While game theory can provide interesting insights into the Talmudic discussions, the primary intent of these ancient texts was not to present formal game-theoretic analyses. Instead, they primarily focused on legal, ethical, and spiritual matters, but contemporary scholars have found parallels and connections between Talmudic discussions and concepts in game theory.


Examples of the application of game theory in the Talmud:

Dispute Resolution: The Talmud contains numerous discussions and debates on legal matters and ethical dilemmas. These discussions often involve different opinions and viewpoints presented by scholars. Game theory can be applied to analyze these debates as strategic interactions between different players, each trying to maximize their desired outcome while considering the actions of others.

Decision-Making: The Talmudic discussions frequently involve scenarios where individuals need to make choices that can affect not only themselves but also others in the community. Game theory can provide insights into the decision-making process, considering factors like cooperation, competition, and possible consequences.

Negotiations and Contracts: In the Talmud, there are instances where individuals enter into agreements, negotiate deals, or resolve disputes over resources or property. Game theory can be used to model these situations as strategic games, where parties try to reach mutually beneficial outcomes while protecting their interests.

Trolley Problem-like Scenarios: The Talmud explores ethical dilemmas and thought experiments similar to the classic philosophical "Trolley Problem." These scenarios involve complex moral decisions, and game theory can offer a framework for understanding the trade-offs and reasoning behind different choices.

Rabbinic Debate and Consensus: The Talmud includes records of debates among rabbis and the formation of Halakhic (Jewish legal) decisions. Game theory can shed light on how these debates may have played out as interactions between decision-makers, leading to consensus or compromise.


From a game theory perspective, Satoshi Nakamoto also devised a version of the "Game". Several theorems from game theory are applicable to Bitcoin and its ecosystem. Here are some examples:

1. Mining and Blockchain

Nash Equilibrium: The Nash equilibrium is a central concept in game theory where no player can improve their position by unilaterally changing their strategy. In the context of Bitcoin, this could apply to the equilibrium reached between miners when they decide on their mining strategies to maximize their profits.

Prisoner's Dilemma: The Prisoner's Dilemma is a classic game theory scenario that involves two players making decisions that may not lead to the best overall outcome. In Bitcoin, a similar dilemma arises when miners must decide whether to cooperate in mining pools or act independently for potentially higher rewards.

Tragedy of the Commons: This concept is relevant to Bitcoin's block size debate. The Tragedy of the Commons occurs when individuals, acting in their self-interest, deplete shared resources to the detriment of the entire community. In the case of Bitcoin, larger block sizes might lead to more transaction throughput but can strain the network and decentralization.

Game of Chicken: The Game of Chicken refers to a situation where two players engage in a risky confrontation, and the player who swerves first loses. In the context of Bitcoin's development and potential forks, it can relate to the situation where multiple parties hold different opinions, leading to potential chain splits.

Stag Hunt: The Stag Hunt game represents a scenario where players must choose between cooperation for a high-value reward (hunting a stag) or acting alone for a smaller but more certain reward (hunting a hare). In Bitcoin, this can relate to the choice between scaling solutions that prioritize decentralization (Stag) versus faster transaction speeds (Hare).

2. Trading and Market

Zero-Sum Games: Bitcoin trading can be viewed as a zero-sum game, where the gains of one trader come at the expense of losses for other traders. The total value of Bitcoin remains constant, and traders aim to profit from fluctuations in its price.

Prisoner's Dilemma: The Prisoner's Dilemma can apply to situations in Bitcoin trading where two traders must make decisions about buying or selling without knowing the other's strategy. Both traders may try to maximize their profits, but this can lead to suboptimal outcomes for both if they do not cooperate.

Nash Equilibrium: The concept of Nash Equilibrium is relevant in the context of Bitcoin trading strategies. Traders aim to find equilibrium points where their chosen strategies are the best responses to the strategies of other traders, leading to stable market conditions.

