6533b86cfe1ef96bd12c88f5
RESEARCH PRODUCT
A two-point boundary value formulation of a mean-field crowd-averse game
Dario BausoAlessandro AstolfiThulasi Mylvaganamsubject
education.field_of_studyMathematical optimizationPartial differential equationExample of a game without a valueOrdinary differential equationNormal-form gamePopulationApplied mathematicsBoundary value problemeducationGame theoryImplementation theoryMathematicsdescription
Abstract We consider a population of “crowd-averse” dynamic agents controlling their states towards regions of low density. This represents a typical dissensus behavior in opinion dynamics. Assuming a quadratic density distribution, we first introduce a mean-field game formulation of the problem, and then we turn the game into a two-point boundary value problem. Such a result has a value in that it turns a set of coupled partial differential equations into ordinary differential equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 | IFAC Proceedings Volumes |