conversely, if the community swerves and the government doesn't, the government imposes even stricter controls. The worst outcome is when neither swerves, leading to severe conflicts and setbacks for Bitcoin adoption.

Instances of this Chicken Game are seen in regulatory standoffs. For example, China's stringent crackdown on Bitcoin mining and exchanges pushed parts of the community underground, while in the US, regulatory uncertainty and hostility, Operation Chokepoint 2.0 for instance, continues to create tension between the government and the Bitcoin community.

Navigating this game requires strategic compromises. Governments and the decentralized community must find a middle ground that allows regulatory oversight without stifling innovation. Successful navigation could transition this game into a more cooperative scenario, such as a Coordination Game, where both sides achieve greater mutual benefits.

Stag Hunt - Collective Security and Adoption

The Stag Hunt (also known as the Assurance Game) illustrates a situation where players can either patiently cooperate for a large reward or act alone for a smaller, guaranteed reward. Applied to Bitcoin, stakeholders can cooperate to achieve widespread adoption and stability or act independently for short-term gains. Table 5 depicts the payoff matrix for the Assurance Game.

Table 5. Payoff matrix for the Stag Hunt (Assurance Game)

 

Others Cooperate

Others Don't Cooperate

Player Cooperates

(3, 3)

(0, 2)

Player Doesn't Cooperate

(2, 0)

(2, 2)

In this scenario, cooperation yields the highest payoff (3, 3) as all parties benefit from a stable and widely adopted Bitcoin. Acting independently provides immediate but smaller rewards, with greater risks of instability. This dynamic is crucial in understanding the collaborative efforts needed within the Bitcoin community to enhance the network's security and adoption.

Collaborative efforts like the Bitcoin Scaling Agreement and collective security measures against 51% attacks exemplify the Stag Hunt in action. These cooperative efforts aim to strengthen Bitcoin's network security and scalability. For instance, collective measures to prevent 51% attacks, where a single entity gains majority control over the network, require ongoing cooperation among miners to distribute hashing power across mining pools.

Achieving widespread cooperation among stakeholders can significantly enhance Bitcoin's stability and adoption. This cooperation can lead to more robust security frameworks and scalability solutions, ensuring Bitcoin's resilience in the long term.

Trust Game - Building Confidence in the Ecosystem

The Trust Game involves two players: a trustor, who decides whether to trust, and a trustee, who decides whether to honor or betray that trust. This game is particularly relevant in the context of Bitcoin, where users must decide whether to trust exchanges and custodial services. The payoff matrix for the Trust Game illustrates the potential outcomes (Table 6).

Table 6. Payoff matrix for the Trust Game

 

Trustee Honors Trust

Trustee Betrays Trust

Trustor Trusts

(3, 3)

(0,4)

Trustor Doesn't

(2, 2)

(1, 1)

When the trustor decides to trust and the trustee honors that trust, both parties benefit significantly (3, 3). However, the trustee has incentives to mislead and if the trustee betrays the trust, the trustor suffers severe losses (0, 4). On the other hand, if the trustor chooses not to trust, they avoid significant risks, resulting in sub-optimal, but non-zero, outcomes regardless of the trustee's actions (2, 2) or (1, 1).

This dynamic is evident in the Bitcoin ecosystem, where the relationship between users and exchanges or custodial services is built on trust. Incidents like the Mt. Gox hack and other exchange failures highlight the Trust Game in Bitcoin. These events shook user confidence and emphasized the need for reliable custodial services. The collapse of Mt. Gox, once the largest Bitcoin exchange, resulted in the loss of 850,000 bitcoins, severely impacting users' trust in centralized exchanges. This breach of trust underscored the vulnerabilities inherent in relying on a single point of failure, prompting users to seek more secure and transparent custodial solutions.

Enhancing trust within the Bitcoin ecosystem through secure exchanges and transparent operations can lead to more substantial user adoption and network stability. Building trust can transition the game dynamics towards more cooperative and rewarding interactions. For example, decentralized exchanges (DEXs) and multi-signature wallets offer more secure alternatives by distributing control and reducing the risk of single points of failure. These innovations not only protect users' assets but also foster a more resilient and trustworthy Bitcoin ecosystem.

