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arXiv · 1404.5900

Hamiltonian Evolutionary Games

Hassan Najafi Alishah·Pedro Duarte
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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.

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Hassan Najafi Alishah, Pedro Duarte. 2014-04-23. Hamiltonian Evolutionary Games. https://doi.org/10.3934/jdg.2015.2.33

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