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We study population dynamics under which each revising agent tests each strategy k times, with each trial being against a newly drawn opponent, and chooses the strategy whose mean payoff was highest. When k = 1, defection is globally stable…

理论经济学 · 经济学 2021-01-05 Srinivas Arigapudi , Yuval Heller , Igal Milchtaich

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

动力系统 · 数学 2023-01-11 Longmei Shu , Feng Fu

In the framework of the paradigmatic prisoner's dilemma, we investigate the evolutionary dynamics of social dilemmas in the presence of "cooperation facilitators". In our model, cooperators and defectors interact as in the classical…

种群与进化 · 定量生物学 2012-08-02 Mauro Mobilia

Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multi-player replicator dynamics in a constant environment. The two-player terms…

种群与进化 · 定量生物学 2015-05-13 Armen E. Allahverdyan , Chin-Kun Hu

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agent updates its real-valued opinion about each available…

物理与社会 · 物理学 2021-11-24 Shinkyu Park , Anastasia Bizyaeva , Mari Kawakatsu , Alessio Franci , Naomi Ehrich Leonard

Destructive agents, who opt out of the game and indiscriminately harm others, paradoxically foster cooperation, representing an intriguing variant of the voluntary participation strategy. Yet, their impact on cooperation remains…

物理与社会 · 物理学 2024-09-13 Khadija Khatun , Chen Shen , Lei Shi , Jun Tanimoto

Recent experimental evidence [Gruji\'c et al., PLoS ONE 5, e13749 (2010)] on the spatial Prisoner's Dilemma suggests that players choosing to cooperate or not on the basis of their previous action and the actions of their neighbors coexist…

种群与进化 · 定量生物学 2015-02-18 Jelena Grujić , José A. Cuesta , Angel Sánchez

Cooperation is a difficult proposition in the face of Darwinian selection. Those that defect have an evolutionary advantage over cooperators who should therefore die out. However, spatial structure enables cooperators to survive through the…

物理与社会 · 物理学 2018-02-02 Attila Szolnoki , Matjaz Perc

In this paper, we study analytically the statistics of the number of equilibria in pairwise social dilemma evolutionary games with mutation where a game's payoff entries are random variables. Using the replicator-mutator equations, we…

种群与进化 · 定量生物学 2021-09-15 Manh Hong Duong , The Anh Han

Myopic best-response dynamics (MBRD) capture agents' bounded rationality and can generate evolutionary outcomes that differ from those produced by widely examined imitation dynamics. In this study, we apply MBRD to a three-strategy social…

物理与社会 · 物理学 2026-03-20 Hirofumi Takesue

Multilevel selection is an important organizing principle that crucially underlies evolutionary processes from the emergence of cells to eusociality and the economics of nations. Previous studies on multilevel selection assumed that the…

种群与进化 · 定量生物学 2016-06-22 Marvin A. Böttcher , Jan Nagler

We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

种群与进化 · 定量生物学 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

Natural selection favors the more successful individuals. This is the elementary premise that pervades common models of evolution. Under extreme conditions, however, the process may no longer be probabilistic. Those that meet certain…

物理与社会 · 物理学 2014-03-07 Attila Szolnoki , Alberto Antonioni , Marco Tomassini , Matjaz Perc

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

Decision-making individuals are typically either an imitator, who mimics the action of the most successful individual(s), a conformist (or coordinating individual), who chooses an action if enough others have done so, or a nonconformist (or…

动力系统 · 数学 2022-02-11 Hien Le , Mohaddeseh Rajaee , Pouria Ramazi

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

物理与社会 · 物理学 2018-02-23 Attila Szolnoki , Xiaojie Chen

Controlling evolutionary game-theoretic dynamics is a problem of paramount importance for the systems and control community, with several applications spanning from social science to engineering. Here, we study a population of individuals…

系统与控制 · 电气工程与系统科学 2024-10-22 Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Giuseppe Carlo Calafiore

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

系统与控制 · 电气工程与系统科学 2023-02-16 Yiheng Fu , Pouria Ramazi

We report on new stability conditions for evolutionary dynamics in the context of population games. We adhere to the prevailing framework consisting of many agents, grouped into populations, that interact noncooperatively by selecting…

种群与进化 · 定量生物学 2021-07-08 Semih Kara , Nuno C. Martins

We construct two models of discrete-time replicator dynamics with time delay. In the social-type model, players imitate opponents taking into account average payoffs of games played some units of time ago. In the biological-type model, new…

种群与进化 · 定量生物学 2013-05-30 Jan Alboszta , Jacek Miekisz