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We have studied the impact of time-dependent learning capacities of players in the framework of spatial prisoner's dilemma game. In our model, this capacity of players may decrease or increase in time after strategy adoption according to a…

Physics and Society · Physics 2010-09-21 Attila Szolnoki , Zhen Wang , Jinlong Wang , Xiaodan Zhu

This paper is concerned with the death-birth updating process. This model is an example of a spatial game in which players located on the~$d$-dimensional integer lattice are characterized by one of two possible strategies and update their…

Probability · Mathematics 2015-06-25 Stephen Evilsizor , Nicolas Lanchier

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…

Populations and Evolution · Quantitative Biology 2013-01-10 Kristian Lindgren , Vilhelm Verendel

This paper explores the Coevolutionary Optional Prisoner's Dilemma (COPD) game, which is a simple model to coevolve game strategy and link weights of agents playing the Optional Prisoner's Dilemma game. We consider a population of agents…

Computer Science and Game Theory · Computer Science 2018-11-27 Marcos Cardinot , Colm O'Riordan , Josephine Griffith

Most papers about the evolutionary game on graph assume the statistic network structure. However, social interaction could change the relationship of people. And the changing social structure will affect the people's strategy too. We build…

Physics and Society · Physics 2009-09-30 Shao-Meng Qin , Guo-Yong Zhang , Yong Chen

We study a model of a spatial evolutionary game, based on the Prisoner's dilemma for two regular arrangements of players, on a square lattice and on a triangular lattice. We analyze steady state distributions of players which evolve from…

Physics and Society · Physics 2020-01-08 Evgeni Burovski , Aleksandr Malyutin , Lev Shchur

We focus on the heterogeneity of social networks and its role to the emergence of prevailing cooperation and sustaining cooperators. The social networks are representative of the interaction relationships between players and their…

Dynamical Systems · Mathematics 2009-11-11 Feng Fu , Lianghuan Liu , Long Wang

The Prisoner's Dilemma, a 2-person game in which the players can either cooperate or defect, is a common paradigm for studying the evolution of cooperation, when individuals exhibit variable degrees of cooperation. It is known that in the…

Populations and Evolution · Quantitative Biology 2014-03-12 Margarita Ifti , Timothy Killingback , Michael Doebeli

In society, mutual cooperation, defection, and asymmetric exploitative relationships are common. Whereas cooperation and defection are studied extensively in the literature on game theory, asymmetric exploitative relationships between…

Optimization and Control · Mathematics 2019-11-13 Yuma Fujimoto , Kunihiko Kaneko

According to the standard imitation protocol, a less successful player adopts the strategy of the more successful one faithfully for future success. This is the cornerstone of evolutionary game theory that explores the vitality of competing…

Physics and Society · Physics 2019-09-27 Attila Szolnoki , Xiaojie Chen

We study the evolution of cooperation in the prisoner's dilemma game, whereby a coevolutionary rule is introduced that molds the random topology of the interaction network in two ways. First, existing links are deleted whenever a player…

Physics and Society · Physics 2009-09-25 Attila Szolnoki , Matjaz Perc

In the evolutionary Prisoner's Dilemma (PD) game, agents play with each other and update their strategies in every generation according to some microscopic dynamical rule. In its spatial version, agents do not play with every other but,…

Populations and Evolution · Quantitative Biology 2009-03-08 Luis G. Moyano , Angel Sánchez

The Prisoner's Dilemma Process on a graph $G$ is an iterative process where each vertex, with a fixed strategy (cooperate or defect), plays the game with each of its neighbours. At the end of a round each vertex may change its strategy to…

Discrete Mathematics · Computer Science 2017-11-22 Christopher Duffy , Jeannette Janssen

We study the evolution of behavior under reinforcement learning in a Prisoner's Dilemma where agents interact in a regular network and can learn about whether they play one-shot or repeatedly by incurring a cost of deliberation. With…

Physics and Society · Physics 2024-03-28 Rossana Mastrandrea , Leonardo Boncinelli , Ennio Bilancini

In many cases the Nash equilibria are not predictive of the experimental players' behaviour. For some games of Game Theory it is proposed here a method to estimate the probabilities with which the different options will be actually chosen…

Optimization and Control · Mathematics 2014-04-10 Cesco Reale

Commitment is a well-established mechanism for fostering cooperation in human society and multi-agent systems. However, existing research has predominantly focused on the commitment that neglects the freedom of players to abstain from an…

Computer Science and Game Theory · Computer Science 2025-08-12 Zhao Song , The Anh Han

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

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

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 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