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This paper proposes a mathematical model for the coevolution of actions and opinions for a population facing a social dilemma. In particular, we assume each person participates in a Public Goods Game (PGG), with their action being to…

Dynamical Systems · Mathematics 2026-04-13 Ella C. Davidson , Lorenzo Zino , Ming Cao , Mengbin Ye

Commonly, the strategy revision phase in evolutionary games relies on payoff comparison. Namely, agents compare their payoff with the opponent, assessing whether changing strategy can be potentially convenient. Even tiny payoff differences…

Physics and Society · Physics 2023-10-24 Marco Alberto Javarone , Shaurya Pratap Singh

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…

Physics and Society · Physics 2019-09-27 Attila Szolnoki , Xiaojie Chen

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…

Computer Science and Game Theory · Computer Science 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

Indirect reciprocity in which players cooperate with unacquainted other players having good reputations is a mechanism for cooperation in relatively large populations subjected to social dilemma situations. When the population has group…

Physics and Society · Physics 2012-07-30 Naoki Masuda

We study the effects of individual perceptions of payoffs in two-player games. In particular we consider the setting in which individuals' perceptions of the game are influenced by their previous experiences and outcomes. Accordingly, we…

Computer Science and Game Theory · Computer Science 2019-06-05 Alberto Antonioni , Luis A. Martinez-Vaquero , Cole Mathis , Leto Peel , Massimo Stella

In the traditional setup of public goods game all players are involved in every available groups and the mutual benefit is shared among competing cooperator and defector strategies. But in real life situations the group formation of players…

Physics and Society · Physics 2016-10-19 Attila Szolnoki , Xiaojie Chen

Cooperation arises in nature at every scale, from within cells to entire ecosystems. In the framework of evolutionary game theory, public goods games (PGGs) are used to analyse scenarios where individuals can cooperate or defect, and can…

In a large population, the agents temporally form group of the Public Goods Game (PGG) one after another, and size of one group is randomly distributed at $g\in [g_l,g_h]$. Players in it have two strategies to be chosen to cooperate, or to…

Physics and Society · Physics 2024-04-18 Hong-Bin Zhang , Deng-Ping Tang

I study a repeated game in which a patient player (e.g., a seller) wants to win the trust of some myopic opponents (e.g., buyers) but can strictly benefit from betraying them. Her benefit from betrayal is strictly positive and is her…

Theoretical Economics · Economics 2020-06-16 Harry Pei

Scientific coauthorship, generated by collaborations and competitions among researchers, reflects effective organizations of human resources. Researchers, their expected benefits through collaborations, and their cooperative costs…

Physics and Society · Physics 2018-09-19 Zheng Xie , Jianping Li , Miao Li

Reputations provide a powerful mechanism to sustain cooperation, as individuals cooperate with those of good social standing. But how should moral reputations be updated as we observe social behavior, and when will a population converge on…

Populations and Evolution · Quantitative Biology 2022-10-26 Taylor A. Kessinger , Corina E. Tarnita , Joshua B. Plotkin

We study the complexity of several combinatorial problems in the model of binary networked public goods games. In this game, players are represented by vertices in a network, and the action of each player can be either investing or not…

Computer Science and Game Theory · Computer Science 2020-12-08 Yongjie Yang , Jianxin Wang

Varying environmental conditions affect relations between interacting individuals in social dilemmas, thus affecting also the evolution of cooperation. Oftentimes these environmental variations are seasonal and can therefore be…

Physics and Society · Physics 2019-09-02 Attila Szolnoki , Matjaz Perc

Evaluation relationships are pivotal for maintaining a cooperative society. A formation of the evaluation relationships has been discussed in terms of indirect reciprocity, by modeling dynamics of good or bad reputations among individuals.…

Physics and Society · Physics 2022-05-11 Yuma Fujimoto , Hisashi Ohtsuki

Punishment is a common tactic to sustain cooperation and has been extensively studied for a long time. While most of previous game-theoretic work adopt the imitation learning where players imitate the strategies who are better off, the…

Populations and Evolution · Quantitative Biology 2024-12-20 Chenyang Zhao , Guozhong Zheng , Chun Zhang , Jiqiang Zhang , Li Chen

We study the evolution of cooperation in spatial public goods games where, besides the classical strategies of cooperation (C) and defection (D), we consider punishing cooperators (PC) or punishing defectors (PD) as an additional strategy.…

Physics and Society · Physics 2010-08-04 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

We model a dynamic public good contribution game, where players are (naturally) formed into groups. The groups are exogenously placed in a sequence, with limited information available to players about their groups' position in the sequence.…

Theoretical Economics · Economics 2022-10-18 Chowdhury Mohammad Sakib Anwar , Jorge Bruno , Sonali SenGupta

The positive impact of cooperative bots on cooperation within evolutionary game theory is well documented; however, existing studies have predominantly used discrete strategic frameworks, focusing on deterministic actions with a fixed…

Physics and Society · Physics 2024-06-24 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto

Pro-social punishment and exclusion are common means to elevate the level of cooperation among unrelated individuals. Indeed, it is worth pointing out that the combined use of these two strategies is quite common across human societies.…

Physics and Society · Physics 2018-12-27 Linjie Liu , Shengxian Wang , Xiaojie Chen , Matjaz Perc