A class of stochastic games with ordered field property |
| |
| Authors: | O. J. Vrieze S. H. Tijs T. Parthasarathy C. A. J. M. Dirven |
| |
| Affiliation: | (1) Department of Mathematics, University of Limburg, Maastricht, Holland;(2) Department of Mathematics, Catholic University, Nijmegen, Holland;(3) Indian Statistical Institute, New Delhi, India;(4) Department of Econometrics, Tilburg University, Tilburg, Holland |
| |
| 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. |
| |
| Keywords: | Stochastic games ordered field property one-player controls rewards |
| 本文献已被 SpringerLink 等数据库收录！ |
|
