2.3 Game Theory Overview

Odyssey is an innovation in the way individuals interact with financial protocols, and we believe Odyssey is solving the problem of innovative currencies through internal coordination between different stakeholders within the protocol, without having to resort to any policies implemented by traditional finance. Essentially, this is an example of the contributor's prisoner's dilemma. The Contributor Prisoner's Dilemma is a situation in which individual and individual interests conflict with a common goal, causing players in the game to not cooperate even though it is in their best interest to cooperate.

We need to first outline the basic elements of game theory and analyze the Prisoner's Dilemma from a purely abstract perspective. We'll then dive into Odyssey's specific components. Odyssey Eternal is a very complex protocol that deserves an in-depth and thorough analysis and study.

Contributor Prisoner's Dilemma

One of the first games game theory students learn is the Prisoner's Dilemma because it is a simple game that can be used in a variety of strategic situations. Once you see it and understand it, you'll see it everywhere.

Let’s briefly tell the story. The core setting of the story: Two thieves were caught planning a robbery in a shopping mall and were caught at the police station. The police suspected that the two thieves planned to rob the store, but they lacked evidence to prove their actions. Therefore, they demand confessions to charge the suspect with more serious crimes. The interrogator separated the suspects and told them:

"We are charging you with trespassing which will put you in jail for 1 month. I know you intended to rob the store but I can't prove it without your testimony. Come clean to me now and I will dismiss your trespassing charge and set you free. Your friend will be charged with robbery and face 12 months in jail. I am offering the same policy to your friend. If you both plead guilty, you

"Your personal testimony is no longer valuable and you will both be sentenced to 8 months in prison." Both players are selfish and want to minimize their prison time, so what should they do? Using a payoff matrix allows us to condense all the information into an easy-to-analyse chart:

The available strategies for User 1 are (Silence or Confession), and their corresponding payoffs are the first number in each cell. User 2's available strategies are the columns, and their corresponding payoffs are the second number in the cell.

quiet: silence; confess: confess;

Hypotheses and conclusions:

We assume that the preference of both users is to minimize their jail time

We assume that both users are selfish (i.e. neither of them cares about the fate of their friends)

We assume there is only one interaction

We assume users cannot interact and plan their reactions in advance

These assumptions lead to a suboptimal outcome in the game (confess,confess), which is (-8, -8). We can see that if both users remained silent, they would receive less jail time. This is an unstable equilibrium, and if both sides believe the other remains silent, they will receive less jail time. This is an unstable equilibrium. If both parties believe that the other will remain silent, they will confess.

Therefore (confess,confess) is the only Nash equilibrium. A Nash equilibrium is a state in the game where no user wants to deviate from their strategy, given what other users are doing.

However, if both users can cooperate with each other and keep quiet, they will achieve better results. This is an important conclusion because it shows us that two people may not cooperate even though this seems to be the best strategy for both parties.

How to break out of the prisoner's dilemma has important implications for wider society and for Odyssey. We are often told that in a capitalist economy, individuals only care about their own interests, so selfish and competitive behavior is the norm, and cooperation is actually the best way to win.

The prisoner's dilemma reveals the conflict between individual rationality and collective interests, and Odyssey allows humans to move towards a better equilibrium in a decentralized economy through cryptographic constraints, repeated games, and transparency.

"In the old world, betrayal was rational; in Odyssey, cooperation is an algorithm-enforced survival strategy."

Odyssey Game Theory Explanation

The simplest Odyssey mode, with two players and five possible actions:

Enable staking (bond)

Algorithmic non-stable currency ODY (stake)

Selling ODY (sell)

Repurchase pledge (repeat)

Receive reward burning (protect)

When more participants participate in staking in the market, the price of ODY continues to rise, and players are more willing to repurchase and pledge to continue to obtain more ODY. When players predict that the income from the staking algorithm will decrease and prices will fall, they may sell ODY or participate in other ecosystems to increase value. When players do not suffer major negative impacts and have no obvious tendency, they are more willing to start staking. Through the algorithm, the price of ODY can be pushed up by +2, and selling ODY can push the price down by -2. The RBS intelligent core module always keeps ODY stable within a price range.

