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A Game-Theoretic Classification of Interactive Complexity Classes (1995)  (Make Corrections)  (2 citations)
Joan Feigenbaum, Daphne Koller, Peter Shor
Structure in Complexity Theory Conference



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Abstract: Game-theoretic characterizations of complexity classes have often proved useful in understanding the power and limitations of these classes. One well-known example tells us that PSPACE can be characterized by two-person, perfect-information games in which the length of a played game is polynomial in the length of the description of the initial position [Chandra et al., Journal of the ACM, 28 (1981), pp. 114--133]. In this paper, we investigate the connection between game theory and interactive... (Update)

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...the notions of perfect information and perfect recall. The few game theoretic notions that we use are defined precisely in, e.g. [9] 2 Alternation and Randomized Players Chandra et al. 5] proved a fundamental result about the connection between games and complexity...

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BibTeX entry:   (Update)

J. Feigenbaum, D. Koller, and P. Shor, "A Game-Theoretic Classification of Interactive Complexity Classes," in Proceedings of the 10th Conference on Structure in Complexity Theory, IEEE Computer Society Press, Los Alamitos, 1995, pp. 227-237. http://citeseer.ist.psu.edu/feigenbaum95gametheoretic.html   More

@inproceedings{ feigenbaum95gametheoretic,
    author = "Joan Feigenbaum and Daphne Koller and Peter W. Shor",
    title = "A Game-Theoretic Classification of Interactive Complexity Classes",
    booktitle = "Structure in Complexity Theory Conference",
    pages = "227-237",
    year = "1995",
    url = "citeseer.ist.psu.edu/feigenbaum95gametheoretic.html" }
Citations (may not include all citations):
242   Nondeterministic Exponential Time has Two-Prover Interactive.. - Babai, Fortnow et al. - 1991
172   Algebraic methods for interactive proof systems - Lund, Fortnow et al. - 1992
152   Probabilistic Computation: Towards a Unified Measure of Comp.. (context) - Yao - 1977
149   Fast Probabilistic Algorithms for Verification of Polynomial.. (context) - Schwartz - 1980
98   Private coins versus public coins in interactive proof syste.. (context) - Goldwasser, Sipser - 1989
93   the Power of Multiprover Interactive Protocols - Fortnow, Rompel et al. - 1994
58   Games Against Nature (context) - Papadimitriou - 1985
50   Complete problems for deterministic polynomial time (context) - Jones, Laaser - 1974
43   Extensive games and the problem of information (context) - Kuhn - 1953
34   Alternation (context) - Chandra, Kozen et al. - 1981
25   Fast Algorithms for Finding Randomized Strategies in Game Tr.. - Koller, Meggido et al. - 1994
24   Eavesdropping Games: A GraphTheoretic Approach to Privacy in.. - Franklin, Galil et al. - 1993
24   On Complexity as Bounded Rationality (context) - Papadimitriou, Yannakakis - 1994
22   Locally Random Reductions in Interactive Complexity Theory - Feigenbaum - 1993
19   Linear Programming is LOG-SPACE Hard for P (context) - Dobkin, Lipton et al. - 1979
18   Uber eine Anwendung der Mengenlehre auf die Theorie des Scha.. (context) - Zermelo - 1913
17   The Complexity of Two-Player Games of Incomplete Information (context) - Reif - 1984
15   Handbook of Game Theory (context) - Aumann, Hart - 1992
14   Multiple Person Alternation (context) - Peterson, Reif - 1979
13   Consenting Agents: Negotiation Mechanisms for Multi-Agent Sy.. (context) - Rosenschein - 1993
12   IP = PSPACE (context) - Shamir - 1992
9   Probabilistic Game Automata (context) - Condon, Ladner - 1986
8   Universal Games of Incomplete Information (context) - Reif - 1979
7   Private vs. Common Random Bits in Communication Complexity - Newman - 1991
6   Alternation in Interaction - Kiwi, Lund et al. - 1994
3   ACM Distinguished Dissertation (context) - Condon, of - 1989
2   Collective Coin Flipping, Robust Voting Games, and Minima of.. (context) - Ben-Or, Linial - 1985
2   The Noisy Oracle Model (context) - Feige, Shamir et al. - 1990

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