메뉴 건너뛰기




Volumn 63, Issue 2, 2008, Pages 621-641

New complexity results about Nash equilibria

Author keywords

[No Author keywords available]

Indexed keywords


EID: 44649117928     PISSN: 08998256     EISSN: 10902473     Source Type: Journal    
DOI: 10.1016/j.geb.2008.02.015     Document Type: Article
Times cited : (201)

References (52)
  • 1
    • 33748599852 scopus 로고    scopus 로고
    • Abbott, T., Kane, D., Valiant, P., 2005. On the complexity of two-player win-lose games. In: Proceedings of the Annual Symposium on Foundations of Computer Science (FOCS), pp. 113-122
    • Abbott, T., Kane, D., Valiant, P., 2005. On the complexity of two-player win-lose games. In: Proceedings of the Annual Symposium on Foundations of Computer Science (FOCS), pp. 113-122
  • 2
    • 0000234444 scopus 로고
    • Acceptable points in general cooperative n-person games
    • Contributions to the Theory of Games, Princeton Univ. Press
    • Aumann R.J. Acceptable points in general cooperative n-person games. Contributions to the Theory of Games. Ann. of Math. Study, 40 vol. IV (1959), Princeton Univ. Press 287-324
    • (1959) Ann. of Math. Study, 40 , vol.IV , pp. 287-324
    • Aumann, R.J.1
  • 3
    • 0011471586 scopus 로고
    • The complexity of computing a best response automaton in repeated games with mixed strategies
    • Ben-Porath E. The complexity of computing a best response automaton in repeated games with mixed strategies. Games Econ. Behav. 2 1 (1990) 1-12
    • (1990) Games Econ. Behav. , vol.2 , Issue.1 , pp. 1-12
    • Ben-Porath, E.1
  • 4
    • 33750693387 scopus 로고    scopus 로고
    • Benisch, M., Davis, G., Sandholm, T., 2006. Algorithms for rationalizability and CURB sets. In: Proceedings of the National Conference on Artificial Intelligence (AAAI)
    • Benisch, M., Davis, G., Sandholm, T., 2006. Algorithms for rationalizability and CURB sets. In: Proceedings of the National Conference on Artificial Intelligence (AAAI)
  • 5
    • 44649160699 scopus 로고    scopus 로고
    • Bhat, N.A.R., Leyton-Brown, K., 2004. Computing Nash equilibria of action-graph games. In: Proceedings of the 20th Annual Conference on Uncertainty in Artificial Intelligence (UAI), pp. 35-42
    • Bhat, N.A.R., Leyton-Brown, K., 2004. Computing Nash equilibria of action-graph games. In: Proceedings of the 20th Annual Conference on Uncertainty in Artificial Intelligence (UAI), pp. 35-42
  • 6
    • 44649103346 scopus 로고    scopus 로고
    • Chen, X., Deng, X., 2005. 3-Nash is PPAD-complete. In: Electronic Colloquium on Computational Complexity, Report No. 134
    • Chen, X., Deng, X., 2005. 3-Nash is PPAD-complete. In: Electronic Colloquium on Computational Complexity, Report No. 134
  • 7
    • 36448948767 scopus 로고    scopus 로고
    • Chen, X., Deng, X., 2006. Settling the complexity of two-player Nash equilibrium. In: Proceedings of the Annual Symposium on Foundations of Computer Science (FOCS), pp. 261-272
    • Chen, X., Deng, X., 2006. Settling the complexity of two-player Nash equilibrium. In: Proceedings of the Annual Symposium on Foundations of Computer Science (FOCS), pp. 261-272
  • 8
    • 30044441719 scopus 로고    scopus 로고
    • Conitzer, V., Sandholm, T., 2005a. Complexity of (iterated) dominance. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 88-97
    • Conitzer, V., Sandholm, T., 2005a. Complexity of (iterated) dominance. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 88-97
  • 9
    • 29344453190 scopus 로고    scopus 로고
    • Conitzer, V., Sandholm, T., 2005b. A generalized strategy eliminability criterion and computational methods for applying it. In: Proceedings of the National Conference on Artificial Intelligence (AAAI), pp. 483-488
