Ghosh, Mrinal K. ; Nandakumaran, A. K. ; Mallikarjuna Rao, K. S. (2003) A zero sum differential game in a Hilbert space Journal of Mathematical Analysis and Applications, 283 (1). pp. 167-179. ISSN 0022-247X
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Official URL: http://dx.doi.org/10.1016/S0022-247X(03)00266-X
Related URL: http://dx.doi.org/10.1016/S0022-247X(03)00266-X
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Differential Games; Optimal Strategy; Saddle Point Equilibrium; Hamilton-Jacobi-Isaacs Equation; Minimax Principle |
| ID Code: | 11864 |
| Deposited On: | 13 Nov 2010 13:46 |
| Last Modified: | 02 Jun 2011 07:38 |
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