Going 'trustless' by reducing or eliminating the necessity of assessing the trustworthiness of other people has very important ramifications for the optimal balance between decentralized versus centralized govenance. Bitcoin can be viewed as a 'trust machine' that can reduce the transaction costs of governance, which implies a tipping of the balance towards more decentralized governance structures.

The Role of Technological Advancements

Technological innovations play a pivotal role in shaping Bitcoin adoption dynamics. Advancements such as Layer 2 scaling solutions, privacy-enhancing technologies, and institutional-grade custody solutions address the diverse needs of Bitcoin stakeholders. These innovations can significantly influence strategic preferences, fostering a more integrated and efficient adoption landscape.

For instance, the Lightning Network, a Layer 2 solution, dramatically improves Bitcoin's usability for everyday transactions. This innovation particularly appeals to grassroots users who prioritize speed and low fees, including individuals and NGOs in countries with repressive regimes. On the institutional front, advanced custody solutions provide the security and compliance features needed by large financial entities, making Bitcoin a more viable asset for institutional portfolios.

These technological advancements serve multiple purposes:

  • They enhance the Bitcoin network's functionality and security.
  • They reduce transaction costs, thus influencing risks, payoffs, and adoption rates.
  • They may help transition the ecosystem from fragmented, competitive scenarios to more coordinated, collaborative ones.

By promoting innovations that address the distinct needs of various stakeholders, on both sides of the political spectrum, perhaps it is possible to create a balanced environment where both institutional and grassroots participants can thrive.

Understanding the impact of these technological advancements is essential for navigating the complex landscape of Bitcoin adoption and anticipating future strategic shifts.

Dynamic Transitions Between Games

In the complex landscape of Bitcoin adoption, minor alterations in payoff structures can significantly impact player behavior, leading to transitions between different game scenarios.

Understanding these dynamic transitions is crucial for anticipating how shifts in regulations, market conditions, or technological advancements can influence strategic interactions among stakeholders.

For example:

  • Regulatory changes might push the system from a Prisoner's Dilemma scenario to a Coordination Game. If governments implement more Bitcoin-friendly policies, it could align the interests of both regulators and users, fostering cooperation.
  • Technological advancements could shift dynamics from a Battle of the Sexes to a more cooperative framework. Innovations that bridge the gap between institutional requirements and grassroots preferences could create a unified strategy for adoption.

These transitions are not merely theoretical constructs; they have practical implications for Bitcoin's adoption and usage. By recognizing the potential pathways between different game scenarios, stakeholders can better strategize to achieve desired outcomes, whether that's fostering wider adoption, enhancing regulatory compliance, or maintaining Bitcoin's decentralized nature.

Understanding these dynamic transitions allows for a more adaptive approach to:

  • Policymaking: Regulators can anticipate how their decisions might shift the strategic landscape.
  • Investment: Institutional and individual investors can better predict and respond to changing market dynamics.
  • Development: Bitcoin developers can focus on innovations that facilitate beneficial transitions between game scenarios.

From a societal perspective, the most favorable game outcomes are those that maximize collective benefits while minimizing risks. Scenarios such as the Coordination Game and the Stag Hunt, where cooperative efforts lead to widespread adoption, stability, and robust security, are ideal. These outcomes foster a stable financial system, enhance financial inclusion, and promote technological innovation.

Less favorable outcomes, like the Chicken Game or Prisoner's Dilemma, where conflicts and defection prevail, can lead to fragmentation, increased risks, and hindered adoption. Therefore, it is essential to identify and navigate transitions that lead from less favorable to more desirable game scenarios.

As we look towards the future of Bitcoin adoption, the game theory framework provides valuable insights into potential trends and strategic dynamics. Currently, the landscape of Bitcoin adoption appears to be characterized by a Coordination Game scenario. Significant strides in institutional investments and regulatory developments have been made, such as the approval of Bitcoin ETFs and increasing interest from sovereign wealth funds, which collectively recognize Bitcoin as a legitimate asset class. These efforts may stabilize Bitcoin’s volatility, enhance its liquidity, and integrate it into existing financial frameworks.

