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Prisoner's Dilemma

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May 1, 2024 3 minute read

The Prisoner’s Dilemma is a classic game theory scenario that explores the tension between individual and collective rationality. It is a non-cooperative game with two players, each of whom must choose between cooperating or defecting. The dilemma arises because the best outcome for each individual player is to defect, even though the best outcome for both players together is to cooperate.

Understanding the Prisoner's Dilemma

To illustrate the Prisoner’s Dilemma, consider the following scenario: Two suspects, A and B, are arrested for a crime and held in separate cells. The prosecutor lacks enough evidence to convict them both, so he offers each suspect a deal. If both A and B confess (defect), they will each receive a 3-year sentence. If one confesses (defects) and the other does not (cooperates), the confessor will go free while the other will receive a 10-year sentence. If neither confesses (both cooperate), they will each receive a 2-year sentence.

Logically, it would seem that A and B should both cooperate, as this would result in the best combined outcome for them. However, each individual prisoner is incentivized to defect, regardless of what the other prisoner does. If one prisoner defects, the other prisoner is better off defecting as well, as they can either receive a reduced sentence or go free. On the other hand, if one prisoner cooperates, the other prisoner is still better off defecting, as they can go free while the cooperating prisoner receives a 10-year sentence.

Applications of the Prisoner's Dilemma

The Prisoner’s Dilemma has applications in various fields, including:

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Reading list

We've selected 12 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Prisoner's Dilemma.
Classic work on the Prisoner's Dilemma, a game theory model of conflict and cooperation. It provides a detailed analysis of the game, including its implications for real-world situations such as arms races and nuclear deterrence.
Provides a comprehensive overview of game theory, with a particular focus on the Prisoner's Dilemma. It well-written and accessible introduction to the subject.
Classic work on the theory of conflict. It uses the Prisoner's Dilemma as a model to show how rational actors can make decisions that lead to suboptimal outcomes.
Applies game theory to a variety of real-world situations, including business, politics, and personal relationships. It provides practical advice on how to make better decisions and achieve success.
Classic work on negotiation. It provides a comprehensive overview of the subject, with a particular focus on the Prisoner's Dilemma. It valuable resource for anyone who wants to learn how to negotiate more effectively.
Explores the evolution of cooperation in biological systems. It uses the Prisoner's Dilemma as a model to show how cooperation can evolve and persist even in situations where it is not always the most rational choice.
Introduces the concept of complex adaptive systems, which are systems that are composed of many interacting agents. It uses the Prisoner's Dilemma as a model to show how complex adaptive systems can exhibit emergent behavior.
Explores the evolution of cooperation in biological and social systems. It uses the Prisoner's Dilemma as a model to show how cooperation can arise and persist even in situations where it is not always the most rational choice.
Provides a comprehensive overview of game theory. It includes a discussion of the Prisoner's Dilemma, as well as other important game theory concepts.
Explores the history and theory of cooperation. It uses the Prisoner's Dilemma as a model to show how cooperation can evolve and persist even in situations where it is not always the most rational choice.
Popular account of the Prisoner's Dilemma. It provides a clear and concise explanation of the game, as well as its implications for real-world situations.
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