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Related papers: Strategies for the Iterated Prisoner's Dilemma

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Researchers have explored the performance of Iterated Prisoner's Dilemma strategies for decades, from the celebrated performance of Tit for Tat to the introduction of the zero-determinant strategies and the use of sophisticated learning…

Computer Science and Game Theory · Computer Science 2024-01-25 Nikoleta E. Glynatsi , Vincent Knight , Marc Harper

Iterated Prisoner's Dilemma(IPD) is a well-known benchmark for studying the long term behaviors of rational agents, such as how cooperation can emerge among selfish and unrelated agents that need to co-exist over long term. Many well-known…

Computer Science and Game Theory · Computer Science 2017-12-19 Shiheng Wang , Fangzhen Lin

Recent work has revealed a new class of "zero-determinant" (ZD) strategies for iterated, two-player games. ZD strategies allow a player to unilaterally enforce a linear relationship between her score and her opponent's score, and thus…

Populations and Evolution · Quantitative Biology 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin

Ever since Axelrod's seminal work, tournaments served as the main benchmark for evaluating strategies in the Iterated Prisoner's Dilemma (IPD). In this work, we first introduce a strategy for the IPD which outperforms previous tournament…

Computer Science and Game Theory · Computer Science 2023-03-08 Adrian Hutter

The observed cooperation on the level of genes, cells, tissues, and individuals has been the object of intense study by evolutionary biologists, mainly because cooperation often flourishes in biological systems in apparent contradiction to…

Populations and Evolution · Quantitative Biology 2010-10-21 Dimitris Iliopoulos , Arend Hintze , Christoph Adami

We present tournament results and several powerful strategies for the Iterated Prisoner's Dilemma created using reinforcement learning techniques (evolutionary and particle swarm algorithms). These strategies are trained to perform well…

Computer Science and Game Theory · Computer Science 2018-02-07 Marc Harper , Vincent Knight , Martin Jones , Georgios Koutsovoulos , Nikoleta E. Glynatsi , Owen Campbell

For the iterated Prisoner's Dilemma, there exist Markov strategies which solve the problem when we restrict attention to the long term average payoff. When used by both players these assure the cooperative payoff for each of them. Neither…

Dynamical Systems · Mathematics 2017-04-27 Ethan Akin

We seek a route to the equilibrium where all the agents cooperate in the iterated prisoner's dilemma game on a two-dimensional plane, focusing on the role of tit-for-tat strategy. When a time horizon, within which a strategy can recall the…

Populations and Evolution · Quantitative Biology 2008-07-30 Seung Ki Baek , Beom Jun Kim

Recently, Press and Dyson have proposed a new class of probabilistic and conditional strategies for the two-player iterated Prisoner's Dilemma, so-called zero-determinant strategies. A player adopting zero-determinant strategies is able to…

Computer Science and Game Theory · Computer Science 2014-02-17 Liming Pan , Dong Hao , Zhihai Rong , Tao Zhou

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

We introduce the concept of deformed zero-determinant strategies in repeated games. We then show that the Tit-for-Tat strategy in the repeated prisoner's dilemma game is a deformed zero-determinant strategy, which unilaterally equalizes the…

Combinatorics · Mathematics 2021-01-28 Masahiko Ueda

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

Populations and Evolution · Quantitative Biology 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

Since Press and Dyson's ingenious discovery of ZD (zero-determinant) strategy in the repeated Prisoner's Dilemma game, several studies have confirmed the existence of ZD strategy in repeated multiplayer social dilemmas. However, few…

Populations and Evolution · Quantitative Biology 2021-09-15 Fang Chen , Te Wu , Long Wang

Evolutionary game theory provides a mathematical foundation for cross-disciplinary fertilization, especially for integrating ideas from artificial intelligence and game theory. Such integration offers a transparent and rigorous approach to…

Physics and Society · Physics 2023-05-31 Xingru Chen , Feng Fu

Strategies incorporating direct reciprocity, e.g., Tit-for-Tat and Pavlov, have been shown to be successful for playing the Iterated Prisoners Dilemma (IPD), a paradigmatic problem for studying the evolution of cooperation among non-kin…

Physics and Society · Physics 2016-09-29 V. Sasidevan , Sitabhra Sinha

As an important psychological and social experiment, the Iterated Prisoner's Dilemma (IPD) treats the choice to cooperate or defect as an atomic action. We propose to study the behaviors of online learning algorithms in the Iterated…

Computer Science and Game Theory · Computer Science 2022-08-30 Baihan Lin , Djallel Bouneffouf , Guillermo Cecchi

Repeated games are a framework for investigating long-term interdependence of multi-agent systems. In repeated games, zero-determinant (ZD) strategies attract much attention in evolutionary game theory, since they can unilaterally control…

Physics and Society · Physics 2026-03-23 Ken Nakamura , Masahiko Ueda

Pavlov, a well-known strategy in game theory, has been shown to have some advantages in the Iterated Prisoner's Dilemma (IPD) game. However, this strategy can be exploited by inveterate defectors. We modify this strategy to mitigate the…

Computer Science and Game Theory · Computer Science 2011-02-21 Martin Dyer , Velumailum Mohanaraj

Self-serving, rational agents sometimes cooperate to their mutual benefit. The two-player iterated prisoner's dilemma game is a model for including the emergence of cooperation. It is generally believed that there is no simple ultimatum…

Computer Science and Game Theory · Computer Science 2024-11-08 Jin-Li Guo

Are Large Language Models (LLMs) a new form of strategic intelligence, able to reason about goals in competitive settings? We present compelling supporting evidence. The Iterated Prisoner's Dilemma (IPD) has long served as a model for…

Artificial Intelligence · Computer Science 2025-07-04 Kenneth Payne , Baptiste Alloui-Cros
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