| HAL: hal-00403463, version 4 |
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| Available versions: | v1 (2009-07-10) | v2 (2009-07-11) | v3 (2009-10-09) | v4 (2009-12-03) |
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| Randomized Strategies are Useless in Markov Decision Processes |
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| Hugo Gimbert 1 |
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| (2009-07-10) |
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| We show that in a Markov decision process with arbitrary payoff mapping, restricting the set of behavioral strategies from randomized to deterministic does not influence the value of the game nor the existence of almost-surely or positively winning strategies. This result still holds for Markov decision processes with partial observation. |
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| 1: | Laboratoire Bordelais de Recherche en Informatique (LaBRI) |
| CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – Ecole Nationale Supérieure d'Electronique, Informatique et Radiocommunications de Bordeaux – Université Victor Segalen - Bordeaux II | |
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| Méthodes Formelles, LaBRI |
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| Subject | : | Computer Science/Computer Science and Game Theory |
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| Attached file list to this document: | |||||
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| hal-00403463, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00403463 | |
| oai:hal.archives-ouvertes.fr:hal-00403463 | |
| From: Hugo Gimbert | |
| Submitted on: Thursday, 3 December 2009 14:31:56 | |
| Updated on: Thursday, 3 December 2009 14:44:14 | |