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We study the fragmentation-coagulation (or merging and splitting) evolutionary control model as introduced recently by one of the authors, where $N$ small players can form coalitions to resist to the pressure exerted by the principal. It is…

Optimization and Control · Mathematics 2022-05-03 Alekos Cecchin , Vassili N. Kolokoltsov

Recent work from the reinforcement learning community has shown that Evolution Strategies are a fast and scalable alternative to other reinforcement learning methods. In this paper we show that Evolution Strategies are a special case of…

Multiagent Systems · Computer Science 2018-08-14 David D. Fan , Evangelos Theodorou , John Reeder

Evolutionary game theory has been a successful tool to combine classical game theory with learning-dynamical descriptions in multiagent systems. Provided some symmetric structures of interacting players, many studies have been focused on…

Artificial Intelligence · Computer Science 2022-06-23 Xinyu Zhang , Peng Peng , Yushan Zhou , Haifeng Wang , Wenxin Li

Evolutionary game theory is a powerful mathematical framework to study how intelligent individuals adjust their strategies in collective interactions. It has been widely believed that it is impossible to unilaterally control players'…

Optimization and Control · Mathematics 2021-08-31 Renfei Tan , Qi Su , Bin Wu , Long Wang

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

We have studied a spatially extended snowdrift game, in which the players are located on the sites of two-dimensional square lattices and repeatedly have to choose one of the two strategies, either cooperation (C) or defection (D). A player…

Biological Physics · Physics 2009-11-10 Marko Sysi-Aho , Jari Saramaki , Janos Kertesz , Kimmo Kaski

Evolutionary game theory has proved to be a powerful tool to probe the self-organisation of collective behaviour by considering frequency-dependent fitness in evolutionary processes. It has shown that the stability of a strategy depends not…

Populations and Evolution · Quantitative Biology 2023-01-11 Diogo L. Pires , Mark Broom

In this work we propose a kinetic formulation for evolutionary game theory for zero sum games when the agents use mixed strategies. We start with a simple adaptive rule, where after an encounter each agent increases the probability of play…

Analysis of PDEs · Mathematics 2020-06-16 Juan Pablo Pinasco , Mauro Rodriguez-Cartabia , Nicolas Saintier

This paper considers offline multi-agent reinforcement learning. We propose the strategy-wise concentration principle which directly builds a confidence interval for the joint strategy, in contrast to the point-wise concentration principle…

Machine Learning · Computer Science 2022-10-17 Qiwen Cui , Simon S. Du

The predominant paradigm in evolutionary game theory and more generally online learning in games is based on a clear distinction between a population of dynamic agents that interact given a fixed, static game. In this paper, we move away…

Computer Science and Game Theory · Computer Science 2020-12-16 Stratis Skoulakis , Tanner Fiez , Ryann Sim , Georgios Piliouras , Lillian Ratliff

We discuss a model for evolutionary game dynamics in a growing, network-structured population. In our model, new players can either make connections to random preexisting players or preferentially attach to those that have been successful…

Physics and Society · Physics 2015-05-13 J. Poncela , J. Gomez-Gardenes , A. Traulsen , Y. Moreno

To investigate the origin of cooperative behaviors, we developed an evolutionary model of sequential strategies and tested our model with computer simulations. The sequential strategies represented by stochastic machines were evaluated…

Computer Science and Game Theory · Computer Science 2021-01-12 Jin Hong Kuan , Aadesh Salecha

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

We investigate the spatial distribution and the global frequency of agents who can either cooperate or defect. The agent interaction is described by a deterministic, non-iterated prisoner's dilemma game, further each agent only locally…

Statistical Mechanics · Physics 2007-05-23 Frank Schweitzer , Laxmidhar Behera , Heinz Muehlenbein

A cellular automaton in which cells represent agents playing the Prisoner's Dilemma (PD) game following the simple "win-stay, loose-shift" strategy is studied. Individuals with binary behavior, such as they can either cooperate (C) or…

Statistical Mechanics · Physics 2009-11-10 H. Fort , S. Viola

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

We propose and study an evolutionary minority game (EMG) in which the agents are allowed to choose among three possible options. Unlike the original EMG where the agents either win or lose one unit of wealth, the present model assigns one…

Statistical Mechanics · Physics 2007-05-23 Hong-Jun Quan , P. M. Hui , C. Xu , K. F Yip

Elucidating the mechanisms that lead to cooperation is still one of the main scientific challenges of current times, as many common cooperative scenarios remain elusive and at odds with Darwin's natural selection theory. Here, we study…

Physics and Society · Physics 2021-07-14 H. Guo , D. Jia , I. Sendiña-Nadal , M. Zhang , Z. Wang , X. Li , K. Alfaro-Bittner , Y. Moreno , S. Boccaletti

The paper presents a model of two-speed evolution in which the payoffs in the population game (or, alternatively, the individual preferences) slowly adjust to changes in the aggregate behavior of the population. The model investigates how,…

Theoretical Economics · Economics 2021-06-16 George Loginov

We use the indirect evolutionary approach to study evolutionarily stable preferences against multiple mutations in single- and multi-population matching settings, respectively. Players choose strategies to maximize their subjective…

Computer Science and Game Theory · Computer Science 2025-07-08 Yu-Sung Tu , Wei-Torng Juang