However, the dynamic nature of the Bitcoin ecosystem means this current state could shift. Technological advancements, such as Layer 2 solutions like the Lightning Network and privacy-enhancing technologies, could push the dynamics towards other game scenarios like Battle of the Sexes or the Trust Game. Regulatory changes could also drive transitions; for instance, stringent actions might transform a Prisoner's Dilemma into a Coordination Game, while uncertainty could lead to a Chicken Game scenario.

Market conditions, including price volatility, also play a crucial role. Economic downturns might reinforce Coordination Game dynamics as Bitcoin is increasingly viewed as a hedge against inflation. Looking ahead, potential scenarios include enhanced coordination, regulatory bifurcation, or technological disruption. We might see a blend of coordinated and decentralized strategies reflecting the diverse motivations of different stakeholders.

These shifts carry significant implications for stakeholders. Investors who understand these transitions can better anticipate market trends. Developers can guide innovation towards solutions that facilitate beneficial transitions, and regulators can create adaptive policies that foster innovation while managing risks. Traditional financial institutions must prepare for potential shifts to position themselves advantageously.

The future trajectory of Bitcoin adoption will depend on how effectively stakeholders navigate these dynamic transitions. By applying strategic thinking rooted in game theory, we may be able to nudge Bitcoin toward a more integrated and resilient role in the global financial system. This approach ensures that as the Bitcoin games evolve, we are well-equipped to understand, predict, and shape outcomes, fostering an ecosystem that balances innovation and stability.

Implications for Stakeholders

Policymakers and Regulators

Policymakers and regulators must grasp the strategic implications of different game scenarios to craft effective regulations. Recognizing whether the Bitcoin ecosystem is leaning towards a particular game structure can help in developing policies that encourage cooperation and mitigate risks. For example, offering tax incentives for compliant transactions or implementing privacy-preserving KYC technologies can foster a more cooperative environment. Additionally, regulators should remain flexible and adaptive, ready to respond to technological advancements and shifts in market conditions that may alter the strategic landscape of Bitcoin adoption.

Bitcoin Developers and Entrepreneurs

For Bitcoin developers and entrepreneurs, innovation is key to aligning stakeholder interests and facilitating transitions to more favorable game structures. By creating technologies that address the diverse needs of institutional and grassroots users, developers can help transition from fragmented, competitive scenarios to more coordinated, collaborative ones. Innovations in areas such as institutional-grade custody solutions, enhanced privacy features, and scalable Layer 2 technologies can bridge the gap between different user groups, promoting a more unified and robust Bitcoin ecosystem.

Institutional and Individual Investors

Institutional and individual investors need to stay informed about the evolving dynamics of Bitcoin adoption to make strategic investment decisions. Understanding the potential transitions between different game scenarios allows investors to anticipate market trends and adjust their strategies accordingly. For instance, recognizing a shift towards greater regulatory compliance can guide investment in compliant platforms and technologies, while awareness of grassroots innovations might highlight opportunities in DeFi and P2P markets.

Broader Financial System

The broader financial system must recognize the potential impact of Bitcoin adoption on global finance and adapt accordingly. As Bitcoin continues to integrate into mainstream financial systems, traditional financial institutions should prepare for increased interaction with digital assets. This includes developing infrastructure for Bitcoin transactions, exploring integration with existing financial products, and understanding the regulatory landscape. Moreover, financial institutions should be aware of the dual-use nature of Bitcoin, serving both institutional and decentralized purposes, and adapt their strategies to leverage this versatility.

Bitcoin maximalists

Bitcoin maximalists (‘maxis’), who tend to prioritize financial sovereignty, privacy, and decentralization, play a crucial role in the Bitcoin space. Their focus is not just on financial gains but on maintaining Bitcoin's core principles. The game theory implications for this group emphasize cooperation, trust, and strategic navigation of regulatory landscapes to uphold these values.

