Title of article :
A zero sum differential game in a Hilbert space
Author/Authors :
Mrinal K. Ghosh، نويسنده , , A.K. Nandakumaran، نويسنده , , K.S. Mallikarjuna Rao، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2003
Abstract :
We study a zero sum differential game of fixed duration in a separable Hilbert space. We prove
a minimax principle and establish the equivalence between the dynamic programming principle and
the existence of a saddle point equilibrium. We also prove sufficient conditions for optimality.
2003 Elsevier Inc. All rights reserved
Keywords :
differential games , Optimal strategy , Saddle point equilibrium , Hamilton–Jacobi–Isaacs equation , Minimax principle
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
