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Evolution of cooperation in the prisoner's dilemma game is studied where initially all players are linked via a regular graph, having four neighbors each. Simultaneously with the strategy evolution, players are allowed to make new…

Physics and Society · Physics 2009-03-27 Attila Szolnoki , Matjaz Perc , Zsuzsa Danku

Involution, a phenomenon of excessive competition with diminishing returns, has become a pressing socio-economic concern in contemporary China, prompting both academic inquiry and policy interventions. This paper proposes an evolutionary…

Physics and Society · Physics 2026-03-16 Bo Li , Qiwen Ge , Yong Shi

"Personal responsibility", one of the basic principles of modern law, requires one to be responsible for what he did. However, personal responsibility is far from the only norm ruling human interactions, especially in social and economic…

Physics and Society · Physics 2021-09-15 Guocheng Wang , Qi Su , Long Wang

With an evolutionary approach, the basis of morality can be explained as adaptations to problems of cooperation. With 'evolution' taken in a broad sense, AIs that satisfy the conditions for evolution to apply will be subject to the same…

Physics and Society · Physics 2025-10-09 Daniel Vallstrom

We study how expanding the scope for selecting game and learning (adaptation) partners affects the evolution of cooperation in public goods games on scale-free networks. We show the following three results. (i) Expanding the scope for…

Physics and Society · Physics 2024-01-17 Masaaki Inaba , Eizo Akiyama

Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

In recent years, there has been growing interest in studying evolutionary games with environmental feedback. Previous studies exclusively focus on two-player games. However, extension to multi-player game is needed to study problems such as…

Physics and Society · Physics 2019-07-24 Yanxuan Shao , Xin Wang , Feng Fu

We compare the likelihood of different socially relevant features to allow the evolutionary emergence and maintenance of cooperation in a generalized variant of the iterated Prisoners Dilemma game. Results show that the average…

Physics and Society · Physics 2013-11-19 Claudia Montoreano , Klaus Jaffe

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…

Populations and Evolution · Quantitative Biology 2018-06-27 Christoph Adami , Arend Hintze

Many mathematical frameworks of evolutionary game dynamics assume that the total population size is constant and that selection affects only the relative frequency of strategies. Here, we consider evolutionary game dynamics in an extended…

Populations and Evolution · Quantitative Biology 2018-02-16 Alex McAvoy , Nicolas Fraiman , Christoph Hauert , John Wakeley , Martin A. Nowak

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…

Populations and Evolution · Quantitative Biology 2012-08-02 Mauro Mobilia

Studies of cooperation have traditionally focused on discrete games such as the well-known prisoner's dilemma, in which players choose between two pure strategies: cooperation and defection. Increasingly, however, cooperation is being…

Populations and Evolution · Quantitative Biology 2010-10-27 Åke Brännström , Thilo Gross , Bernd Blasius , Ulf Dieckmann

In this work, we aim to contribute to the understanding of the human pro-social behavior by studying the influence that a particular form of social pressure "being watched" has on the evolution of cooperative behavior. We study how…

Physics and Society · Physics 2016-10-12 María Pereda

Interacting particle systems of interest in evolutionary game theory introduced in the probability literature consist of variants of the voter model in which each site is occupied by one player. The goal of this paper is to initiate the…

Probability · Mathematics 2024-12-31 Jonas Köppl , Nicolas Lanchier , Max Mercer

Many real systems are strongly characterized by collective cooperative phenomena whose existence and properties still need a satisfactory explanation. Coherently with their collective nature, they call for new and more accurate descriptions…

Physics and Society · Physics 2020-07-30 Giulio Burgio , Joan T. Matamalas , Sergio Gómez , Alex Arenas

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

Physics and Society · Physics 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki

Cooperation is ubiquitous across all levels of biological systems ranging from microbial communities to human societies. It, however, seemingly contradicts the evolutionary theory, since cooperators are exploited by free-riders and thus are…

Populations and Evolution · Quantitative Biology 2019-09-23 Yunming Xiao , Bin Wu

We study the cooperation problem in the framework of evolutionary game theory using the prisoner's dilemma as metaphor of the problem. Considering the growing process of the system and individuals with imitation capacity, we show conditions…

Computer Science and Game Theory · Computer Science 2015-06-11 Ignacio Gomez Portillo

Game theory formalizes certain interactions between physical particles or between living beings in biology, sociology, and economics, and quantifies the outcomes by payoffs. The prisoner's dilemma (PD) describes situations in which it is…

Physics and Society · Physics 2015-05-13 Dirk Helbing , Sergi Lozano

The evolution of two species with different fitness is investigated on degree-heterogeneous graphs. The population evolves either by one individual dying and being replaced by the offspring of a random neighbor (voter model (VM) dynamics)…

Populations and Evolution · Quantitative Biology 2009-11-13 T. Antal , S. Redner , V. Sood
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