Robust linear quadratic mean-field games in crowd-seeking social networks

Hamidou Tembiné · Dario Bauso · Tamer Başar

20 citations0/0 files storedIEEE Conference on Decision and Control (CDC)

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Stochastic processes and financial applications Game Theory and Applications Opinion Dynamics and Social Influence

Abstract

We consider a social network where opinions evolve following a stochastic averaging process under the influence of adversarial disturbances. We provide a robust mean-field game model in the spirit of H∞-optimal control, establish existence of a mean-field equilibrium, and analyze its stochastic stability.

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2007Mean field games 2007Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria 1997Dynamic noncooperative game theory 2010Mean Field Games and Applications 2012Mean Field Games: Numerical Methods for the Planning Problem 2012Explicit solutions of some linear-quadratic mean field games 2010COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS 2009Mean field asymptotics of Markov Decision Evolutionary Games and teams

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