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The best-response dynamics is an example of an evolutionary game where players update their strategy in order to maximize their payoff. The main objective of this paper is to study a stochastic spatial version of this game based on the…

概率论 · 数学 2014-07-28 Stephen Evilsizor , Nicolas Lanchier

The paper presents a model of two-speed evolution in which the payoffs in the population game (or, alternatively, the individual preferences) slowly adjust to changes in the aggregate behavior of the population. The model investigates how,…

理论经济学 · 经济学 2021-06-16 George Loginov

Evolutionary game dynamics describes not only frequency dependent genetical evolution, but also cultural evolution in humans. In this context, successful strategies spread by imitation. It has been shown that the details of strategy update…

种群与进化 · 定量生物学 2013-10-07 Arne Traulsen , Dirk Semmann , Ralf D. Sommerfeld , Hans-Juergen Krambeck , Manfred Milinski

This tutorial article puts forth a framework to analyze the noncooperative strategic interactions among the members of a large population of bounded rationality agents. Our approach hinges on, unifies and generalizes existing methods and…

最优化与控制 · 数学 2020-07-15 Shinkyu Park , Nuno C. Martins , Jeff S. Shamma

A non-zero-sum 3-person coalition game is presented, to study the evolution of complexity and diversity in cooperation, where the population dynamics of players with strategies is given according to their scores in the iterated game and…

adap-org · 物理学 2015-06-30 Eizo Akiyama , Kunihiko Kaneko

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

种群与进化 · 定量生物学 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

种群与进化 · 定量生物学 2019-06-19 Qi Su , Lei Zhou , Long Wang

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

种群与进化 · 定量生物学 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

Continuously changing environments have a paramount role in the evolution of cooperative behavior. Previous works have shown that the transitions among different games, as the feedback between behaviors and environments, can promote…

物理与社会 · 物理学 2026-03-25 Yuji Zhang , Minyu Feng , Qin Li , Matjaz Perc , Attila Szolnoki

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…

种群与进化 · 定量生物学 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski

Evolution occurs in populations of reproducing individuals. Reproduction depends on the payoff a strategy receives. The payoff depends on the environment that may change over time, on intrinsic uncertainties, and on other sources of…

种群与进化 · 定量生物学 2018-02-05 Frank Stollmeier , Jan Nagler

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…

适应与自组织系统 · 物理学 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko

Trust and reciprocation of it form the foundation of economic, social and other interactions. While the Trust Game is widely used to study these concepts for interactions between two players, often alternating different roles (i.e.,…

物理与社会 · 物理学 2025-05-21 Ik Soo Lim , Naoki Masuda

Non-binding communication is common in daily life and crucial for fostering cooperation, even though it has no direct payoff consequences. However, despite robust empirical evidence, its evolutionary basis remains poorly understood. Here,…

物理与社会 · 物理学 2025-07-15 Zhao Song , Chen Shen , The Anh Han

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…

物理与社会 · 物理学 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

元胞自动机与格子气 · 物理学 2007-12-21 H. Fort

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

物理与社会 · 物理学 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant…

种群与进化 · 定量生物学 2007-05-23 Jacek Miekisz

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…

种群与进化 · 定量生物学 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

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…

物理与社会 · 物理学 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki
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