As can be seen from the table above, the optimal strategy is for two players to cooperate. Both parties participate in the staking algorithm. The result is 6: one pledges the algorithm and the other does not participate. The result is 4: sell/algorithm, sell/not participate in the mutual hedging is neutral 0: the worst result is that the two players do not trust each other, and the result of all selling is -6. The behavior of the market depends on premiums, market outlook, macro environment, and a host of other factors.

There is no need to take the size, plus or minus of the numbers too seriously. The table is just to show the positive environment created by cooperation. Mutual cooperation will produce the best results, and if you don't plan to stick with it in the long term, we recommend that you don't get involved. We don’t need players who sell BTC for $60,000 and buy it back for $30,000. Maybe the ODY you hold is the next better choice.

collaborative theory

In Odyssey's philosophy, multi-player market economy negotiation and cooperation is the key to promoting the distributed autonomy of "Ithaca DAO". With the rapid development of information technology, the digital economy has become a new economic form after the agricultural economy and industrial economy, and is in sharp contrast to the traditional material economy. We can analyze it through the value distribution and social impact of the two. The problems of the material economy are mainly concentrated in distribution contradictions and growth limits; while the digital economy can allow data oligarchy (such as GAFA) to monopolize vs. digital nomads (gig economy). And with strong inclusive potential, DeFi allows people without bank accounts to obtain financial services.

It is this fair and reasonable distribution mechanism that enables the market to achieve effective self-regulation. Odyssey builds a distributed autonomy framework by promoting negotiations between markets, allowing social norms to affect economic distribution in a reasonable and fair manner.

Through these rules formulated by Odyssey, it is reshaping the global economic structure. Compared with the traditional material economy, it has shown significant advantages in efficiency, innovation, inclusiveness, sustainability, etc. The market can operate under a new organizational economic model aimed at fairness, autonomy, and security. In economic theory and financial practice, this model not only focuses on economic benefits, but also on social value.

How to verify the basic theory

The rules of Odyssey essentially include four aspects: casting (casting), ODY (price coordination), staking (ODY value-added), repurchase (blood-forming mechanism), and burning (disk control mechanism).

Minting (minting): Algorithmic non-stable coins are issued through smart contracts, and players obtain ODY governance tokens through minting. In return for the staking algorithm, participants receive compound rewards based on the rate of return, and the reward policy is controlled by the "Isaka Council". The Congress noted that internal coordination - general agreement, positive sum, cooperative behavior - price coordination - zero sum, competitive behavior

To - be more economically productive. Internal coordination of the economy is an important tool to combat market failure, respond to external shocks, and achieve specific goals, but its success relies on breakthroughs in information technology (solving Hayek's knowledge problem); incentive-compatible design (avoiding free riding); flexibility and adaptability (preventing rigidity).

ODY (Price Coordination): The price mechanism of the market economy is determined jointly by the "Isaka Council" and the participating players. It is also a win-win situation. ODY is a governance token obtained by players through a staking algorithm. The tokens obtained can choose to enable bond pledge or single currency pledge. A fair and transparent decentralized mechanism is guaranteed to the greatest extent. Participants only need to hold pledges to obtain the corresponding ODY through casting. Price coordination is in a stable stage most of the time. Selling ODY will automatically deduct 3% as a handling fee, causing the supply and demand relationship to change. Bonds and single currency pledges are coordinated with each other to ensure the stability of ODY. This price coordination and equilibrium is a summary of economic supply. It is also a strategy used by Odyssey's fiscal and policy team to control prices, through variables that set certain capacity and target limits for the Treasury to receive most assets within a specified time. As ODY reaches a certain target limit, the amount of destruction will expand infinitely to achieve internal economic coordination and balance.

