Asymptotic Dynamics of Hamiltonian Polymatrix Replicators
Dynamical Systems
2021-10-15 v2 Symplectic Geometry
Abstract
In a previous paper [3] we have studied flows defined on polytopes, presenting a new method to encapsulate its asymptotic dynamics along the edge-vertex heteroclinic network. These results apply to the class of polymatrix replicator systems, which contains several important models in Evolutionary Game Theory. Here we establish the Hamiltonian character of the asymptotic dynamics of Hamiltonian polymatrix replicators.
Cite
@article{arxiv.2102.12008,
title = {Asymptotic Dynamics of Hamiltonian Polymatrix Replicators},
author = {Hassan Najafi Alishah and Pedro Duarte and Telmo Peixe},
journal= {arXiv preprint arXiv:2102.12008},
year = {2021}
}
Comments
Some notations are simplified with respect to the first version and some minor errors are fixed