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We will study a population of individuals playing the infinitely repeated Prisoner's Dilemma under replicator dynamics. The population consists of three kinds of individuals using the following reactive strategies: ALLD (individuals which…

Populations and Evolution · Quantitative Biology 2015-09-04 Irene Núñez Rodríguez , Armando G. M. Neves

Governments and enterprises strongly rely on incentives to generate favorable outcomes from social and strategic interactions between individuals. The incentives are usually modeled by payoffs in evolutionary games, such as the prisoner's…

Physics and Society · Physics 2018-05-14 Kaj-Kolja Kleineberg , Dirk Helbing

We study the evolutionary dynamics of the prisoner's dilemma game in which cooperators and defectors interact with another actor type called exiters. Rather than being exploited by defectors, exiters exit the game in favour of a small…

Populations and Evolution · Quantitative Biology 2021-01-20 Chen Shen , Marko Jusup , Lei Shi , Zhen Wang , Matjaz Perc , Petter Holme

In a recent Letter [F.C. Santos and J. M. Pacheco Phys. Rev. Lett. \textbf{95}, 098104 (2005)], the scale-free networks are found to be advantageous for the emergence of cooperation. In the present work an evolutionary prisoner's dilemma…

Physics and Society · Physics 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Ying-Hai Wang

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

Wealthy individuals may be less tempted to defect than those with comparatively low payoffs. To take this into consideration, we introduce coevolutionary success-driven multigames in structured populations. While the core game is always the…

Physics and Society · Physics 2014-10-17 Attila Szolnoki , Matjaz Perc

This paper presents research comparing the effects of different environments on the outcome of an extended Prisoner's Dilemma, in which agents have the option to abstain from playing the game. We consider three different pure strategies:…

Computer Science and Game Theory · Computer Science 2016-08-18 Marcos Cardinot , Maud Gibbons , Colm O'Riordan , Josephine Griffith

We consider two-player iterated survival games in which players may switch from a more cooperative behavior to a less cooperative one at some step of the game. Payoffs are survival probabilities and lone individuals have to finish the game…

Populations and Evolution · Quantitative Biology 2021-02-18 Olivier Salagnac , John Wakeley

We studied spatial Prisoner's Dilemma and Stag Hunt games where both the strategy distribution and the players' individual noise level could evolve to reach higher individual payoff. Players are located on the sites of different…

Physics and Society · Physics 2009-11-24 Attila Szolnoki , Jeromos Vukov , Gyorgy Szabo

Population diversity is an important aspect of Prisoner's Dilemma Game (PDG) research. However, the studies on dynamic diversity and its associated cost still need further investigation. Based on a framework comprising 2-dimensional spatial…

Mesoscale and Nanoscale Physics · Physics 2022-06-13 Yandi Liu , Na Guo , Yonghui Li

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

Populations and Evolution · Quantitative Biology 2019-06-19 Qi Su , Lei Zhou , Long Wang

Punishment, especially selfish punishment, has recently been identified as a potent promoter in sustaining or even enhancing the cooperation among unrelated individuals. However, without other key mechanisms, the first-order social dilemma…

Physics and Society · Physics 2014-08-13 Pengbi Cui , Zhi-Xi Wu

A modified spatial prisoner's dilemma game with voluntary participation in Newman-Watts small-world networks is studied. Some reasonable ingredients are introduced to the game evolutionary dynamics: each agent in the network is a pure…

Statistical Mechanics · Physics 2009-11-11 Zhi-Xi Wu , Xin-Jian Xu , Yong chen , Ying-Hai Wang

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

Statistical Mechanics · Physics 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

We study evolutionary games in a spatial diluted grid environment in which agents strategically interact locally but can also opportunistically move to other positions within a given migration radius. Using the imitation of the best rule…

Physics and Society · Physics 2015-06-17 Pierre Buesser , Marco Tomassini , Alberto Antonioni

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

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,…

Computer Science and Game Theory · Computer Science 2021-11-30 Anagh Malik

We study stochastic dynamics of the Prisoner's Dilemma game on random Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert networks with a cost of maintaining a link between interacting players. Stochastic simulations show that when the cost…

Populations and Evolution · Quantitative Biology 2024-02-13 Jacek Miękisz , Javad Mohamadichamgavi , Jakub Łącki

Game theory deals with strategic interactions among players and evolutionary game dynamics tracks the fate of the players' populations under selection. In this paper, we consider the replicator equation for two-player-two-strategy games…

Adaptation and Self-Organizing Systems · Physics 2021-02-22 Sourabh Mittal , Archan Mukhopadhyay , Sagar Chakraborty

The preferential treatment of in-group members is widely observed. This study examines this phenomenon in the domain of cooperation in social dilemmas using evolutionary agent-based models that consider the role of partner selection. The…

Physics and Society · Physics 2024-03-12 Hirofumi Takesue