Vrieze, O. J. ; Tijs, S. H. ; Parthasarathy, T. ; Dirven, C. A. J. M. (1990) A class of stochastic games with ordered field property Journal of Optimization Theory and Applications, 65 (3). pp. 519-529. ISSN 0022-3239
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Official URL: http://www.springerlink.com/content/p4k05761871113...
Related URL: http://dx.doi.org/10.1007/BF00939564
Abstract
It is shown that discounted general-sum stochastic games with two players, two states, and one player controlling the rewards have the ordered field property. For the zero-sum case, this result implies that, when starting with rational data, also the value is rational and that the extreme optimal stationary strategies are composed of rational components.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Stochastic Games; Ordered Field Property; One-player Controls Rewards |
| ID Code: | 36513 |
| Deposited On: | 11 Apr 2011 13:15 |
| Last Modified: | 17 May 2016 19:28 |
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