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The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

计算机科学与博弈论 · 计算机科学 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

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…

动力系统 · 数学 2017-04-27 Ethan Akin

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,…

种群与进化 · 定量生物学 2016-04-12 Alex McAvoy , Christoph Hauert

The n-person Prisoner's Dilemma is a widely used model for populations where individuals interact in groups. The evolutionary stability of populations has been analysed in the literature for the case where mutations in the population may be…

种群与进化 · 定量生物学 2007-05-23 Anders Eriksson , Kristian Lindgren

The best-response dynamics is an example of an evolutionary game where players update their strategy in order to maximize their payoff. The main objective of this paper is to study a stochastic spatial version of this game based on the…

概率论 · 数学 2014-07-28 Stephen Evilsizor , Nicolas Lanchier

In social dilemmas self-interested learning agents face the choice between the societal benefit of cooperation and the immediate reward of defection. Significant evidence exists on the benefits of assortment mechanisms such as partner…

多智能体系统 · 计算机科学 2026-05-19 Benedict Russell , Chin-wing Leung , Paolo Turrini

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

We introduce the stochastic Network-Iterated Prisoner's Dilemma (NIPD) model, a network of players playing the Prisoner's Dilemma with their neighbours, each with a memory-one strategy which they constantly and locally update to improve…

物理与社会 · 物理学 2022-11-30 Martín Soto Quintanilla

In spatial evolutionary games the fitness of each individual is traditionally determined by the payoffs it obtains upon playing the game with its neighbors. Since defection yields the highest individual benefits, the outlook for cooperators…

种群与进化 · 定量生物学 2011-04-04 Zhen Wang , Aleksandra Murks , Wen-Bo Du , Zhi-Hai Rong , Matjaz Perc

We consider a stochastic model for evolution of group-structured populations in which interactions between group members correspond to the Prisoner's Dilemma or the Hawk-Dove game. Selection operates at two organization levels: individuals…

种群与进化 · 定量生物学 2019-04-12 Daniel B. Cooney

An active participation of players in evolutionary games depends on several factors, ranging from personal stakes to the properties of the interaction network. Diverse activity patterns thus have to be taken into account when studying the…

物理与社会 · 物理学 2017-01-25 Alberto Aleta , Sandro Meloni , Matjaz Perc , Yamir Moreno

We consider a version of the ultimatum game which simultaneously combines reactive and Darwinian aspects with offers in [0,1]. By reactive aspects, we consider the effects that lead the player to change their offer given the previous…

物理与社会 · 物理学 2019-10-02 Roberto da Silva , Pablo Valverde , Luis C. Lamb

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…

物理与社会 · 物理学 2019-11-28 Robert D. Young

We address the problem of how the survival of cooperation in a social system depends on the motion of the individuals. Specifically, we study a model in which Prisoner's Dilemma players are allowed to move in a two-dimensional plane. Our…

物理与社会 · 物理学 2015-05-13 S. Meloni , A. Buscarino , L. Fortuna , M. Frasca , J. Gomez-Gardenes , V. Latora , Y. Moreno

Cooperation underlies many natural and artificial systems. While voluntary participation can sustain cooperation without informational assumptions, real interactions are rarely anonymous, leaving the joint effects of participation and…

物理与社会 · 物理学 2026-01-27 Chen Shen , Zhao Song , Xinyu Wang , Lei Shi , Matjaž Perc , Zhen Wang , Jun Tanimoto

Introducing strategy complexity into the basic conflict of cooperation and defection is a natural response to avoid the tragedy of the common state. As an intermediate approach, quasi-cooperators were recently suggested to address the…

物理与社会 · 物理学 2024-04-24 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

We introduce nonlinear attractive effects into a spatial Prisoner's Dilemma game where the players located on a square lattice can either cooperate with their nearest neighbors or defect. In every generation, each player updates its…

物理与社会 · 物理学 2007-05-23 Jian-Yue Guan , Zhi-Xi Wu , Zi-Gang Huang , Xin-Jian Xu , Ying-Hai Wang

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…

种群与进化 · 定量生物学 2013-12-30 Alexander J. Stewart , Joshua B. Plotkin

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

适应与自组织系统 · 物理学 2015-06-26 Juergen Jost , Wei Li

Higher-order interactions are prevalent in real-world complex systems and exert unique influences on system evolution that cannot be captured by pairwise interactions. We incorporate game transitions into the higher-order prisoner's dilemma…

适应与自组织系统 · 物理学 2025-06-25 Yi-Duo Chen , Zhi-Xi Wu , Jian-Yue Guan
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