Research projects

Project CEMAPRE internal

TitleDynamics on polytopes and polymatrix replicators
ParticipantsHassan N. Alishah, Pedro M. Duarte, Telmo Peixe (Principal Investigator), Alexandre Rodrigues
SummaryEvolutionary game theory provides many examples of ordinary differential equations where the phase
space is a polytope. A computational technique to analyze the asymptotic dynamics along the
heteroclinic network formed by the edges and vertices of the polytope has been developed by P.
Duarte (2011), and H. Alishah, P. Duarte and T. Peixe (2015, 2020). A particular class of such
ordinary differential equations defined on polytopes is the polymatrix replicators, which includes
well known classes of evolutionary game dynamics, such as the symmetric and asymmetric games
associated to replicator equations.