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In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play…

Logic · Mathematics 2015-07-01 Stephane Le Roux

We characterize Nash equilibrium by postulating coherent behavior across varying games. Nash equilibrium is the only solution concept that satisfies the following axioms: (i) strictly dominant actions are played with positive probability,…

Theoretical Economics · Economics 2024-07-02 Florian Brandl , Felix Brandt

Multiagent learning settings are inherently more difficult than single-agent learning because each agent interacts with other simultaneously learning agents in a shared environment. An effective approach in multiagent reinforcement learning…

Computer Science and Game Theory · Computer Science 2022-10-31 Dong-Ki Kim , Matthew Riemer , Miao Liu , Jakob N. Foerster , Gerald Tesauro , Jonathan P. How

In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game over generally connected networks. This model differs from a conventional setting in that players have partial information on the actions of their…

Optimization and Control · Mathematics 2019-12-10 Farzad Salehisadaghiani , Wei Shi , Lacra Pavel

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

Optimization and Control · Mathematics 2024-10-30 Dian Gadjov , Lacra Pavel

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

Computer Science and Game Theory · Computer Science 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Many real-world systems are composed of interdependent networks that rely on one another. Such networks are typically designed and operated by different entities, who aim at maximizing their own payoffs. There exists a game among these…

Physics and Society · Physics 2017-03-08 Yuhang Fan , Gongze Cao , Shibo He , Jiming Chen , Youxian Sun

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

In response to a change, individuals may choose to follow the responses of their friends or, alternatively, to change their friends. To model these decisions, consider a game where players choose their behaviors and friendships. In…

Social and Information Networks · Computer Science 2020-06-23 Anton Badev

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

Optimization and Control · Mathematics 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agent updates its real-valued opinion about each available…

Physics and Society · Physics 2021-11-24 Shinkyu Park , Anastasia Bizyaeva , Mari Kawakatsu , Alessio Franci , Naomi Ehrich Leonard

Opinion dynamics models how the publicly expressed opinions of users in a social network coevolve according to their neighbors as well as their own intrinsic opinion. Motivated by the real-world manipulation of social networks during the…

Social and Information Networks · Computer Science 2026-01-22 Akhil Jalan , Marios Papachristou

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

Establishing the existence of Nash equilibria for partially observed stochastic dynamic games is known to be quite challenging, with the difficulties stemming from the noisy nature of the measurements available to individual players…

Systems and Control · Computer Science 2018-06-06 Naci Saldi , Tamer Basar , Maxim Raginsky

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 this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

Systems and Control · Electrical Eng. & Systems 2021-12-17 Zhenhua Deng , Jin Luo

The process by which new ideas, innovations, and behaviors spread through a large social network can be thought of as a networked interaction game: Each agent obtains information from certain number of agents in his friendship neighborhood,…

Computer Science and Game Theory · Computer Science 2012-08-28 Javad Ghaderi , R. Srikant

Examining the behavior of multi-agent systems is vitally important to many emerging distributed applications - game theory has emerged as a powerful tool set in which to do so. The main approach of game-theoretic techniques is to model…

Computer Science and Game Theory · Computer Science 2024-06-03 Rohit Konda , Rahul Chandan , Jason Marden

We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

Physics and Society · Physics 2016-03-23 Marco Alberto Javarone