Research projects

Project CEMAPRE internal

TitleDynamics on polytopes and polymatrix replicators
ParticipantsHassan Alishah, Pedro Duarte, Telmo Peixe (Principal Investigator)
SummaryEvolutionary game theory provides many examples of ODEs and flows where the phase space is a
A computational technique to analyze the asymptotic dynamics along the polytope's edges has been
developed by Duarte (2011), and Alishah, Duarte and Peixe (
A particular class of such ODEs defined on polytopes is the polymatrix replicators (see Alishah
Duarte(2015) and Alishah, Duarte and Peixe (2015)), which includes well known classes of
evolutionary game dynamics, such as the symmetric and asymmetric games associated to replicator
We aim to expand and make these techniques user friendlier in order to disseminate their
Moreover, we want to study the properties of the polymatrix replicators and the associated
polymatrix games.