6533b85bfe1ef96bd12bbdc9

RESEARCH PRODUCT

Population Games with Vector Payoff and Approachability

Dario BausoThomas W. L. Norman

subject

Computer Science::Computer Science and Game Theoryeducation.field_of_studyDistribution (number theory)Computer scienceStochastic gamePopulationMathematicsofComputing_NUMERICALANALYSISComputingMilieux_PERSONALCOMPUTINGTheoryofComputation_GENERALApproachabilityStrategyBest responseRepeated gameeducationGame theoryMathematical economics

description

This paper studies population games with vector payoffs. It provides a new perspective on approachability based on mean-field game theory. The model involves a Hamilton-Jacobi-Bellman equation which describes the best-response of every player given the population distribution and an advection equation, capturing the macroscopic evolution of average payoffs if every player plays its best response.

https://doi.org/10.1007/978-3-319-20430-7_31