Computing the optimal strategy to commit to

Proceedings of the ACM Conference on Electronic Commerce

Volumn 2006, Issue , 2006, Pages 82-90

  Conitzer, Vincent ^a   Sandholm, Tuomas ^a  

^a Computer Science Department ^*  (United States)

Author keywords

Bayesian games; Commitment; Game theory; Leadership; Nash equilibrium; Normal form games; Stackelberg

Indexed keywords

DECISION MAKING; ELECTRONIC COMMERCE; GAME THEORY; MATHEMATICAL MODELS;

BAYESIAN GAMES; COMMITMENT; LEADERSHIP; NASH EQUILIBRIUM; NORMAL-FORM GAMES; STACKELBERG;

MULTI AGENT SYSTEMS;

EID: 33748712836     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1134707.1134717     Document Type: Conference Paper

References (26)

1. N. A. R. Bhat and K. Leyton-Brown. Computing Nash equilibria of action-graph games. In Proceedings of the 20th Annual Conference on Uncertainty in Artificial Intelligence (UAI), Banff, Canada, 2004.
2. V. Conitzer and T. Sandholm. Complexity results about Nash equilibria. In Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI), pages 765-771, Acapulco, Mexico, 2003.
3. V. Conitzer and T. Sandholm. Complexity of (iterated) dominance. In Proceedings of the ACM Conference on Electronic Commerce (ACM-EC), pages 88-97, Vancouver, Canada, 2005.
4. V. Conitzer and T. Sandholm. A generalized strategy eliminability criterion and computational methods for applying it. In Proceedings of the National Conference on Artificial Intelligence (AAAI), pages 483-488, Pittsburgh, PA, USA, 2005.
5. A. A. Cournot. Recherches sur les principes mathématiques de la théorie des richesses (Researches into the Mathematical Principles of the Theory of Wealth). Hachette, Paris, 1838.
6. G. Dantzig. A proof of the equivalence of the programming problem and the game problem. In T. Koopmans, editor, Activity Analysis of Production and Allocation, pages 330-335. John Wiley & Sons, 1951.
7. I. Gilboa, E. Kalai, and E. Zemel. The complexity of eliminating dominated strategies. Mathematics of Operation Research, 18:553-565, 1993.
8. I. Gilboa and E. Zemel. Nash and correlated equilibria: Some complexity considerations. Games and Economic Behavior, 1:80-93, 1989.
9. R. Karp. Reducibility among combinatorial problems. In R. E. Miller and J. W. Thatcher, editors, Complexity of Computer Computations, pages 85-103. Plenum Press, NY, 1972.
10. M. Kearns, M. Littman, and S. Singh. Graphical models for game theory. In Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI), 2001.
11. D. E. Knuth, C. H. Papadimitriou, and J. N. Tsitsiklis, A note on strategy elimination in bimatrix games. Operations Research Letters, 7(3):103-107, 1988.
12. D. Koller and N. Megiddo. The complexity of two-person zero-sum games in extensive form. Games and Economic Behavior, 4(4):528-552, Oct. 1992.
13. D. Koller, N. Megiddo, and B. von Stengel. Efficient computation of equilibria for extensive two-person games. Games and Economic Behavior, 14(2):247-259, 1996.
14. K. Leyton-Brown and M. Tennenholtz. Local-effect games. In Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI), Acapulco, Mexico, 2003.
15. R. Lipton, E. Markakis, and A. Mehta. Playing large games using simple strategies. In Proceedings of the ACM Conference on Electronic Commerce (ACM-EC), pages 36-41, San Diego, CA, 2003.
16. M. Littman and P. Stone. A polynomial-time Nash equilibrium algorithm for repeated games. In Proceedings of the ACM Conference on Electronic Commerce (ACM-EC), pages 48-54, San Diego, CA, 2003.
17. R. D. Luce and H. Raiffa. Games and Decisions. John Wiley and Sons, New York, 1957. Dover republication 1989.
18. J. Nash. Equilibrium points in n-person games. Proc. of the National Academy of Sciences, 36:48-49, 1950.
19. E. Nudelman, J. Wortman, K. Leyton-Brown, and Y. Shoham. Run the GAMUT: A comprehensive approach to evaluating game-theoretic algorithms. In International Conference on Autonomous Agents and Multi-Agent Systems (AAMAS), New York, NY, USA, 2004.
20. M. J. Osborne and A. Rubinstein. A Course in Game Theory. MIT Press, 1994.
21. C. Papadimitriou. Algorithms, games and the Internet. In Proceedings of the Annual Symposium on Theory of Computing (STOC), pages 749-753, 2001.
22. R. Porter, E. Nudelman, and Y. Shoham. Simple search methods for finding a Nash equilibrium. In Proceedings of the National Conference on Artificial Intelligence (AAAI), pages 664-669, San Jose, CA, USA, 2004.
23. T. Sandholm, A. Gilpin, and V. Conitzer. Mixed-integer programming methods for finding Nash equilibria. In Proceedings of the National Conference on Artificial Intelligence (AAAI), pages 495-501, Pittsburgh, PA, USA, 2005.
24. J. von Neumann. Zur Theorie der Gesellschaftsspiele. Mathematische Annalen, 100:295-320, 1927.
25. H. von Stackelberg. Marktform und Gleichgewicht. Springer, Vienna, 1934.
26. B. von Stengel and S. Zamir. Leadership with commitment to mixed strategies. CDAM Research Report LSE-CDAM-2004-01, London School of Economics, Feb. 2004.