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A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

Condensed Matter · Physics 2009-11-10 H. Fort

In this paper, we use a model of large random network game where the agents plays selfishly and are affected by their neighbors, to explore the conditions under which the Nash equilibrium (NE) of the game is affected by a perturbation in…

Physics and Society · Physics 2021-05-20 Abhishek Shende , Deepanshu Vasal , Sriram Vishwanath

We study an extension of the DeGroot model where part of the players may be rebels. The updating rule for rebels is quite different with that of normal players (which are referred to as conformists): at each step a rebel first takes the…

Social and Information Networks · Computer Science 2012-04-03 Zhigang Cao , Mingmin Yang , Xinglong Qu , Xiaoguang Yang

Classical game theory is a powerful framework to analyze the strategic interactions among rational players. However, in many real-life scenarios, players choose actions based on their inherent natural tendencies rather than deliberate…

Optimization and Control · Mathematics 2026-02-03 Raghupati Vyas , Khushboo Agarwal , Konstantin Avrachenkov , Veeraruna Kavitha

Punishment is an effective way to sustain cooperation among selfish individuals. In most of previous studies, objects of punishment are set to be defectors. In this paper, we propose a mechanism of punishment, in which individuals with the…

Physics and Society · Physics 2018-02-06 Han-Xin Yang , Xiaojie Chen

This paper discusses the role of opportunistic punisher who may act selfishly to free-ride cooperators or not to be exploited by defectors. To consider opportunistic punisher, we make a change to the sequence of one-shot public good game;…

Populations and Evolution · Quantitative Biology 2010-08-10 Jun-Sok Huhh

It has been an old unsolved puzzle to evolutionary theorists on which mechanisms would increase large-scale cooperation in human societies. Thus, how such mechanisms operate in a biological network is still not very understood. This study…

Populations and Evolution · Quantitative Biology 2018-04-10 Ivan C. Ezeigbo

Is there a joint distribution of $n$ random variables over the natural numbers, such that they always form an increasing sequence and whenever you take two subsets of the set of random variables of the same cardinality, their distribution…

Computer Science and Game Theory · Computer Science 2015-02-13 Sune K. Jakobsen

Strategic interactions between a group of individuals or organisations can be modelled as games played on networks, where a player's payoff depends not only on their actions but also on those of their neighbours. Inferring the network…

Machine Learning · Computer Science 2022-08-19 Emanuele Rossi , Federico Monti , Yan Leng , Michael M. Bronstein , Xiaowen Dong

The maintenance of cooperation in the presence of spatial restrictions has been studied extensively. It is well-established that the underlying graph topology can significantly influence the outcome of games on graphs. Maintenance of…

Physics and Society · Physics 2021-10-27 Saptarshi Sinha , Deep Nath , Soumen Roy

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…

Statistical Mechanics · Physics 2024-07-23 Rajdeep Tah , Colin Benjamin

The standard iterated prisoner's dilemma is an unrealistic model of social behaviour because it forces individuals to participate in the interaction. We analyse a model in which players have the option of ending their association. If the…

Optimization and Control · Mathematics 2007-05-23 L. A. Khodarinova , J. N. Webb

This paper presents a computational evolutionary game model to study and understand fraud dynamics in the consumption tax system. Players are cooperators if they correctly declare their value added tax (VAT), and are defectors otherwise.…

Neural and Evolutionary Computing · Computer Science 2021-01-13 M. Chica , J. Hernandez , C. Manrique-de-Lara-Peñate , R. Chiong

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 evolution and long-term sustenance of cooperation has consistently piqued scholarly interest across the disciplines of evolutionary biology and social sciences. Previous theoretical and experimental studies on collective risk social…

Physics and Society · Physics 2023-08-23 Shijia Hua , Zitong Hui , Linjie Liu

As a simple model for criminal behavior, the traditional two-strategy inspection game yields counterintuitive results that fail to describe empirical data. The latter shows that crime is often recurrent, and that crime rates do not respond…

Physics and Society · Physics 2015-06-11 Matjaz Perc , Attila Szolnoki

While enforcing egalitarian social norms is critical for human society, punishing social norm violators often incurs a cost to the self. This cost looms even larger when one can benefit from an unequal distribution of resources (i.e.…

Neurons and Cognition · Quantitative Biology 2025-07-29 Shen Zhang , Oriel FeldmanHall , Sébastien Hétu , A. Ross Otto

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

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

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…

Physics and Society · Physics 2022-01-25 Mohammad Salahshour