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
Pages
13
From page
167
To page
179
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
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930659
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