Pledge (ODY appreciation): The development of the economy will not always develop stably among the "Ishaka Council" and the fiscal policy team and market participants. The economy always seems to present unstable factors in the market. The flow ecology will prevent unstable factors when they occur. The pledge algorithm is divided into bond pledge and single currency pledge. When the market is in a situation where ODY tokens are difficult to circulate, bond pledge will become the mainstream method to solve the liquidity problem. When ODY token liquidity is high, the EM smart currency issuance module will mainly promote the single currency pledge model. Investors cannot continue to purchase bonds at this stage and can only purchase ODY in the Swap pool for pledge.

Repurchase (hematopoietic mechanism): The development of the internally coordinated economy is inseparable from the hematopoietic mechanism, and it is also Odyssey

Value closed loop model. Players can obtain rewards from the Treasury that are 5 times the amount of investment. When the rewards exceed 5 times the amount of investment, they need to repurchase. The essence of repurchase is the continuous release of user lifetime value (LTV), and the following closed loop needs to be constructed: [First time opening] → [Experience satisfaction] → [Demand recurrence] → [Trigger repurchase] → [Loyalty strengthening] → [Word of mouth communication] to form value base support.

Burning (disk control mechanism): Odyssey aims to build a multi-node distributed platform, "I

"Saka Council" believes that the core of future innovative finance DeFi3.0 finance is the security mechanism. Through , the algorithm is written as a protection and security mechanism. When participating players receive income, they need to receive it according to the corresponding time and burn the tokens for distribution. Effectively form value base support.

policy guidance intervention

Policy guidance intervention is the main way for Odyssey to self-regulate irrational and out-of-control reflexes under market conditions. Second, policy-guided intervention serves as a focal point to offset external market forces to the maximum extent possible, or to cooperate with external market forces to maintain internal productivity. The strong intervention of the "Ithaca Council" will have a stabilizing effect on Odyssey's financial system, and the financial market will stabilize and develop through policy intervention.

Improve system security: Mandatory smart contract audit, and can only go online after passing third-party security audit (such as CertiK, OpenZeppelin), reducing the risk of vulnerabilities. Odyssey cross-chain bridge supervision sets reserve requirements for asset Odyssey cross-chain protocols (such as LayerZero and Wormhole) to prevent liquidity from drying up. Odyssey is open source and open through CertiK and OpenZeppelin audits, and each process code is open and transparent.

Staking Control Variables: This measure is partially controlled by the "Ithaca Council" to incentivize Odyssey's accurate data composition. Through supply and demand regulation: reduce pledges → reduce block output speed → create scarcity → push up prices; increase pledges → accelerate block generation → sell off algorithm profits → suppress prices. For example: the ratio of output and selling of liquidity provider assets to stable assets. Each asset has different reserve-backed attributes that must be weighted in aggregate to achieve healthy growth and sufficiently stable reserve support.

ODY premium game theory: The "Ithaca Council" believes that an excessively high or too fast ODY premium is not a common market measure, let alone a policy leveraging behavior. It should grow steadily and orderly, and the premise of growth is anchored to market participation and scarcity. After discovering this value, the "Ithaca Council" achieved the effect of stabilizing the premium by controlling the pledged output. Premium is an external/price measure of internal coordination; the reason ODY trades at a higher than normal premium rate is due to external market perceptions of effective internal coordination by Odyssey contributors. This external view reflects investors' high optimism about ODY's price and output. This casting standard is set by the market, not directly by the "Ithaca Council," but it can be affected by policy-guided intervention.

Diversified mechanisms to build a high-speed economic mothership

In the future civilized world of finance and digital assets, an ideal prototype of an economic mothership will be constructed. Its purpose is to resolve the market uncertainty caused by Odyssey. It visually illustrates how Eternity self-regulates and aligns incentives in three main directions - Market/Staking, Staking Algorithms, and the "Ithaca Council." The model shows how implementations can generalize the economic forces of supply and demand to match or offset runaway resonances in the market.

