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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

Extortion strategies can dominate any opponent in an iterated prisoner's dilemma game. But if players are able to adopt the strategies performing better, extortion becomes widespread and evolutionary unstable. It may sometimes act as a…

Physics and Society · Physics 2014-02-17 Attila Szolnoki , Matjaz Perc

Memory-one strategies are a set of Iterated Prisoner's Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This manuscript investigates best response memory-one strategies…

Computer Science and Game Theory · Computer Science 2020-09-30 Nikoleta E. Glynatsi , Vincent A. Knight

Evolutionary game dynamics on networks typically consider the competition among simple strategies such as cooperation and defection in the Prisoner's Dilemma and summarize the effect of population structure as network reciprocity. However,…

Physics and Society · Physics 2024-05-31 Zijie Chen , Yuxin Geng , Xingru Chen , Feng Fu

Recent theory shows that extortioners taking advantage of the zero-determinant (ZD) strategy can unilaterally claim an unfair share of the payoffs in the Iterated Prisoner's Dilemma. It is thus suggested that against a fixed extortioner,…

Physics and Society · Physics 2022-01-13 Xingru Chen , Feng Fu

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

This paper studies the mechanisms, implications, and potential applications of the recently discovered class of Zero Determinant (ZD) strategies in iterated 2x2 games. These strategies were reported to successfully extort pure economic…

Computer Science and Game Theory · Computer Science 2013-08-13 Lars Roemheld

Repeated games have provided an explanation how mutual cooperation can be achieved even if defection is more favorable in a one-shot game in prisoner's dilemma situation. Recently found zero-determinant strategies have substantially been…

Computer Science and Game Theory · Computer Science 2021-05-27 Masahiko Ueda

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

Promoting cooperation is an intellectual challenge in the social sciences, for which the iterated Prisoners' Dilemma (IPD) is a fundamental framework. The traditional view that there exists no simple ultimatum strategy whereby one player…

Physics and Society · Physics 2015-05-12 Bin Xu , Yanran Zhou , Jaimie W. Lien , Jie Zheng , Zhijian Wang

We study the evolution of cooperation in the spatial prisoner's dilemma game, where besides unconditional cooperation and defection, tit-for-tat, win-stay-lose-shift and extortion are the five competing strategies. While pairwise imitation…

Physics and Society · Physics 2014-07-02 Attila Szolnoki , Matjaz Perc

The recent discovery of zero-determinant strategies for the iterated Prisoner's Dilemma sparked a surge of interest in the surprising fact that a player can exert unilateral control over iterated interactions. These remarkable strategies,…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert

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

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

Exploration of mechanisms underlying the emergence of collective cooperation remains a focal point in field of evolution of cooperation. Prevailing studies often neglect historical information, relying on the latest rewards as the primary…

Physics and Society · Physics 2024-02-07 Changyan Di , Jianyue Guan , Qingguo Zhou , Jingqiang Wang , Xiangyang Li

As part of a generalized "prisoners' dilemma", is considered that the evolution of a population with a full set of behavioral strategies limited only by the depth of memory. Each subsequent generation of the population successively loses…

Physics and Society · Physics 2019-12-03 V. M. Kuklin , V. V. Porichansky , A. V. Priymak , V. V. Yanovsky

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

The Prisoner's Dilemma game has a long history stretching across the social, biological, and physical sciences. In 2012, Press and Dyson developed a method for analyzing the mapping of the 8-dimensional strategy profile onto the…

Physics and Society · Physics 2019-11-28 Robert D. Young

Commitments play a crucial role in game theory, shaping strategic interactions by either altering a player's own payoffs or influencing the incentives of others through outcome-contingent payments. While most research has focused on using…

Computer Science and Game Theory · Computer Science 2025-07-30 Maria Alejandra Ramirez , Rosemarie Nagel , David Wolpert , Jürgen Jost

We study the evolution of cooperation in spatial Prisoner's dilemma games with and without extortion by adopting aspiration-driven strategy updating rule. We focus explicitly on how the strategy updating manner (whether synchronous or…

Physics and Society · Physics 2014-12-10 Zhi-Xi Wu , Zhihai Rong
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