Ghosh, M. K. ; Shaiju, A. J. (2004) Existence of value and saddle point in infinite-dimensional differential games Journal of Optimization Theory and Applications, 121 (2). pp. 301-325. ISSN 0022-3239
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Official URL: http://www.springerlink.com/index/j017243554777u91...
Related URL: http://dx.doi.org/10.1023/B:JOTA.0000037407.15482.72
Abstract
We study two-player zero-sum differential games of finite duration in a Hilbert space. Following the Berkovitz notion of strategies, we prove the existence of value and saddle-point equilibrium. We characterize the value as the unique viscosity solution of the associated Hamilton-Jacobi-Isaacs equation using dynamic programming inequalities.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Differential Games; Existence of Value; Hamilton-jacobi-isaacs Equation; Viscosity Solutions; Saddle-point Equilibrium |
| ID Code: | 72610 |
| Deposited On: | 29 Nov 2011 04:34 |
| Last Modified: | 29 Nov 2011 04:34 |
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