Odyssey achieves a super-efficient, adaptive, and sustainable growth economic system through the integration of diversified mechanisms. Its core lies in integrating multi-level innovation to form a scalable and anti-fragile economic ecosystem.

Staking algorithm → output ODY

Increase in supply → increase in price

RBS market value stable → RBS buy low, sell high ODY

The treasury obtains USDT → buys ODY and burns 100%

The market is overheated and ODY output is accelerating → EM smart module stops bond issuance

Participant selection→single currency pledge→need to purchase ODY from the LP pool for pledge

More demand/algorithm→RBS market cap module intelligent stable price

Excessive premium → "Ithaca Council" appropriately suppresses

Restore stability → continue to generate strong demand

Returning to the essence of the Odyssey project, why is it a high-speed economic mothership, and what promotes a virtuous cycle?

The core goal of (DeFi 3.0) is to build a positive feedback loop system through technology,

Innovation in mechanisms and governance achieves synergistic improvements in capital efficiency, user growth and protocol security.

***The six core links and operating logic of a virtuous cycle:

a.) Capital Efficiency Flywheel (Depth of Liquidity → Low Slippage → More Users)

b.) Risk hedging closed loop (insurance → safety → trust → more deposits)

c.) Positive feedback from governance (token empowerment → participation → decentralized Odyssey cross-chain)

d.) Network effect (interoperability → user convenience → ecological expansion)

e.) Revenue tiering system (basic revenue + speculative revenue → user retention)

f.) Negentropy mechanism (protocol income → security investment → anti-hacker)

The "Ithaca Council" discovered three essential problems through continuous search for optimal methods. First, how to break the cycle of capital flows in DeFi; second, how to link DeFi to the broader financial system; third, how to clarify the roots of economic value in DeFi? Only by clarifying these issues can decentralized finance not just be a degraded art form, but be elevated to the status of a legitimate, economic production activity.

The model initiated by Odyssey solves some problems to the greatest extent by optimizing traditional finance to resist risk-free value or intrinsic value. Although it takes different forms in decentralized finance.

The basic value basis for constructing a high-speed economic mothership is the sum of internal coordination and external optimism, which can be summarized as:

The staking algorithm (ODY) has significant returns;

Expansive income brought by ODY pledge compound interest;

Sustained and stable development brought about by repurchase and pledge;

Strong ecological support brings confidence to participants;

The triple reflux continuously injects funds into the LP pot to create an internal circulation in the LP pot.

The virtuous cycle brought about by this high-speed economic mothership relies on internal coordination as the main basis of economic productivity, which plays the role of ballast in the specific digital economy. Emphasis is placed on achieving efficient allocation of resources within a closed or semi-closed system through non-market mechanisms (such as administrative instructions, algorithmic regulation, proof of contribution, etc.). Through internal economic coordination, Odyssey has the ability to self-regulate and autonomous market conditions for itself and the entire ecosystem of interdependent, interoperable protocols.

In order to have an adequate theory of economic productivity in the digital economy, we must have a good description and explanation of what the internal coordination of the economy is like economic productivity. And a good explanation of why it's more important than price coordination.

The Odyssey high-speed economical mothership model is a self-adjusting mechanism designed to balance supply

demand relationships and curb uncontrolled fluctuations caused by excessive market speculation. It regulates the increase in supply through a series of steps, causing prices to always be at normal growth and decline levels, and continuously stimulates strong market demand through the ultimate destruction mechanism. When prices return to a controllable level, pledged sales increase, further increasing the inflation rate of return (APY) and attracting more demand and output. This cycle continues to strengthen itself. Through the multi-party collaboration of staking algorithm, output ODY, liquidity ecology, deflation assets, and protection mechanisms, the balance of token supply and demand and price stability are achieved.