Zero-sum stochastic games with partial information

Journal of Optimization Theory and Applications

Volumn 121, Issue 1, 2004, Pages 99-118

  Ghosh, M K ^a   McDonald, D ^b   Sinha, S ^c  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b UNIVERSITY OF OTTAWA   (Canada)

^c JADAVPUR UNIVERSITY   (India)

Author keywords

Optimal strategies; Partial information; Stochastic games; Value

Indexed keywords

GAME THEORY; OPTIMAL SYSTEMS;

BOREL STATE SPACE; COMPLETE INFORMATION; DECISION-BASED; OPTIMAL STRATEGIES; PARTIAL INFORMATION; STOCHASTIC GAME; VALUE; VALUE STRATEGIES; ZERO-SUM STOCHASTIC GAMES;

STOCHASTIC SYSTEMS;

EID: 4043141338     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOTA.0000026133.56615.cf     Document Type: Article

References (15)

1. SHAPLEY, L., Stochastic Games, Proceedings of National Academy of Sciences, Vol. 39, pp. 1095-1100, 1953.
2. VRIEZE, K., Zero-Sum Stochastic Games: A Survey, CWI Quarterly, Vol. 2, pp. 147-170, 1989.
3. BERTSEKAS, D. P., and SHREVE, S. E., Stochastic Optimal Control, Academic Press, New York, NY, 1978.
4. DYNKIN, E. B., and YUSHKEVICH, A. A., Controlled Markov Processes, Springer Verlag, Berlin, Germany, 1979.
5. HERNANDEZ-LERMA, O., Adaptive Control of Markov Processes, Springer Verlag, New York, NY, 1989.
6. BORKAR, V. S., N-Person Noncooperative Stochastic Games with Partial Information, Game Theory and Economic Applications, Lecture Notes in Economics and Mathematical Systems, Springer Verlag, New York, NY, Vol. 389, pp. 98-113, 1992.
7. ROSENBERG, D., and VIELLE, N., The Maxmin of Recursive Games with Incomplete Information on One Side, Mathematics of Operations Research, Vol. 25, pp. 23-35, 2000.
8. SORIN, S., Big Match with Lack of Information on One Side, Part 1, International Journal of Game Theory, Vol. 13, pp. 201-255, 1984.
9. SORIN, S., Big Match with Lack of Information on One Side, Part 2, International Journal of Game Theory, Vol. 14, pp. 173-204, 1985.
10. SORIN, S., and ZAMIR, S., A 2-Person Game with Lack of Information on 1 1/2 Sides, Mathematics of Operations Research, Vol. 10, pp. 17-23, 1985.
11. ZAMIR, S., Repeated Games of Incomplete Information: Zero-Sum, Handbook of Game Theory with Economic Applications, Elsevier Science Publishers, Amsterdam, Holland, Vol. 1, pp. 109-154, 1992.
12. BORKAR, V. S., and GHOSH, M. K., Stochastic Differential Games: An Occupation Measure Based Approach, Journal of Optimization Theory and Applications, Vol. 73, pp. 359-385, 1992 (Errata Corrige, Vol. 88, pp. 251-252, 1996).
13. KUMAR, P. R., and SHIAU, T. H., Existence of Value and Randomized Strategies in Zero-Sum Discrete-Time Stochastic Dynamic Games, SIAM Journal on Control and Optimization, Vol. 19, pp. 617-634, 1981.
14. MAITRA, A., and PARTHASARATHY, T., On Stochastic Games, Journal of Optimization Theory and Applications, Vol. 5, pp. 289-300, 1970.
15. NOWAK, A. S., On Zero-Sum Stochastic Games with General State Space, II, Probability and Mathematical Statistics, Vol. 4, 143-152, 1984.