Game of Chicken: The Game of Chicken is applicable to scenarios in Bitcoin trading where traders take risks in the hope that others will back down. For example, when one trader holds a large position and others may hesitate to enter the market, fearing potential price swings.

Stag Hunt: The Stag Hunt game can be related to Bitcoin trading decisions. Traders must choose between cooperating and collectively driving the price higher (hunting a stag) or acting individually to secure smaller, safer profits (hunting a hare).

Battle of the Sexes: This game theory scenario can apply to situations in the Bitcoin market, where different groups of traders have conflicting opinions on the future price direction. This can lead to uncertainty and volatile price movements.

Bertrand Competition: Bertrand competition can be seen in Bitcoin exchanges where multiple platforms compete by setting their exchange rates. This competition may lead to price wars and the drive for exchanges to offer the most attractive rates.

Market Manipulation: Game theory concepts can help analyze potential market manipulation scenarios in Bitcoin trading, where some traders may attempt to influence prices for their advantage.


Indeed, rules and strategies derived from game theory principles can be applied in various aspects of life, including the Bitcoin space. As people continue to explore and understand the Bitcoin, they can develop new strategies and best practices based on these principles. The idea of conceptualizing these rules in the form of a "Bitcoin Talmud" to provide guidance and education for newcomers is an interesting concept, although it is essential to recognize that such a document would be a creative and unofficial endeavor. My personal contribution to this set of strategies and rules could become a mathematical justification for the optimal position size in Bitcoin for long-term Bitcoin holders, which is 2.625 Bitcoins. However, if someone proposes a better mathematical rationale that refutes mine, I would gladly accept it.

A 2033
B 2044
C 2055
D Never

discuss

Я считаю, что оптимальной ставкой была бы покупка 2.625 Bitcoin. Впрочем ставка в 2 Bitcoin тоже неплоха. Как вы думаете, почему Роберт Кеннеди младший купил каждому из своих семи детей именно 2 Bitcoin, а не 1 или 3?

The optimal bet would be to buy 2.625 bitcoins. However, a bet of 2 bitcoins is not bad either. Why do you think Robert Kennedy Jr. bought each child exactly 2 bitcoins, not 1 or 3?

Так как я не люблю перегружать чаты формулами. Давайте рассмотрим простой пример.

Задача о трех вдовах из Талмуда. Решение этой задачи было известно древним евреям несколько тысяч лет. Несколько тысяч лет это решение воспринималось как религиозная догма.
Математически же эта задача была доказана лишь в 1980-х годах.

Собственно вопрос заключается вот в чем. Предложенное решение задачи в Талмуде является религией или стратегией?

https://www.youtube.com/watch?v=CNXdD8Yjo2E

Just joined BitcoinTalk forum and I must say, I'm quite surprised to see that it has turned into a place where 50% of the forum active members are promoting Bitcoin mixers, betting or casinos. Was hoping for more discussions on the technology and its possibilities.

"Starting with 60-40 equity-bond portfolio, which is produced with a risk aversion of gamma=1.5, the optimal BTC allocation is a large 84.9%"

My calculations show that the optimal bet in Bitcoin is still an absolute value of 2.625 Bitcoin, as it allows for sufficient decentralization of the supply among approximately eight million holders (Top 0.1%). After all, the value of Bitcoin as an asset lies precisely in the decentralization of its supply. A simple thought experiment can show that if Satoshi had kept all 21 million Bitcoins to himself and never shared this idea with anyone, the value of Bitcoin would be zero.

discuss

If Bitcoin were to replace the current global financial system and achieve widespread adoption as a decentralized and reliable store of value, some enthusiasts might see Michael Saylor as a visionary or a pivotal figure. Similar to how Peter and Paul played crucial roles in spreading the teachings of Christianity, Saylor's active promotion and strategic investment in Bitcoin could be viewed as instrumental in driving its adoption.

