Hamiltonian Evolutionary Games
Dynamical Systems
2015-08-21 v2 Symplectic Geometry
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.
Cite
@article{arxiv.1404.5900,
title = {Hamiltonian Evolutionary Games},
author = {Hassan Najafi Alishah and Pedro Duarte},
journal= {arXiv preprint arXiv:1404.5900},
year = {2015}
}
Comments
23 pages, one figure