2021/02/24 by Hassan Najafi Alishah, Pedro Duarte, Alishah, Hassan Najafi +3
Decision Sciences · Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #Game Theory and Applications #Graph #Hamiltonian (control theory) #Hamiltonian system #Mathematical optimization #Mathematical physics #Mathematics #Opinion Dynamics and Social Influence #Physics #Polytope #Replicator equation #Statistical physics #Symplectic Geometry (math.SG) #Vertex (graph theory) #math.DS #math.SG
paper · pdf · doi:10.48550/arxiv.2102.12008
published in arXiv (Cornell University) (Cornell University) · Some notations are simplified with respect to the first version and some minor errors are fixed
openalex publication_date 2021/02/24 · arxiv created 2021/10/14 · arxiv updated 2021/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.