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Multiple stable states - the coexistence of two or more distinct ecological configurations under identical environmental conditions - have attracted sustained interest in ecology, yet the field still lacks a unified framework connecting…

Populations and Evolution · Quantitative Biology 2026-05-08 Jennifer Paige , Denis D. Patterson , Alan Hastings

Despite the wealth of empirical and theoretical studies, the origin and maintenance of cooperation is still an evolutionary riddle. In this context, ecological life-history traits which affect the efficiency of selection may play a role,…

Populations and Evolution · Quantitative Biology 2019-04-16 Thibaut Sellinger , Johannes Müller , Volker Hösel , Aurélien Tellier

How cooperation can evolve between players is an unsolved problem of biology. Here we use Hamiltonian dynamics of models of the Ising type to describe populations of cooperating and defecting players to show that the equilibrium fraction of…

Populations and Evolution · Quantitative Biology 2018-06-27 Christoph Adami , Arend Hintze

We study the evolution of cooperation in the spatial prisoner's dilemma game where players are allowed to establish new interactions with others. By employing a simple coevolutionary rule entailing only two crucial parameters, we find that…

Physics and Society · Physics 2011-12-30 Chunyan Zhang , Jianlei Zhang , Guangming Xie , Long Wang , Matjaz Perc

The complete cooperation and the complete defection are two typical strategies considered in evolutionary games in many previous works. However, in real life, strategies of individuals are full of variety rather than only two complete ones.…

Physics and Society · Physics 2025-01-03 Linya Huang , Wenchen Han

Game theory deals with strategic interactions among players and evolutionary game dynamics tracks the fate of the players' populations under selection. In this paper, we consider the replicator equation for two-player-two-strategy games…

Adaptation and Self-Organizing Systems · Physics 2021-02-22 Sourabh Mittal , Archan Mukhopadhyay , Sagar Chakraborty

In complex ecosystems such as microbial communities, there is constant ecological and evolutionary feedback between the residing species and the environment occurring on concurrent timescales. Species respond and adapt to their surroundings…

Populations and Evolution · Quantitative Biology 2023-10-17 Jim Wu , David J. Schwab , Trevor GrandPre

The emergence of mutual cooperation is studied in a spatially extended evolutionary prisoner's dilemma game in which the players are located on the sites of cubic lattices for dimensions d=1, 2, and 3. Each player can choose one of the…

Statistical Mechanics · Physics 2009-10-31 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

We perform individual-based Monte Carlo simulations in a community consisting of two predator species competing for a single prey species, with the purpose of studying biodiversity stabilization in this simple model system. Predators are…

Populations and Evolution · Quantitative Biology 2018-07-11 Sheng Chen , Ulrich Dobramysl , Uwe C. Täuber

Cooperation is the foundation of ecosystems and the human society, and the reinforcement learning provides crucial insight into the mechanism for its emergence. However, most previous work has mostly focused on the self-organization at the…

Physics and Society · Physics 2024-05-17 Zhen-Wei Ding , Guo-Zhong Zheng , Chao-Ran Cai , Wei-Ran Cai , Li Chen , Ji-Qiang Zhang , Xu-Ming Wang

Strong reciprocity is a fundamental human characteristic associated with our extraordinary sociality and cooperation. Laboratory experiments on social dilemma games and many field studies have quantified well-defined levels of cooperation…

Physics and Society · Physics 2007-11-21 D. Darcet , D. Sornette

We develop a mathematical model of extinction and coexistence in a generic predator-prey ecosystem composed of two herbivores in asymmetrical competition and a hunter exerting a predatory pressure on both species. With the aim of…

Adaptation and Self-Organizing Systems · Physics 2017-08-28 Marcelo N Kuperman , Fabiana Laguna , Guillermo Abramson , Adrian Monjeau. Jose Luis Lanata

In repeated interactions between individuals, we do not expect that exactly the same situation will occur from one time to another. Contrary to what is common in models of repeated games in the literature, most real situations may differ a…

Populations and Evolution · Quantitative Biology 2007-05-23 Anders Eriksson , Kristian Lindgren

We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are…

Physics and Society · Physics 2026-02-13 Joy Das Bairagya , Jonathan Newton , Sagar Chakraborty

The emergence and maintenance of cooperation has attracted intensive scholarly interest and has been analysed within the framework of evolutionary game theory. The role of innovation, which introduces novel strategies into the population,…

Physics and Society · Physics 2019-07-30 Hirofumi Takesue

In this work we study a weak Prisoner\^as Dilemma game in which both strategies and update rules are subjected to evolutionary pressure. Interactions among agents are specified by complex topologies, and we consider both homogeneous and…

Physics and Society · Physics 2010-11-13 A. Cardillo , J. Gomez-Gardenes , D. Vilone , A. Sanchez

Decision-making individuals are typically either an imitator, who mimics the action of the most successful individual(s), a conformist (or coordinating individual), who chooses an action if enough others have done so, or a nonconformist (or…

Dynamical Systems · Mathematics 2022-02-11 Hien Le , Mohaddeseh Rajaee , Pouria Ramazi

Evolutionary dynamics experienced by mixed microbial populations of cooperators and cheaters has been examined in experiments in the literature using a protocol of periodic dilution to investigate the properties of resilience and…

Biological Physics · Physics 2021-10-19 Vitor Hirata Sanches , Dhyan V. H. Kuraoka , Pedro R. de Almeida , Carla Goldman

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

Physics and Society · Physics 2010-10-14 Dirk Helbing , Anders Johansson
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