Codice  QDD218 
Titolo  Bifurcation and segregation in quadratic twopopulations Mean Field Games systems 
Data  20151130 
Autore/i  Cirant, M.; Verzini, G. 
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Abstract  We consider a twopopulations ergodic Mean Field Games system, which describes Nash equilibria in differential games with identical players. In these models, each population consists of a very large number of indistinguishable rational agents, aiming at minimizing some longtime average criterion. Via the HopfCole transformation, such system reduces to a semilinear elliptic one, for normalized densities. Firstly, we discuss existence of nontrivial solutions; secondly, for selected families of nontrivial solutions, we address the appearing of segregation in the vanishing viscosity limit. 
