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Evolutionary game dynamics is one of the most fruitful frameworks for studying evolution in different disciplines, from Biology to Economics. Within this context, the approach of choice for many researchers is the so-called replicator…

Populations and Evolution · Quantitative Biology 2009-11-14 Carlos P. Roca , José A. Cuesta , Angel Sánchez

One could observe drastically different dynamics of zero-sum and non-zero-sum games under replicator equations. In zero-sum games, heteroclinic cycles naturally occur whenever the species of the population supersede each other in a cyclic…

Dynamical Systems · Mathematics 2022-08-03 Mansoor Saburov

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

We develop a flexible stochastic approximation framework for analyzing the long-run behavior of learning in games (both continuous and finite). The proposed analysis template incorporates a wide array of popular learning algorithms,…

Computer Science and Game Theory · Computer Science 2023-07-04 Panayotis Mertikopoulos , Ya-Ping Hsieh , Volkan Cevher

Leveraging tools from the study of linear fractional transformations and algebraic Riccati equations, a local characterization of consistent conjectural variations equilibrium is given for two player games on continuous action spaces with…

Computer Science and Game Theory · Computer Science 2023-06-07 Daniel J. Calderone , Benjamin J. Chasnov , Samuel A. Burden , Lillian J. Ratliff

This paper considers a class of reinforcement-based learning (namely, perturbed learning automata) and provides a stochastic-stability analysis in repeatedly-played, positive-utility, finite strategic-form games. Prior work in this class of…

Computer Science and Game Theory · Computer Science 2019-01-29 Georgios C. Chasparis

We consider the problem of distributed convergence to efficient outcomes in coordination games through dynamics based on aspiration learning. Under aspiration learning, a player continues to play an action as long as the rewards received…

Computer Science and Game Theory · Computer Science 2019-03-20 Georgios C. Chasparis , Ari Arapostathis , Jeff S. Shamma

Algorithmic game theory (AGT) focuses on the design and analysis of algorithms for interacting agents, with interactions rigorously formalized within the framework of games. Results from AGT find applications in domains such as online…

Computer Science and Game Theory · Computer Science 2017-10-23 Ian Gemp , Sridhar Mahadevan

In many multiagent settings, such as electric vehicle charging and traffic routing, agents must make decisions in the face of uncertain behavior exhibited by others. Often, this uncertainty arises from multiple sources, such as incomplete…

Computer Science and Game Theory · Computer Science 2026-04-28 Andreas Feik , Nicolas Lanzetti , Saverio Bolognani , Florian Dörfler , Dario Paccagnan

We propose a learning dynamics to model how strategic agents repeatedly play a continuous game while relying on an information platform to learn an unknown payoff-relevant parameter. In each time step, the platform updates a belief estimate…

Multiagent Systems · Computer Science 2023-11-02 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player continuous games. In such games, the arguably natural…

Computer Science and Game Theory · Computer Science 2020-11-10 Benjamin J. Chasnov , Daniel Calderone , Behçet Açıkmeşe , Samuel A. Burden , Lillian J. Ratliff

Characterizing the limit behavior -- that is, the attractors -- of learning dynamics is one of the most fundamental open questions in game theory. In recent work on this front, it was conjectured that the attractors of the replicator…

Computer Science and Game Theory · Computer Science 2026-03-06 Oliver Biggar , Christos Papadimitriou

The replicator equation is one of the fundamental tools to study evolutionary dynamics in well-mixed populations. This paper contributes to the literature on evolutionary graph theory, providing a version of the replicator equation for a…

Populations and Evolution · Quantitative Biology 2019-01-09 Daniele Cassese

People tend to align their use of language to the linguistic behaviour of their own ingroup and to simultaneously diverge from the language use of outgroups. This paper proposes to model this phenomenon of sociolinguistic identity…

Physics and Society · Physics 2020-11-25 Henri Kauhanen

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

Computer Science and Game Theory · Computer Science 2026-05-28 Bharat Gangwani , Arunesh Sinha

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 this work we assess the role played by the dynamical adaptation of the interactions network, among agents playing Coordination Games, in reaching global coordination and in the equilibrium selection. Specifically, we analyze a…

Physics and Society · Physics 2023-02-20 Miguel A. González Casado , Angel Sánchez , Maxi San Miguel

Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

Computer Science and Game Theory · Computer Science 2015-05-27 Paolo Galeazzi , Michael Franke

Publishers who publish their content on the web act strategically, in a behavior that can be modeled within the online learning framework. Regret, a central concept in machine learning, serves as a canonical measure for assessing the…

Computer Science and Game Theory · Computer Science 2025-01-30 Omer Madmon , Idan Pipano , Itamar Reinman , Moshe Tennenholtz

This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

Optimization and Control · Mathematics 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson