6533b839fe1ef96bd12a6541

RESEARCH PRODUCT

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

Hamidou TembineDario BausoTamer Basar

subject

Stochastic controlContinuous-time stochastic processMathematical optimizationSocial networkStochastic processbusiness.industryControl (management)mean field gamesRobust controlStochastic neural networkbusinessGame theoryMathematical economicsMathematics

description

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.

http://hdl.handle.net/10447/120202