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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

A discrete-time model of reacting evolving fields, transported by a bidimensional chaotic fluid flow, is studied. Our approach is based on the use of a Lagrangian scheme where {\it fluid particles} are advected by a $2d$ symplectic map…

We consider three distinct discrete-time models of learning and evolution in games: a biological model based on intra-species selective pressure, the dynamics induced by pairwise proportional imitation, and the exponential / multiplicative…

Dynamical Systems · Mathematics 2024-02-27 Fryderyk Falniowski , Panayotis Mertikopoulos

Economic ensembles can be modeled as networks of interacting agents whose be-haviors are described in terms of game theory. The evolutionary paradigm has been applied to two-person games to discover strategies in this context.…

Condensed Matter · Physics 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah

In this paper, we consider a two-player two-strategy game with random payoffs in a population subdivided into $d$ demes, each containing $N$ individuals at the beginning of any given generation and experiencing local extinction and…

Populations and Evolution · Quantitative Biology 2023-11-02 Dhaker Kroumi , Sabin Lessard

Spatial extent is a complicating factor in mathematical biology. The possibility that an action at point A cannot immediately affect what happens at point B creates the opportunity for spatial nonuniformity. This nonuniformity must change…

Cellular Automata and Lattice Gases · Physics 2014-01-03 Blake C. Stacey , Andreas Gros , Yaneer Bar-Yam

This article investigates an evolutionary game based on the framework of interacting particle systems. Each point of the square lattice is occupied by a player who is characterized by one of two possible strategies and is attributed a…

Probability · Mathematics 2015-05-19 N. Lanchier

Fitness consequence of dispersal depends on property of the entire landscape, which patches are available and what are the cost of moving. These are information that are not available locally when an organism make the decision to disperse.…

Populations and Evolution · Quantitative Biology 2026-01-08 Wayne Liang , Rufus Johnstone

Humanity faces numerous problems of common-pool resource appropriation. This class of multi-agent social dilemma includes the problems of ensuring sustainable use of fresh water, common fisheries, grazing pastures, and irrigation systems.…

Multiagent Systems · Computer Science 2017-09-07 Julien Perolat , Joel Z. Leibo , Vinicius Zambaldi , Charles Beattie , Karl Tuyls , Thore Graepel

Understanding how cooperation can evolve in populations despite its cost to individual cooperators is an important challenge. Models of spatially structured populations with one individual per node of a graph have shown that cooperation,…

Populations and Evolution · Quantitative Biology 2024-12-30 Alix Moawad , Alia Abbara , Anne-Florence Bitbol

Frequency dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency dependent selection, the average fitness of the population may increase or decrease based on…

Populations and Evolution · Quantitative Biology 2015-06-23 Weini Huang , Christoph Hauert , Arne Traulsen

Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and environmental driven changes on the marine ecosystem. In…

Analysis of PDEs · Mathematics 2024-01-02 Laura Kanzler , Benoit Perthame , Benoit Sarels

Games with environmental feedback have become a crucial area of study across various scientific domains, modelling the dynamic interplay between human decisions and environmental changes, and highlighting the consequences of our choices on…

Physics and Society · Physics 2024-03-19 Meghdad Saeedian , Chengyi Tu , Fabio Menegazzo , Paolo D'Odorico , Sandro Azaele , Samir Suweis

In a laboratory experiment, round by round, individual interactions should lead to the social evolutionary rotation in population strategy state space. Successive switching the incentive parameter should lead to successive change of the…

Methodology · Statistics 2012-07-25 Zhijian Wang , Bin Xu

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

Evolutionary game theory has impacted many fields of research by providing a mathematical framework for studying the evolution and maintenance of social and moral behaviors. This success is owed in large part to the demonstration that the…

Physics and Society · Physics 2024-06-03 José F. Fontanari

The pursuit of highest payoffs in evolutionary social dilemmas is risky and sometimes inferior to conformity. Choosing the most common strategy within the interaction range is safer because it ensures that the payoff of an individual will…

Physics and Society · Physics 2014-12-23 Attila Szolnoki , Matjaz Perc

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

We study evolutionary games in a spatial diluted grid environment in which agents strategically interact locally but can also opportunistically move to other positions within a given migration radius. Using the imitation of the best rule…

Physics and Society · Physics 2015-06-17 Pierre Buesser , Marco Tomassini , Alberto Antonioni

The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Holger Ebel , Stefan Bornholdt