6533b839fe1ef96bd12a5d0e

RESEARCH PRODUCT

Opinion dynamics, stubbornness and mean-field games

Raffaele PesentiDario Bauso

subject

mean-field games; optimal controlFunction (mathematics)Exponential densitymean-field gamesoptimal controlSettore ING-INF/04 - AutomaticaOpinion dynamicsMean field theoryApplied mathematicsAffine transformationSettore MAT/09 - Ricerca OperativaMathematical economicsGame theoryMathematics

description

This paper studies opinion dynamics and stubbornness using mean-field game theory. Assuming an initial exponential density function and affine control policies we analyze under what conditions the Fokker-Planck equation returns an exponential density function over the horizon. Consensus and clusters formation are also studied.

yearjournalcountryeditionlanguage
2014-12-0153rd IEEE Conference on Decision and Control
https://doi.org/10.1109/cdc.2014.7039928