Maxis may face the Stag Hunt scenario when deciding whether to collaborate for a robust decentralized network or act independently for immediate privacy benefits. By cooperating, they can enhance Bitcoin's security and scalability, leading to a stronger, more resilient network that benefits all users. Acting independently, while providing immediate gains, risks a fragmented network vulnerable to regulatory pressures.

The tension between adhering to regulatory requirements and prioritizing privacy is a classic Prisoner's Dilemma for maxis. Finding a balance through privacy-preserving KYC solutions may help create a stable, compliant ecosystem without sacrificing privacy. However, ignoring regulations could lead to increased enforcement actions and a fragmented market with higher risks.

Trust is paramount for anyone using centralized exchanges and custodial services. If service providers honor this trust by ensuring security and transparency, it enhances overall confidence and adoption. Betrayal of trust, such as through exchange hacks, can severely damage user confidence, underscoring the need for decentralized, trustless solutions like Bitcoin. Most maxis self-custody bitcoin because they don’t trust third parties. Instead, they often take full responsibility for the security of their own assets by storing them offline in cryptographically- protected ‘cold wallets.’

Many maxis might view a Battle of the Sexes scenario, with its bifurcated ecosystem, as preferable to being co-opted by traditional finance and governments. By understanding these game theory implications, maxis can better strategize to achieve outcomes that align with their values. Already there are signs of jurisdictional arbitrage among maxis, with increasing numbers of maxis re-locating to countries with friendlier ownership and tax regulations, and governance systems more aligned with their often-libertarian values.

Conclusion

The dynamic interplay of various game theory scenarios offers valuable insights into shaping Bitcoin's future. Stakeholders must recognize their roles in this evolving ecosystem to make informed and effective decisions. As Bitcoin continues to emerge as a transformative force in global finance, applying game theory provides a robust framework for analyzing the complex interactions among individuals, institutions, and governments.

The games discussed – Coordination Game, Prisoner's Dilemma, Battle of the Sexes, Chicken, Stag Hunt, and Trust Game – each reveal unique strategic interactions and potential outcomes. These scenarios illustrate the incentives and actions of key players, highlighting both opportunities and challenges. Anticipating and navigating transitions between these game scenarios is crucial. Minor changes in payoff structures, driven by technological advancements, market conditions, or regulatory developments, can significantly alter stakeholder behavior.

By recognizing these dynamic transitions, policymakers, developers, investors, and other stakeholders can better strategize to achieve desired outcomes. Policymakers and regulators can craft effective regulations that promote cooperation and mitigate risks. Developers and entrepreneurs can innovate to align diverse stakeholder interests. Institutional and individual investors can stay informed about evolving dynamics to make strategic investment decisions. The broader financial system can adapt to integrate Bitcoin more effectively.

This is not just about a single game but a diverse suite: the ‘Bitcoin Games’ are complicated because they vary across political and cultural contexts, and geographic and temporal scales.

To realize Bitcoin's potential, all stakeholders must engage in strategic thinking and collaboration: policymakers should craft balanced regulations; developers should innovate to bridge user needs; investors should adapt to market dynamics; and the broader financial system must integrate Bitcoin's strengths while addressing its challenges.

By understanding the ‘Bitcoin Games,’ we all have a role to play in collectively helping to guide Bitcoin's adoption, ensuring its success as a cornerstone of future prosperity.

(Copyright (c) 2024, by Murray A Rudd)


Download this paper

Check my SSRN preprint site for a more academic version of this piece, which is both downloadable and citable. It is not available for download yet (as of 17 July 2024), but should be online in the next couple of weeks.


Further reading

Much of my thinking about game theory topology and evolution was initially informed by a year of doctoral studies at Indiana University. At that time (1999), Elinor and Vincent Ostrom’s Workship in Political Theory and Policy Analysis was a hive of activity for agent-based modeling and game theory. Here are a mix of a few classic and low-profile academic references that have informed my thinking over time: