TY - JOUR
T1 - Hamiltonians which are induced from anti-symmetric replicator equations
AU - Watanabe, Nobuya
AU - Togawa, Yoshio
AU - Sawada, Ken
PY - 1999/6/1
Y1 - 1999/6/1
N2 - 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.
AB - 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.
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U2 - 10.1016/S0362-546X(98)00164-3
DO - 10.1016/S0362-546X(98)00164-3
M3 - Article
AN - SCOPUS:0032687764
SN - 0362-546X
VL - 36
SP - 655
EP - 660
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 5
ER -