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Is gender identity binary or nonbinary? My analysis shows that while both are possible, the latter is a more attracting equilibrium under an adaptive learning perspective. I frame the gender identity problem as a modified \textit{battle of…

General Economics · Economics 2024-12-17 Hung Truong

Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

Computer Science and Game Theory · Computer Science 2015-05-27 Paolo Galeazzi , Michael Franke

Random walks are powerful tools to analyze spatial-temporal patterns produced by living organisms ranging from cells to humans. At the same time, it is evident that these patterns are not completely random but are results of a convolution…

Statistical Mechanics · Physics 2021-12-08 M. I. Krivonosov , S. N. Tikhomirov , S. Denisov

The emergence of collective cooperation in competitive environments is a well-known phenomenon in biology, economics, and social systems. While most evolutionary game models focus on the evolution of strategies for a fixed game, how…

Physics and Society · Physics 2024-08-01 Onkar Sadekar , Andrea Civilini , Jesús Gómez-Gardeñes , Vito Latora , Federico Battiston

The paper presents an evolutionary game-theoretic approach to open access publishing as an asymmetric game between scientists and publishers. We show how the ordinary differential equations of the model presented can be written as a system…

Optimization and Control · Mathematics 2009-03-27 Katharina Habermann , Lutz Habermann

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 connection between the evolution of an arbitrary configuration and the evolution of its parts in the first generation is established. The equivalence of Conway's evolution rules to the elementary configurations' (containing one, two,…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Serguei Vorojtsov

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

This paper is a twofold contribution. First, it contributes to the problem of enumerating some classes of simple games and in particular provides the number of weighted games with minimum and the number of weighted games for the dual class…

Combinatorics · Mathematics 2015-05-14 Josep Freixas , Sascha Kurz

In biology, the evolution of increasingly cooperative groups has shaped the history of life. Genes collaborate in the control of cells; cells efficiently divide tasks to produce cohesive multicellular individuals; individual members of…

Populations and Evolution · Quantitative Biology 2011-12-15 Steven A. Frank

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

These lecture notes introduce key concepts of mathematical population genetics within the most elementary setting and describe a few recent applications to microbial evolution experiments. Pointers to the literature for further reading are…

Populations and Evolution · Quantitative Biology 2018-03-23 Joachim Krug

Several quantum versions of the battle of the sexes game are analyzed. Some of them are shown to reproduce the classical game. In some, there are no Nash quantum pure equilibria. In some others, the payoffs are always equal to each other.…

Quantum Physics · Physics 2007-05-23 Joao Jose de Farias Neto

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

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…

Populations and Evolution · Quantitative Biology 2007-05-23 Jacek Miekisz

Games have always been a popular test bed for artificial intelligence techniques. Game developers are always in constant search for techniques that can automatically create computer games minimizing the developer's task. In this work we…

Neural and Evolutionary Computing · Computer Science 2014-06-03 Zahid Halim

Computer experiments that mirror the evolutionary dynamics of sexual and asexual organisms as they occur in nature, tested features proposed to explain the evolution of sexual recombination. Results show that this evolution is better…

Populations and Evolution · Quantitative Biology 2018-04-18 Klaus Jaffe

Here we introduce a model in which individuals differ in the rate at which they seek new interactions with others, making rational decisions modeled as general symmetric two-player games. Once a link between two individuals has formed, the…

Populations and Evolution · Quantitative Biology 2007-05-23 Jorge M. Pacheco , Arne Traulsen , Martin A. Nowak

This paper is devoted to studying a system of coupled nonlinear first order history-dependent evolution inclusions in the framework of evolution triples of spaces. The multivalued terms are of the Clarke subgradient or of the convex…

Analysis of PDEs · Mathematics 2023-09-12 S. Migorski

We study an evolutionary version of the Prisoner's Dilemma game, played by agents placed in a small-world network. Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Guillermo Abramson , Marcelo Kuperman