Show simple item record

dc.contributor.authorGomes, Diogo A.
dc.contributor.authorRibeiro, Ricardo de Lima
dc.date.accessioned2015-08-04T07:17:42Z
dc.date.available2015-08-04T07:17:42Z
dc.date.issued2013-12
dc.identifier.isbn9781467357173
dc.identifier.issn01912216
dc.identifier.doi10.1109/CDC.2013.6760258
dc.identifier.urihttp://hdl.handle.net/10754/564832
dc.description.abstractIn its standard form, a mean-field game can be defined by coupled system of equations, a Hamilton-Jacobi equation for the value function of agents and a Fokker-Planck equation for the density of agents. Traditionally, the latter equation is adjoint to the linearization of the former. Since the Fokker-Planck equation models a population dynamic, we introduce natural features such as seeding and birth, and nonlinear death rates. In this paper we analyze a stationary meanfield game in one dimension, illustrating various techniques to obtain regularity of solutions in this class of systems. In particular we consider a logistic-type model for birth and death of the agents which is natural in problems where crowding affects the death rate of the agents. The introduction of these new terms requires a number of new ideas to obtain wellposedness. In a forthcoming publication we will address higher dimensional models. ©2013 IEEE.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.titleMean-field games with logistic population dynamics
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journal52nd IEEE Conference on Decision and Control
dc.conference.date10 December 2013 through 13 December 2013
dc.conference.name52nd IEEE Conference on Decision and Control, CDC 2013
dc.conference.locationFlorence
dc.contributor.institutionDepartamento de Mateḿatica, Center for Mathematical Analysis, Geometry, and Dynamical Systems, Instituto Superior Técnico, 1049-001 Lisboa, Portugal
dc.contributor.institutionDepartamento de Mateḿatica Aplicada, Ministry of Education of Brazil, IME - USP and CAPES Foundation, Brasília DF 70040-020, Brazil
kaust.personGomes, Diogo A.


This item appears in the following Collection(s)

Show simple item record