Research projects

Project CEMAPRE internal

TitleThe occurrence of Switching on Polymatrix Replicators
ParticipantsTelmo Peixe (Principal Investigator)
SummaryEvolutionary Game Theory provides many examples of ordinary differential equations where the phase
space is a polytope. Techniques 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), H. Alishah,
P. Duarte and T. Peixe (2015, 2020), and T. Peixe and A. Rodrigues (2022). The polymatrix replicator
is a particular class of such ordinary differential equations defined on polytopes. Many properties
of the polymatrix replicators have been studied: Permanence in polymatrix replicators by T. Peixe
(2021); Asymptotic Dynamics of Hamiltonian Polymatrix Replicators by H. Alishah, P. Duarte and T.
Peixe (preprint 2021); Persistent strange attractors in 3D Polymatrix Replicators by T. Peixe and A.
Rodrigues (2022).