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相关论文: The Iterated Prisoner's Dilemma: Good Strategies a…

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In 1980 Steven Smale introduced a class of strategies for the Iterated Prisoner's Dilemma which used as data the running average of the previous payoff pairs. This approach is quite different from the Markov chain approach, common before…

动力系统 · 数学 2017-04-18 Ethan Akin

Repeated game has long been the touchstone model for agents' long-run relationships. Previous results suggest that it is particularly difficult for a repeated game player to exert an autocratic control on the payoffs since they are jointly…

计算机科学与博弈论 · 计算机科学 2018-07-19 Dong Hao , Kai Li , Tao Zhou

The finitely repeated Prisoners' Dilemma is a good illustration of the discrepancy between the strategic behaviour suggested by a game-theoretic analysis and the behaviour often observed among human players, where cooperation is maintained…

种群与进化 · 定量生物学 2013-01-10 Kristian Lindgren , Vilhelm Verendel

Nash equilibria are defined using uncorrelated behavioural or mixed joint probability distributions effectively assuming that players of bounded rationality must discard information to locate equilibria. We propose instead that rational…

适应与自组织系统 · 物理学 2007-05-23 Kae Nemoto , Michael J Gagen

Recent experimental evidence [Gruji\'c et al., PLoS ONE 5, e13749 (2010)] on the spatial Prisoner's Dilemma suggests that players choosing to cooperate or not on the basis of their previous action and the actions of their neighbors coexist…

种群与进化 · 定量生物学 2015-02-18 Jelena Grujić , José A. Cuesta , Angel Sánchez

Game theory provides a quantitative framework for analyzing the behavior of rational agents. The Iterated Prisoner's Dilemma in particular has become a standard model for studying cooperation and cheating, with cooperation often emerging as…

种群与进化 · 定量生物学 2015-06-18 Alexander J. Stewart , Joshua B. Plotkin

We explore some strategies which tend to perform well in the IPD. We start off by showing the significance of Tit-For-Tat strategies in evolutionary game theory. This is followed by a theoretical derivation of zero-determinant strategies,…

计算机科学与博弈论 · 计算机科学 2021-11-30 Anagh Malik

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,…

计算机科学与博弈论 · 计算机科学 2020-09-07 Robert Prentner

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

适应与自组织系统 · 物理学 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

Cooperative behavior, where one individual incurs a cost to help another, is a wide spread phenomenon. Here we study direct reciprocity in the context of the alternating Prisoner's Dilemma. We consider all strategies that can be implemented…

种群与进化 · 定量生物学 2014-03-05 Benjamin M. Zagorsky , Johannes G. Reiter , Krishnendu Chatterjee , Martin A. Nowak

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…

计算机科学与博弈论 · 计算机科学 2018-02-07 Marc Harper , Vincent Knight , Martin Jones , Georgios Koutsovoulos , Nikoleta E. Glynatsi , Owen Campbell

Under the assumption of complete rationality, Nash equilibrium is the only reasonable strategy (set) of the finitely repeated prisoner's dilemma. In fact, some strategies only slightly deviate from the so-called rationality, and the…

计算机科学与博弈论 · 计算机科学 2014-01-09 Xuegong Deng

We analyze an extended model of the Iterated Prisoner's Dilemma where agents decide to play based on the data from their limited memory or recommendations. The cooperators can decide whether to play with the matched opponent or not. The…

计算机科学与博弈论 · 计算机科学 2022-09-15 Orhun Gorkem , Haluk O. Bingol

This paper addresses a mathematically tractable model of the Prisoner's Dilemma using the framework of active inference. In this work, we design pairs of Bayesian agents that are tracking the joint game state of their and their opponent's…

物理与社会 · 物理学 2023-08-31 Daphne Demekas , Conor Heins , Brennan Klein

Here we study the effects of adopting different strategies against different opponent instead of adopting the same strategy against all of them in the prisoner dilemma structured in well-mixed populations. We consider an evolutionary…

物理与社会 · 物理学 2015-05-14 Lucas Wardil , Jafferson K. L. da Silva

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

理论经济学 · 经济学 2020-06-30 Yuval Heller , Erik Mohlin

While many theoretical studies have revealed the strategies that could lead to and maintain cooperation in the Iterated Prisoner's Dilemma, less is known about what human participants actually do in this game and how strategies change when…

计算机科学与博弈论 · 计算机科学 2024-03-12 Eladio Montero-Porras , Jelena Grujic , Elias Fernandez-Domingos , Tom Lenaerts

We consider a nonzero-sum N-player Markov game on an abstract measurable state space with compact metric action spaces. The payoff functions are bounded Carath\'eodory functions and the transitions of the system are assumed to have a…

最优化与控制 · 数学 2023-05-09 François Dufour , Tomás Prieto-Rumeau

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

最优化与控制 · 数学 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

This paper investigates Nash equilibria in pure strategies for quantum approach to the Prisoner's Dilemma. The quantization process involves extending the classical game by introducing two additional unitary strategies. We consider five…

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