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Models of strategy evolution on static networks help us understand how population structure can promote the spread of traits like cooperation. One key mechanism is the formation of altruistic spatial clusters, where neighbors of a…

Physics and Society · Physics 2023-09-07 Qi Su , Alex McAvoy , Joshua B. Plotkin

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 · Physics 2015-06-30 Eizo Akiyama , Kunihiko Kaneko

In this paper, we analyse inspection games with an evolutionary perspective. In our evolutionary inspection game with a large population, each individual is not a rational payoff maximiser, but periodically updates his strategy if he…

Optimization and Control · Mathematics 2013-06-19 Vassili Kolokoltsov , Hemant Passi , Wei Yang

In spatial games players typically alter their strategy by imitating the most successful or one randomly selected neighbor. Since a single neighbor is taken as reference, the information stemming from other neighbors is neglected, which…

Physics and Society · Physics 2012-11-01 Xiaofeng Wang , Matjaz Perc , Yongkui Liu , Xiaojie Chen , Long Wang

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

Populations and Evolution · Quantitative Biology 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

The success of imitation as an evolutionary driving force in spatial games has often been questioned, especially for social dilemmas such as the snowdrift game, where the most profitable may be the mixed phase sustaining both the…

Physics and Society · Physics 2011-10-17 Attila Szolnoki , Neng-Gang Xie , Chao Wang , Matjaz Perc

Evolutionary games on graphs play an important role in the study of evolution of cooperation in applied biology. Using rigorous mathematical concepts from a dynamical systems and graph theoretical point of view, we formalize the notions of…

Dynamical Systems · Mathematics 2014-11-18 Jeremias Epperlein , Stefan Siegmund , Petr Stehlík

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

The literature on evolutionary game theory suggests that pure strategies that are strictly dominated by other pure strategies always become extinct under imitative game dynamics, but they can survive under innovative dynamics. As we…

Computer Science and Game Theory · Computer Science 2022-09-20 Panayotis Mertikopoulos , Yannick Viossat

Evolutionary models are used to study the self-organisation of collective action, often incorporating population structure due to its ubiquitous presence and long-known impact on emerging phenomena. We investigate the evolution of…

Populations and Evolution · Quantitative Biology 2023-04-20 Diogo L. Pires , Igor Erovenko , Mark Broom

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

Evolution Strategies are inspired in biology and part of a larger research field known as Evolutionary Algorithms. Those strategies perform a random search in the space of admissible functions, aiming to optimize some given objective…

Optimization and Control · Mathematics 2007-12-30 Pedro A. F. Cruz , Delfim F. M. Torres

Game theory ideas provide a useful framework for studying evolutionary dynamics in a well-mixed environment. This approach, however, typically enforces a strictly fixed overall population size, deemphasizing natural growth processes. We…

Populations and Evolution · Quantitative Biology 2016-08-30 Thiparat Chotibut , David R. Nelson

In evolutionary game theory, an important measure of a mutant trait (strategy) is its ability to invade and take over an otherwise-monomorphic population. Typically, one quantifies the success of a mutant strategy via the probability that a…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert

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

We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of…

Populations and Evolution · Quantitative Biology 2012-04-20 Alex J. Bladon , Tobias Galla , Alan J. McKane

Most research on adaptive decision-making takes a strategy-first approach, proposing a method of solving a problem and then examining whether it can be implemented in the brain and in what environments it succeeds. We present a method for…

Neural and Evolutionary Computing · Computer Science 2015-09-21 Peter Kvam , Joseph Cesario , Jory Schossau , Heather Eisthen , Arend Hintze

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

Multiagent Systems · Computer Science 2024-09-17 Shinkyu Park

Game dynamics theory, as a field of science, the consistency of theory and experiment is essential. In the past 10 years, important progress has been made in the merging of the theory and experiment in this field, in which dynamics cycle is…

Theoretical Economics · Economics 2024-11-13 Zhijian Wang , Shujie Zhou , Qinmei Yao , Yijia Wang

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

Populations and Evolution · Quantitative Biology 2022-02-02 Farshad Shirani , Judith R. Miller