The existence of an anti-symmetric replicator dynamics for any linear map T:R2m → Rn and constants ki's is proven. For this purpose, the study of anti-symmetric replicator dynamics is reduced to the study of a family of Hamiltonian dynamics with Hamiltonian determined by T and ki's. The convexity of Hamiltonian function hT confirms the existence of such dynamics.
|Number of pages
|Nonlinear Analysis, Theory, Methods and Applications
|Published - 1999 Jun 1
ASJC Scopus subject areas
- Applied Mathematics