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Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

种群与进化 · 定量生物学 2011-03-29 M. I. Shehata

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…

物理与社会 · 物理学 2019-09-27 Attila Szolnoki , Xiaojie Chen

Strategy changes are an essential part of evolutionary games. Here we introduce a simple rule that, depending on the value of a single parameter $w$, influences the selection of players that are considered as potential sources of the new…

物理与社会 · 物理学 2010-08-16 Zhen Wang , Matjaz Perc

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to research how cooperation arises. The…

物理与社会 · 物理学 2018-10-23 Norihito Toyota

Pavlov, a well-known strategy in game theory, has been shown to have some advantages in the Iterated Prisoner's Dilemma (IPD) game. However, this strategy can be exploited by inveterate defectors. We modify this strategy to mitigate the…

计算机科学与博弈论 · 计算机科学 2011-02-21 Martin Dyer , Velumailum Mohanaraj

Evolutionary game theory provides a mathematical foundation for cross-disciplinary fertilization, especially for integrating ideas from artificial intelligence and game theory. Such integration offers a transparent and rigorous approach to…

物理与社会 · 物理学 2023-05-31 Xingru Chen , Feng Fu

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

适应与自组织系统 · 物理学 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

We considered a three-strategy game with the characteristics of the prisoner's dilemma and stag hunt games. This game was inspired by recent experimental studies that elucidated the role of individual solutions. People who adopt individual…

种群与进化 · 定量生物学 2025-02-11 Hirofumi Takesue

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

核理论 · 物理学 2009-10-28 Zhen Cao , Rudolph C. Hwa

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

物理与社会 · 物理学 2024-06-03 José F. Fontanari

The lowest temptation level (T = 1) is considered a trivial case for the Prisoner's Dilemma. Here, we show that this statement is true only for a very particular case, where the players interact with only one player. Otherwise, if the…

物理与社会 · 物理学 2009-04-06 Marcelo Alves Pereira , Alexandre Souto Martinez

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

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

种群与进化 · 定量生物学 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

We study the combined influence of selection and random fluctuations on the evolutionary dynamics of two-strategy ("cooperation" and "defection") games in populations comprising cooperation facilitators. The latter are individuals that…

种群与进化 · 定量生物学 2013-11-13 Mauro Mobilia

The evolution of cooperation has been a perennial problem for evolutionary biology because cooperation is undermined by selfish cheaters (or "free riders") that profit from cooperators but do not invest any resources themselves. In a purely…

种群与进化 · 定量生物学 2010-12-17 Arend Hintze , Christoph Adami

Human social life is shaped by repeated interactions, where past experiences guide future behavior. In evolutionary game theory, a key challenge is to identify strategies that harness such memory to succeed in repeated encounters. Decades…

种群与进化 · 定量生物学 2025-09-16 Ketian Sun , Qi Su , Long Wang

Language models are increasingly deployed in interactive online environments, from personal chat assistants to domain-specific agents, raising questions about their cooperative and competitive behavior in multi-party settings. While prior…

人工智能 · 计算机科学 2025-09-08 Mukul Singh , Arjun Radhakrishna , Sumit Gulwani

Human decision behaviour is quite diverse. In many games humans on average do not achieve maximal payoff and the behaviour of individual players remains inhomogeneous even after playing many rounds. For instance, in repeated prisoner…

物理与社会 · 物理学 2015-11-11 Martin Spanknebel , Klaus Pawelzik

We investigate the evolution of cooperation on a non - growth network model with death/birth dynamics. Nodes reproduce under selection for higher payoffs in a prisoners dilemma game played between network neighbours. The mean field…

种群与进化 · 定量生物学 2009-11-13 Vasils Hatzopoulos , Henrik Jeldtoft Jensen

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