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Global cooperation often falters despite shared objectives, as misaligned interests and unequal incentives undermine collective efforts, such as those in international climate change collaborations. To tackle this issue, this paper…

Computer Science and Game Theory · Computer Science 2025-09-17 Jinhua Zhao , Xinguo Yu , Rui Ding , Cuiling Gu , Xianjia Wang

We address the problem of how cooperative (altruistic-like) behavior arises in natural and social systems by analyzing an ultimatum game in complex networks. Specifically, three types of players are considered: (a) empathetic, whose…

Physics and Society · Physics 2009-12-18 Roberta Sinatra , Jaime Iranzo , Jesús Gómez-Gardeñes , Luis M. Floría , Vito Latora , Yamir Moreno

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

Physics and Society · Physics 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

We study the interpersonal trust of a population of agents, asking whether chance may decide if a population ends up in a high trust or low trust state. We model this by a discrete time, random matching stochastic coordination game. Agents…

Physics and Society · Physics 2024-05-20 Benedikt V. Meylahn , Arnoud V. den Boer , Michel Mandjes

Cooperation is fundamental to human societies, and the interaction structure among individuals profoundly shapes its emergence and evolution. In real-world scenarios, cooperation prevails in multi-group (higher-order) populations, beyond…

Physics and Society · Physics 2025-01-28 Dini Wang , Peng Yi , Yiguang Hong , Jie Chen , Gang Yan

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

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows to introduce elements of novelty, while the latter is responsible for the motion of a system in its phase…

Physics and Society · Physics 2018-04-11 Marco Antonio Amaral , Marco Alberto Javarone

The game dynamical equations are derived from Boltzmann-like equations for individual pair interactions by assuming a certain kind of imitation behavior, the so-called proportional imitation rule. They can be extended to a stochastic…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

We study the evolution of cooperation in the prisoner's dilemma game, whereby a coevolutionary rule is introduced that molds the random topology of the interaction network in two ways. First, existing links are deleted whenever a player…

Physics and Society · Physics 2009-09-25 Attila Szolnoki , Matjaz Perc

Most of previous studies concerning the Public Goods Game assume either participation is unconditional or the number of actual participants in a competitive group changes over time. How the fixed group size, prescribed by social…

Physics and Society · Physics 2015-05-13 Te Wu , Feng Fu , Long Wang

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

An evolutionary prisoner's dilemma (PD) game is studied with players located on a hierarchical structure of layered square lattices. The players can follow two strategies [D (defector) and C (cooperator)] and their income comes from PD…

Statistical Mechanics · Physics 2009-11-10 Jeromos Vukov , Gyorgy Szabo

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…

Populations and Evolution · Quantitative Biology 2013-05-30 Jan Alboszta , Jacek Miekisz

Over the past few decades, many works have studied the evolutionary dynamics of continuous games. However, previous works have primarily focused on two-player games with pairwise interactions. Indeed, group interactions rather than pairwise…

Physics and Society · Physics 2025-04-10 Jing Luo , Duozi Lin , Xiaojie Chen , Attila Szolnoki

Evolutionary game theory is a framework to formalize the evolution of collectives ("populations") of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. There are two…

Adaptation and Self-Organizing Systems · Physics 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko

Income redistribution is the transfer of income from some individuals to others directly or indirectly by means of social mechanisms, such as taxation, public services and so on. Employing a spatial public goods game, we study the influence…

Physics and Society · Physics 2017-03-08 Zhenhua Pei , Baokui Wang , Jinming Du

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

Building upon the eco-evolutionary game dynamics framework established by Tilman et al., we investigate stochastic fluctuations in a two-strategy system incorporating environmental feedback mechanisms, where the payoff matrix exhibits…

Populations and Evolution · Quantitative Biology 2025-12-01 Chao Wang , Minlan Li , Chang Liu

We propose a model for evolutionary game dynamics with three strategies $A$, $B$ and $C$ in the framework of Moran process in finite populations. The model can be described as a stochastic process which can be numerically computed from a…

Physics and Society · Physics 2007-05-23 Jing Wang , Feng Fu , Long Wang , Guangming Xie