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How cooperation can evolve between players is an unsolved problem of biology. Here we use Hamiltonian dynamics of models of the Ising type to describe populations of cooperating and defecting players to show that the equilibrium fraction of…

种群与进化 · 定量生物学 2018-06-27 Christoph Adami , Arend Hintze

Predicting how cooperative behavior arises in the thermodynamic limit is one of the outstanding problems in evolutionary game theory. For two player games, cooperation is seldom the Nash equilibrium. However, in the thermodynamic limit…

物理与社会 · 物理学 2020-04-10 Colin Benjamin , Shubhayan Sarkar

The emergence of cooperation in the thermodynamic limit of social dilemmas is an emerging field of research. While numerical approaches (using replicator dynamics) are dime a dozen, analytical approaches are rare. A particularly useful…

物理与社会 · 物理学 2020-09-10 Colin Benjamin , Aditya Dash

Consider the scenario where an infinite number of players (i.e., the \textit{thermodynamic} limit) find themselves in a Prisoner's dilemma type situation, in a \textit{repeated} setting. Is it reasonable to anticipate that, in these…

统计力学 · 物理学 2024-07-23 Rajdeep Tah , Colin Benjamin

Studying social dilemmas prompts the question of how cooperation can emerge in situations where individuals are expected to act selfishly. Here, in the framework of the one-shot Public Goods Game (PGG), we introduce the concept that…

物理与社会 · 物理学 2024-02-09 Lucas S. Flores , The Anh Han

The public goods game is a model of a society investing some assets and regaining a profit, although can also model biological populations. In the classic public goods game only two strategies compete: either cooperate or defect; a third…

适应与自组织系统 · 物理学 2022-06-08 Gaspar Alfaro , Miguel A. F. Sanjuan

The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential…

计算机科学与博弈论 · 计算机科学 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

Analytically, finding the origins of cooperative behavior in infinite-player games is an exciting topic of current interest. In this paper, we compare three analytical methods, i.e., Nash equilibrium mapping (NEM), Darwinian selection (DS)…

统计力学 · 物理学 2025-01-15 Colin Benjamin , Rajdeep Tah

Prosocial behaviours have been extensively studied across multiple disciplines. Cooperation, requiring a personal cost for collective benefits, is widespread in nature and human society, having been explained through mechanisms such as kin…

种群与进化 · 定量生物学 2025-07-08 M. H. Duong , C. M. Durbac , T. A. Han

In this manuscript we explore the onset of cooperative traits in the Public Goods game. This well-known game involves N-agent interactions and thus reproduces a large number of social scenarios in which cooperation appears to be essential.…

物理与社会 · 物理学 2014-10-22 Carlos Gracia-Lazaro , Jesus Gomez-Gardenes , Luis Mario Floria , Yamir Moreno

The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable…

物理与社会 · 物理学 2012-10-26 Xiaojie Chen , Yongkui Liu , Yonghui Zhou , Long Wang , Matjaz Perc

In this Letter, we introduce an aspiration-induced reconnection mechanism into the spatial public goods game. A player will reconnect to a randomly chosen player if its payoff acquired from the group centered on the neighbor does not exceed…

物理与社会 · 物理学 2012-07-20 Hai-Feng Zhang , Run-Ran Liu , Zhen Wang , Han-Xin Yang , Bing-Hong Wang

We examine behavior in an experimental collaboration game that incorporates endogenous network formation. The environment is modeled as a generalization of the voluntary contributions mechanism. By varying the information structure in a…

综合经济学 · 经济学 2024-04-17 Philip Solimine , Luke Boosey

A large body of empirical evidence suggests that humans are willing to engage in costly punishment of defectors in public goods games. Based on such pieces of evidence, it is suggested that punishment serves an important role in promoting…

物理与社会 · 物理学 2022-01-25 Mohammad Salahshour

The public goods game is a broadly used paradigm for studying the evolution of cooperation in structured populations. According to the basic assumption, the interaction graph determines the connections of a player where the focal actor…

物理与社会 · 物理学 2024-04-24 Ju Han , Xiaojie Chen , Attila Szolnoki

Cooperative behavior among unrelated individuals in human and animal societies represents a most intriguing puzzle to scientists in various disciplines. Here we present a simple yet effective mechanism promoting cooperation under full…

凝聚态物理 · 物理学 2009-11-07 Gyorgy Szabo , Christoph Hauert

The problem of free-riding arises when individuals benefit from a shared resource, service, or public good without contributing proportionately to its provision. This conduct often leads to a collective action problem, as individuals pursue…

物理与社会 · 物理学 2024-06-12 María Pereda

Reputation and punishment are significant guidelines for regulating individual behavior in human society, and those with a good reputation are more likely to be imitated by others. In addition, society imposes varying degrees of punishment…

社会与信息网络 · 计算机科学 2025-11-25 Gui Zhang , Yichao Yao , Ziyan Zeng , Minyu Feng , Manuel Chica

Besides the structure of interactions within networks, also the interactions between networks are of the outmost importance. We therefore study the outcome of the public goods game on two interdependent networks that are connected by means…

物理与社会 · 物理学 2013-08-13 Zhen Wang , Attila Szolnoki , Matjaz Perc

We study the evolution of cooperation in public goods games on different regular graphs as a function of the noise level underlying strategy adoptions. We focus on the effects that are brought about by different group sizes of public goods…

物理与社会 · 物理学 2009-11-19 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo
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