The analogy suggests that just as the apostles were significant in the establishment and spread of Christianity, Saylor's dedication to advocating for Bitcoin and integrating it into his business strategies could be perceived as foundational for a potential future financial paradigm.

discuss

Куда я могу запостить эту тему на русском?

https://bitcointalk.org/index.php?topic=5460756.0

If in the world there are about 8 million people, each of whom will accumulate 2.625 Bitcoins in a cold wallet and never sell them, then the price of Bitcoin could skyrocket to infinity. These individuals, who have gone through natural selection and acquired 2.625 Bitcoins on the market, could unite, for example, in a religious Order, and gain the chance to change the world order. This trend is already emerging today. Pay attention to how more and more politicians and officials from different countries are being influenced by the idea of Bitcoin and becoming holders themselves.

You must understand that all liquidations of your margin positions, all losses in the market on shitcoins – these are necessary dues to become a plebeian. Then you must work diligently to accumulate 2.625 Bitcoins on the market, whatever the cost may be. When an army of approximately 8 million plebeians is assembled, you will always begin to win. By uniting in an army or an Order and following a common strategy and purpose, the plebeians' education, work experience, skills, religion, personal qualities, etc., will no longer matter. Only in this way can you defeat the selected elite with higher IQ, better education, more work experience, superior connections, and more capital than you... And you have no other choice; either join the army of plebeians or you and all your future generations will be slaves... Even if you change your names and surnames to the right ones, you will never be admitted to Yale, MIT, Berkeley, or Stanford, believe me. Our army of approximately 8 million plebeians will be invincible. Because you can't kill what is already dead.

Если в Мире найдется порядка 8 миллионов человек каждый из которых выведет на холодный кошелек 2.625 Bitcoin и никогда не будет продавать, то цена Биткоин может  устремиться к бесконечности. Эти люди, прошедшие естественный отбор и завладевшие на рынке 2.625 Bitcoin, обьединившись допустим в религиозный Орден получат шанс изменить мировой порядок. Эта тенденция просматривается уже сегодня. Обратите внимание на то, как все больше и больше политиков и чиновников разных стран заражаются идеей Bitcoin и становятся его держателями.

Вы должны понять, что все ликвидации ваших маржинальных позиций, все потери на рынке на шиткоинах - это необходимая плата за то, чтобы стать плебеем. Затем вы должны усердно работать чтобы завладеть на рынке 2.625 Bitcoin - чего бы это вам не стоило. Когда соберется армия из примерно 8 миллионов плебеев, то вы начнете всегда выигрывать. Объединившись в армию или Орден и следуя единой стратегии и общему замыслу для плебеев не будет важно их образование, опыт работы, навыки, религия, личные качества, etc. Только так вы сможете победть отборную шпану с IQ вышем чем у вас, образованием лучше чем у вас, опытом работы лучше чем у вас, связями лучше чем у вас, с капиталом больше чем у вас... А другого выбора вас и нет, либо вступить в армию плебеев либо вы и все ваши будущие поколения будут рабами... даже если вы смените имена и фамилии на правильные, но ни в Yale ни в MIT ни в Berkeley ни в Stanford вы никогда не поступите, поверьте мне наслово. Наша армия из примерно 8 миллионов плебеев будет непобедима. Ибо ничто не может убить то, что уже мертво.

У меня была деловая встреча в Москве еще до войны. Меня вез в Домодедово таксист. Проезжая мимо посольства США он резко высунул руку из окна и с выпучеными глазами тыкая на посольство США в Москве чуть не крикнул: "Смотрите, это обитель зла!"

Контекст
- везет он меня в Ford Focus
- у него личный телефон старенький iPhone
- одет в кроссовки и кофту Nike
- мы заехали перекусить в McDonalds, причем это было его предожение (дорога из центра в Домодедово 3 часа)
- с удовольствим принял от меня $50 американских долларов за дорогу

Где логика у этих людей?

Схема работы А-book брокера предполагает, что ваши сделки не арбитражируют на биржу. Тоесть ваша прибыль - является убытком брокера. Ваш убыток - является прибылью брокера.
Так работают большинство современных бирж. Так зачем же вы там играете?