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In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is…

Optimization and Control · Mathematics 2020-11-18 Wouter Baar , Dario Bauso

This tutorial article puts forth a framework to analyze the noncooperative strategic interactions among the members of a large population of bounded rationality agents. Our approach hinges on, unifies and generalizes existing methods and…

Optimization and Control · Mathematics 2020-07-15 Shinkyu Park , Nuno C. Martins , Jeff S. Shamma

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

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

To our knowledge, the populations are generally assumed to be homogeneous in the traditional approach to evolutionary game dynamics. Here, we focus on the inhomogeneous populations. A simple model which can describe the inhomogeneity of the…

Physics and Society · Physics 2007-05-23 Xiaojie Chen , Feng Fu , Long Wang , Tianguang Chu

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 study effects of strategy-dependent time delays on equilibria of evolving populations. It is well known that time delays may cause oscillations in dynamical systems. Here we report a novel behavior. We show that microscopic models of…

Populations and Evolution · Quantitative Biology 2021-04-13 Jacek Miȩkisz , Marek Bodnar

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which the decisions of a population of strategically interacting agents determine the transmission rate. Specifically, the…

Dynamical Systems · Mathematics 2022-01-26 Nuno C. Martins , Jair Certorio , Richard J. La

This letter establishes a novel relationship between a class of recurrent neural networks and certain evolutionary dynamics that emerge in the context of population games. Specifically, it is shown that the output of a recurrent neural…

Optimization and Control · Mathematics 2023-12-08 Julian Barreiro-Gomez , Jorge I. Poveda

Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level of the system as a whole are phenomena that appear during…

adap-org · Physics 2007-05-23 Vivek S. Borkar , Sanjay Jain , Govindan Rangarajan

This paper deals with modeling of network's dynamic using evolutionary games approach. Today there are many different protocols for data transmission through the Internet, providing users with better or worse service. The process of…

Computer Science and Game Theory · Computer Science 2017-08-02 Oleksii Ignatenko , Oleksandr Synetskyi

We consider evolutionary dynamics for population games in which players have a continuum of strategies at their disposal. Models in this setting amount to infinite-dimensional differential equations evolving on the manifold of probability…

Dynamical Systems · Mathematics 2025-04-23 Brendon G. Anderson , Jingqi Li , Somayeh Sojoudi , Murat Arcak

Feedback loops between population dynamics of individuals and their ecological environment are ubiquitously found in nature, and have shown profound effects on the resulting eco-evolutionary dynamics. Incorporating linear environmental…

Physics and Society · Physics 2020-07-01 Xin Wang , Zhiming Zheng , Feng Fu

In social dilemmas, individuals face a conflict between their own self-interest and the collective interest of the group. The provision of reward has been shown to be an effective means to drive cooperation in such situations. However,…

Physics and Society · Physics 2023-08-21 Shijia Hua , Linjie Liu

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

Dynamics of a social population is analyzed taking into account some physical constraints on individual behavior and decision making abilities. The model, based on Evolutionary Game Theory, predicts that a population has to pass through a…

Populations and Evolution · Quantitative Biology 2007-05-23 Alex Feigel

Although learning has found wide application in multi-agent systems, its effects on the temporal evolution of a system are far from understood. This paper focuses on the dynamics of Q-learning in large-scale multi-agent systems modeled as…

Multiagent Systems · Computer Science 2022-03-04 Shuyue Hu , Chin-Wing Leung , Ho-fung Leung , Harold Soh

Emerging applications in engineering such as crowd-sourcing and (mis)information propagation involve a large population of heterogeneous users or agents in a complex network who strategically make dynamic decisions. In this work, we…

Computer Science and Game Theory · Computer Science 2015-03-30 Yezekael Hayel , Quanyan Zhu

It is known that learning of players who interact in a repeated game can be interpreted as an evolutionary process in a population of ideas. These analogies have so far mostly been established in deterministic models, and memory loss in…

Populations and Evolution · Quantitative Biology 2018-04-09 Robin Nicole , Peter Sollich , Tobias Galla

Evolutionary game dynamics are often studied in the context of different population structures. Here we propose a new population structure that is inspired by simple multicellular life forms. In our model, cells reproduce but can stay…

Populations and Evolution · Quantitative Biology 2016-05-26 Kamran Kaveh , Carl Veller , Martin A. Nowak