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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Chatterjee, K. de Alfaro, L. Henzinger, T.A. |
| Copyright Year | 2004 |
| Description | Author affiliation: Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA (Chatterjee, K.) |
| Abstract | Strategies in repeated games can be classified as to whether or not they use memory and/or randomization. We consider Markov decision processes and 2-player graph games, both of the deterministic and probabilistic varieties. We characterize when memory and/or randomization are required for winning with respect to various classes of /spl omega/-regular objectives, noting particularly when the use of memory can be traded for the use of randomization. In particular, we show that Markov decision processes allow randomized memoryless optimal strategies for all Muller objectives. Furthermore, we show that 2-player probabilistic graph games allow randomized memoryless strategies for winning with probability 1 those Muller objectives which are upward-closed. Upward-closure means that if a set a of infinitely repeating vertices is winning, then all supersets of /spl alpha/ are also winning. |
| Sponsorship | Fac. of Electr. Eng., Math. and Comput. Sci., Univ. of Twente R. Netherlands Acad. of Arts and Sci. Netherlands Organ. for Sci. Res. Centre for Telematics and Inf. Technol., Univ. of Twente Inst. for programming Res. and Algorithmics |
| Starting Page | 206 |
| Ending Page | 217 |
| File Size | 665498 |
| Page Count | 12 |
| File Format | |
| ISBN | 0769521851 |
| DOI | 10.1109/QEST.2004.1348035 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2004-09-27 |
| Publisher Place | The Netherlands |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Control system synthesis Probability distribution Artificial intelligence |
| Content Type | Text |
| Resource Type | Article |
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