Project CEMAPRE internal
|Title||Dynamics on polytopes and polymatrix replicators|
|Participants||Hassan N. Alishah, Pedro M. Duarte, Telmo Peixe (Principal Investigator), Alexandre Rodrigues|
|Summary||Evolutionary 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.