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Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two…

Physics and Society · Physics 2015-10-21 Marco A. Amaral , Jafferson K. L. da Silva , Lucas Wardil

We construct a statistical ensemble of games, where in each independent subensemble we have two players playing the same game. We derive the mean payoffs per move of the representative players of the game, and we evaluate all the…

Populations and Evolution · Quantitative Biology 2016-09-08 Rui Dilao , Joao Graciano

Originating in evolutionary game theory, the class of "zero-determinant" strategies enables a player to unilaterally enforce linear payoff relationships in simple repeated games. An upshot of this kind of payoff constraint is that it can…

Theoretical Economics · Economics 2025-11-26 Nikos Dimou , Alex McAvoy

Humans and other animals can adapt their social behavior in response to environmental cues including the feedback obtained through experience. Nevertheless, the effects of the experience-based learning of players in evolution and…

Populations and Evolution · Quantitative Biology 2011-04-05 Naoki Masuda , Mitsuhiro Nakamura

Populations of replicating entities frequently experience sudden or cyclical changes in environment. We explore the implications of this phenomenon via a environmental switching parameter in several common evolutionary dynamics models…

Dynamical Systems · Mathematics 2013-06-12 Marc Harper , Dashiell Fryer , Andrew Vlasic

Evolutionary game dynamics with two 2-strategy games in a finite population has been investigated in this study. Traditionally, frequency-dependent evolutionary dynamics are modeled by deterministic replicator dynamics under the assumption…

Populations and Evolution · Quantitative Biology 2013-06-03 Koh Hashimoto

The idea of incompetence as a learning or adaptation function was introduced in the context of evolutionary games as a fixed parameter. However, live organisms usually perform different nonlinear adaptation functions such as a power law or…

Populations and Evolution · Quantitative Biology 2018-10-24 Maria Kleshnina , Jerzy A. Filar , Cecilia Gonzalez Tokman

Evolutionary game dynamics are often studied in the context of different population structures. Here we propose a new population structure that is inspired by simple multicellular life forms. In our model, cells reproduce but can stay…

Populations and Evolution · Quantitative Biology 2016-05-26 Kamran Kaveh , Carl Veller , Martin A. Nowak

Evolutionary game theory is used to model the evolution of competing strategies in a population of players. Evolutionary stability of a strategy is a dynamic equilibrium, in which any competing mutated strategy would be wiped out from a…

Computer Science and Game Theory · Computer Science 2015-03-24 Dharshana Kasthurirathna , Mahendra Piraveenan , Shahadat Uddin

Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only…

Populations and Evolution · Quantitative Biology 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski

Recently, an evolutionary game dynamics model taking into account the environmental feedback has been proposed to describe the co-evolution of strategic actions of a population of individuals and the state of the surrounding environment;…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Lulu Gong , Weijia Yao , Jian Gao , Ming Cao

Evolutionary game theory has been a successful tool to combine classical game theory with learning-dynamical descriptions in multiagent systems. Provided some symmetric structures of interacting players, many studies have been focused on…

Artificial Intelligence · Computer Science 2022-06-23 Xinyu Zhang , Peng Peng , Yushan Zhou , Haifeng Wang , Wenxin Li

Cultures around the world show varying levels of conservatism. While maintaining traditional ideas prevents wrong ones from being embraced, it also slows or prevents adaptation to new times. Without exploration there can be no improvement,…

Populations and Evolution · Quantitative Biology 2023-04-17 Brian Mintz , Feng Fu

Evolutionary games on networks traditionally involve the same game at each interaction. Here we depart from this assumption by considering mixed games, where the game played at each interaction is drawn uniformly at random from a set of two…

Physics and Society · Physics 2016-05-23 Marco A. Amaral , Lucas Wardil , Matjaz Perc , Jafferson K. L. da Silva

A general framework of evolutionary dynamics under heterogeneous populations is presented. The framework allows continuously many types of heterogeneous agents, heterogeneity both in payoff functions and in revision protocols and the entire…

Computer Science and Game Theory · Computer Science 2023-10-13 Dai Zusai

This paper further develops work from a previous article which introduced a new way of modelling evolutionary game models with an emphasis on ecological realism, concerned with how ecological factors determine payoffs in evolutionary games.…

Populations and Evolution · Quantitative Biology 2014-03-05 Krzysztof Argasinski , Mark Broom

Human society and natural environment form a complex giant ecosystem, where human activities not only lead to the change of environmental states, but also react to them. By using collective-risk social dilemma game, some studies have…

Physics and Society · Physics 2024-04-24 Linjie Liu , Xiaojie Chen , Attila Szolnoki

In the presence of persistent payoff heterogeneity, the evolution of the aggregate strategy hugely depends on the underlying strategy composition under many evolutionary dynamics, while the aggregate dynamic under the standard BRD reduces…

Computer Science and Game Theory · Computer Science 2018-11-01 Dai Zusai

Evolutionary $2 \times 2$ games are studied with players located on a square lattice. During the evolution the randomly chosen neighboring players try to maximize their collective income by adopting a random strategy pair with a probability…

Populations and Evolution · Quantitative Biology 2010-08-23 Gyorgy Szabo , Attila Szolnoki , Melinda Varga , Livia Hanusovszky

Repeated interactions are ubiquitous and known to promote social behaviour. While research often focuses on cooperation in the Prisoner's Dilemma, experimental evidence suggests repeated interactions also foster fairness. This study…

Adaptation and Self-Organizing Systems · Physics 2026-04-07 Prosanta Mandal , Arunava Patra , Sagar Chakraborty