Hassan Najafi Alishah - Departamento de Matemática and CAMGSD, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal (email)
Abstract: We introduce a class of o.d.e.'s that generalizes to polymatrix games the replicator equations on symmetric and asymmetric games. We also introduce a new class of Poisson structures on the phase space of these systems, and characterize the corresponding subclass of Hamiltonian polymatrix replicator systems. This extends known results for symmetric and asymmetric replicator systems.
Keywords: Evolutionary games, Hamiltonian polymatrix replicator equation, poisson Hamiltonian systems.
Received: May 2014; Revised: February 2015; Available Online: June 2015.