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We investigate a multi-agent decision problem in population games where each agent in a population makes a decision on strategy selection and revision to engage in repeated games with others. The strategy revision is subject to time delays…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Shinkyu Park

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

Multiagent Systems · Computer Science 2024-09-17 Shinkyu Park

We analyze the stability of a nonlinear dynamical model describing the noncooperative strategic interactions among the agents of a finite collection of populations. Each agent selects one strategy at a time and revises it repeatedly…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Murat Arcak , Nuno C. Martins

Precise description of population game dynamics introduced by revision protocols - an economic model describing the agent's propensity to switch to a better-performing strategy - is of importance in economics and social sciences in general.…

Dynamical Systems · Mathematics 2025-04-22 Jakub Bielawski , Łukasz Cholewa , Fryderyk Falniowski

We report on new stability conditions for evolutionary dynamics in the context of population games. We adhere to the prevailing framework consisting of many agents, grouped into populations, that interact noncooperatively by selecting…

Populations and Evolution · Quantitative Biology 2021-07-08 Semih Kara , Nuno C. Martins

In population games, a large population of players, modeled as a continuum, is divided into subpopulations, and the fitness or payoff of each subpopulation depends on the overall population composition. Evolutionary dynamics describe how…

Optimization and Control · Mathematics 2016-09-19 M. A. Mabrok , Jeff Shamma

We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism -- encompassing the replicator dynamics -- is that players belonging…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Giacomo Como , Fabio Fagnani , Lorenzo Zino

In order to understand if and how strategic resource allocation can constrain the structure of pair-wise competition outcomes in competitive human competitions we introduce a new multiplayer resource allocation game, the Population Lotto…

Computer Science and Game Theory · Computer Science 2022-09-02 Giovanni Artiglio , Aiden Youkhana , Joel Nishimura

Real populations are seldom found at the Nash equilibrium strategy. The present work focuses on how population size can be a relevant evolutionary force diverting the population from its expected Nash equilibrium. We introduce the concept…

Computer Science and Game Theory · Computer Science 2025-06-24 Fabio A. C. C. Chalub , Max O. Souza

We use system-theoretic passivity methods to study evolutionary Nash equilibria learning in large populations of agents engaged in strategic, non-cooperative interactions. The agents follow learning rules (rules for short) that capture…

Computer Science and Game Theory · Computer Science 2024-08-02 Nuno C. Martins , Jair Certório , Matthew S. Hankins

We consider evolutionary games on a population whose underlying topology of interactions is determined by a binomial random graph $G(n,p)$. Our focus is on 2-player symmetric games with 2 strategies played between the incident members of…

Combinatorics · Mathematics 2020-11-30 Jordan Chellig , Calina Durbac , Nikolaos Fountoulakis

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

We initiate the study of game dynamics in the population protocol model: $n$ agents each maintain a current local strategy and interact in pairs uniformly at random. Upon each interaction, the agents play a two-person game and receive a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Dan Alistarh , Krishnendu Chatterjee , Mehrdad Karrabi , John Lazarsfeld

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

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

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 study a complementarity game as a systematic tool for the investigation of the interplay between individual optimization and population effects and for the comparison of different strategy and learning schemes. The game randomly pairs…

Populations and Evolution · Quantitative Biology 2010-11-17 Juergen Jost , Wei Li

We study the repeated congestion game, in which multiple populations of players share resources, and make, at each iteration, a decentralized decision on which resources to utilize. We investigate the following question: given a model of…

Machine Learning · Computer Science 2014-08-04 Walid Krichene , Benjamin Drighès , Alexandre M. Bayen

We study a multi-agent decision problem in large population games. Agents from multiple populations select strategies for repeated interactions with one another. At each stage of these interactions, agents use their decision-making model to…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Shinkyu Park , Naomi Ehrich Leonard

Dynamic nonzero sum games are widely used to model multi agent decision making in control, economics, and related fields. Classical methods for computing Nash equilibria, especially in linear quadratic settings, rely on strong structural…

Neural and Evolutionary Computing · Computer Science 2026-01-07 Alireza Rezaee
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