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Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

We study an independent best-response dynamics on network games in which the nodes (players) decide to revise their strategies independently with some probability. We provide several bounds on the convergence time to an equilibrium as a…

Computer Science and Game Theory · Computer Science 2019-02-07 Paolo Penna , Laurent Viennot

The probability that the frequency of a particular trait will eventually become unity, the so-called fixation probability, is a central issue in the study of population evolution. Its computation, once we are given a stochastic finite…

Populations and Evolution · Quantitative Biology 2018-11-22 Fabio A. C. C. Chalub , Max O. Souza

This paper studies social interactions in a game theoretic model with players in a large social network. We consider observations from one single equilibrium of a large network game with asymmetric information, in which each player chooses…

Methodology · Statistics 2018-03-20 Haiqing Xu

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

Matrix games like Prisoner's Dilemma have guided research on social dilemmas for decades. However, they necessarily treat the choice to cooperate or defect as an atomic action. In real-world social dilemmas these choices are temporally…

Multiagent Systems · Computer Science 2017-02-13 Joel Z. Leibo , Vinicius Zambaldi , Marc Lanctot , Janusz Marecki , Thore Graepel

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

We consider an integro-differential model for evolutionary game theory which describes the evolution of a population adopting mixed strategies. Using a reformulation based on the first moments of the solution, we prove some analytical…

Populations and Evolution · Quantitative Biology 2011-12-19 A. Boccabella , R. Natalini , L. Pareschi

Since Press and Dyson's ingenious discovery of ZD (zero-determinant) strategy in the repeated Prisoner's Dilemma game, several studies have confirmed the existence of ZD strategy in repeated multiplayer social dilemmas. However, few…

Populations and Evolution · Quantitative Biology 2021-09-15 Fang Chen , Te Wu , Long Wang

One strategy for winning a coevolutionary struggle is to evolve rapidly. Most of the literature on host-pathogen coevolution focuses on this phenomenon, and looks for consequent evidence of coevolutionary arms races. An alternative…

Populations and Evolution · Quantitative Biology 2014-12-17 Erick Chastain , Rustom Antia , Carl T. Bergstrom

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

Computer Science and Game Theory · Computer Science 2026-02-04 Melih İşeri , Erhan Bayraktar

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

Costly cooperation and costly signaling are both difficult to reconcile with simple fitness maximization, yet both are common in biological and social systems. We study a model in which agents emit costly signals and condition their actions…

Physics and Society · Physics 2026-05-14 Mahdi Abolhasani , Saman Moghimi-Araghi , Mohammad Salahshour

The recent COVID-19 pandemic has led to an increasing interest in the modeling and analysis of infectious diseases. The pandemic has made a significant impact on the way we behave and interact in our daily life. The past year has witnessed…

Computer Science and Game Theory · Computer Science 2021-06-17 Shutian Liu , Yuhan Zhao , Quanyan Zhu

Modern control systems are featured by their hierarchical structure composing of cyber, physical, and human layers. The intricate dependencies among multiple layers and units of modern control systems require an integrated framework to…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Yunhan Huang , Juntao Chen , Linan Huang , Quanyan Zhu

Distributed adaptive filtering has been considered as an effective approach for data processing and estimation over distributed networks. Most existing distributed adaptive filtering algorithms focus on designing different information…

Computer Science and Game Theory · Computer Science 2015-06-12 Chunxiao Jiang , Yan Chen , K. J. Ray Liu

Multiplayer games on graphs are at the heart of theoretical descriptions of key evolutionary processes that govern vital social and natural systems. However, a comprehensive theoretical framework for solving multiplayer games with an…

Computer Science and Game Theory · Computer Science 2025-06-11 Chaoqian Wang , Matjaž Perc , Attila Szolnoki

As humans perceive and actively engage with the world, we adjust our decisions in response to shifting group dynamics and are influenced by social interactions. This study aims to identify which aspects of interaction affect…

Physics and Society · Physics 2024-12-23 Lucila G. Alvarez-Zuzek , Laura Ferrarotti , Bruno Lepri , Riccardo Gallotti

We study the evolution of behavior under reinforcement learning in a Prisoner's Dilemma where agents interact in a regular network and can learn about whether they play one-shot or repeatedly by incurring a cost of deliberation. With…

Physics and Society · Physics 2024-03-28 Rossana Mastrandrea , Leonardo Boncinelli , Ennio Bilancini

Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the Best Reply Strategy have been proposed. They assume that the agents…

Optimization and Control · Mathematics 2014-12-24 Pierre Degond , Michael Herty , Jian-Guo Liu
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