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We have proposed two new evolutionary rules on spatio-iterated games that is not mimic evolution of strategies, and mainly discussed the Prisoner's Dilemma game \cite{toyota2} by the two evoutionary rules \cite{toyota3}. In this paper we…

Chaotic Dynamics · Physics 2007-05-23 Norihito Toyota

Evolutionary game theory, encompassing discrete, continuous, and mixed strategies, is pivotal for understanding cooperation dynamics. Discrete strategies involve deterministic actions with a fixed probability of one, whereas continuous…

Populations and Evolution · Quantitative Biology 2024-09-13 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto

An open problem in evolutionary game dynamics is to understand the effect of peer pressure on cooperation in a quantitative manner. Peer pressure can be modeled by punishment, which has been proved to be an effective mechanism to sustain…

Physics and Society · Physics 2015-09-23 Han-Xin Yang , Zhi-Xi Wu , Zhihai Rong , Ying-Cheng Lai

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

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

The effects of payoffs and noise on the maintenance of cooperative behavior are studied in an evolutionary Prisoner's Dilemma game with players located on the sites of different two-dimensional lattices. This system exhibits a phase…

Statistical Mechanics · Physics 2009-11-11 Gyorgy Szabo , Jeromos Vukov , Attila Szolnoki

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…

Populations and Evolution · Quantitative Biology 2015-06-18 Alexander J. Stewart , Joshua B. Plotkin

The Prisoner's Dilemma (PD) is one of the most popular games of the Game Theory due to the emergence of cooperation among competitive rational players. In this paper, we present the PD played in cells of one-dimension cellular automata,…

Physics and Society · Physics 2008-03-13 Marcelo Alves Pereira , Alexandre Souto Martinez , Aquino Lauri Espindola

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

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

Cooperative behavior lies at the very basis of human societies, yet its evolutionary origin remains a key unsolved puzzle. Whereas reciprocity or conditional cooperation is one of the most prominent mechanisms proposed to explain the…

Physics and Society · Physics 2016-03-22 Giulio Cimini , Angel Sánchez

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 investigate the spatial distribution and the global frequency of agents who can either cooperate or defect. The agent interaction is described by a deterministic, non-iterated prisoner's dilemma game, further each agent only locally…

Statistical Mechanics · Physics 2007-05-23 Frank Schweitzer , Laxmidhar Behera , Heinz Muehlenbein

We use replicator dynamics to study an iterated prisoners' dilemma game with memory. In this study, we investigate the characteristics of all 32 possible strategies with a single-step memory by observing the results when each strategy…

Physics and Society · Physics 2014-03-06 Young Jin Kim , Myungkyoon Roh , Seung-Woo Son

In this article we discuss network growth based on Prisoner's Dilemma(PD) where palyers on nodes in a network palay with its linked players. The players estimate total profits in the PD. When a new node is attached, the node make linkes to…

Physics and Society · Physics 2009-09-29 Norihito Toyota

The world in which we are living is a huge network of networks and should be described by interdependent networks. The interdependence between networks significantly affects the evolutionary dynamics of cooperation on them. Meanwhile, due…

Physics and Society · Physics 2015-06-19 Baokui Wang , Zhenhua Pei , Long Wang

Cooperation within asymmetric populations has garnered significant attention in evolutionary games. This paper explores cooperation evolution in populations with weak and strong players, using a game model where players choose between…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Hao Guo , Chen Shen , Rongcheng Zou , Pin Tao , Yuanchun Shi , Zhen Wang , Junliang Xing

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

Computer Science and Game Theory · Computer Science 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

Understanding the role of network structure in the evolution of cooperation is a key research goal at the intersection between physics and biology. Recent studies have particularly focused on multiplex networks given that multiple social…

Physics and Society · Physics 2020-07-27 Hirofumi Takesue

We have studied an evolutionary prisoner's dilemma game with players located on two types of random regular graphs with a degree of 4. The analysis is focused on the effects of payoffs and noise (temperature) on the maintenance of…

Statistical Mechanics · Physics 2009-11-11 Jeromos Vukov , György Szabó , Attila Szolnoki
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