Hamiltonians which are induced from anti-symmetric replicator equations

被引：1

作者：

Watanabe, N

Togawa, Y

Sawada, K

机构：

[1] Waseda Univ, Sch Commerce, Shinjuku Ku, Tokyo, Japan

[2] Nihon Univ, Coll Ind Technol, Dept Math, Chiba, Japan

[3] Sci Univ Tokyo, Fac Sci & Technol, Dept Informat Sci, Chiba 2641, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 36卷 / 05期

关键词：

replicator equation; symplectic structure; Hamiltonian;

D O I：

10.1016/S0362-546X(98)00164-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：655 / 660

页数：6

共 5 条

[1] EVOLUTIONARY DYNAMICS OF ZERO-SUM GAMES [J].