    • Conitzer, V., Sandholm, T., 2005b. A generalized strategy eliminability criterion and computational methods for applying it. In: Proceedings of the National Conference on Artificial Intelligence (AAAI), pp. 483-488
  • 10
    • 85059770931 scopus 로고    scopus 로고
    • Cook, S., 1971. The complexity of theorem proving procedures. In: Proceedings of the Third Annual ACM Symposium on Theory of Computing, pp. 151-158
    • Cook, S., 1971. The complexity of theorem proving procedures. In: Proceedings of the Third Annual ACM Symposium on Theory of Computing, pp. 151-158
  • 11
    • 44649151792 scopus 로고    scopus 로고
    • Daskalakis, C., Papadimitriou C.H., 2005. Three-player games are hard. In: Electronic Colloquium on Computational Complexity, Report 139
    • Daskalakis, C., Papadimitriou C.H., 2005. Three-player games are hard. In: Electronic Colloquium on Computational Complexity, Report 139
  • 12
    • 33748108509 scopus 로고    scopus 로고
    • Daskalakis, C., Goldberg, P., Papadimitriou, C.H., 2006. The complexity of computing a Nash equilibrium. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 71-78
    • Daskalakis, C., Goldberg, P., Papadimitriou, C.H., 2006. The complexity of computing a Nash equilibrium. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 71-78
  • 13
    • 36448971240 scopus 로고    scopus 로고
    • Daskalakis, C., Mehta, A., Papadimitriou, C.H., 2007. Progress in approximate Nash equilibria. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 355-358
    • Daskalakis, C., Mehta, A., Papadimitriou, C.H., 2007. Progress in approximate Nash equilibria. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 355-358
  • 14
  • 16
    • 45249127547 scopus 로고
    • Nash and correlated equilibria: Some complexity considerations
    • Gilboa I., and Zemel E. Nash and correlated equilibria: Some complexity considerations. Games Econ. Behav. 1 (1989) 80-93
    • (1989) Games Econ. Behav. , vol.1 , pp. 80-93
    • Gilboa, I.1    Zemel, E.2
  • 17
    • 0000453102 scopus 로고
    • The complexity of eliminating dominated strategies
    • Gilboa I., Kalai E., and Zemel E. The complexity of eliminating dominated strategies. Math. Operation Res. 18 (1993) 553-565
    • (1993) Math. Operation Res. , vol.18 , pp. 553-565
    • Gilboa, I.1    Kalai, E.2    Zemel, E.3
  • 18
    • 35348940239 scopus 로고    scopus 로고
    • Lossless abstraction of imperfect information games
    • Gilpin A., and Sandholm T. Lossless abstraction of imperfect information games. J. ACM 54 5 (2007)
    • (2007) J. ACM , vol.54 , Issue.5
    • Gilpin, A.1    Sandholm, T.2
  • 19
    • 44649109003 scopus 로고    scopus 로고
    • Gilpin, A., Hoda, S., Peña, J., Sandholm, T., 2007. Gradient-based algorithms for finding Nash equilibria in extensive form games. In: Workshop on Internet and Network Economics (WINE). San Diego, CA, USA
    • Gilpin, A., Hoda, S., Peña, J., Sandholm, T., 2007. Gradient-based algorithms for finding Nash equilibria in extensive form games. In: Workshop on Internet and Network Economics (WINE). San Diego, CA, USA
  • 20
    • 85017398058 scopus 로고    scopus 로고
    • Gottlob, G., Greco, G., Scarcello, F., 2003. Pure Nash equilibria: hard and easy games. In: Theoretical Aspects of Rationality and Knowledge (TARK), pp. 215-230
    • Gottlob, G., Greco, G., Scarcello, F., 2003. Pure Nash equilibria: hard and easy games. In: Theoretical Aspects of Rationality and Knowledge (TARK), pp. 215-230
  • 21
    • 0000725056 scopus 로고
    • Game with incomplete information played by Bayesian players
    • 320-334; 486-502
    • Harsanyi J. Game with incomplete information played by Bayesian players. Manage. Sci. 14 (1967-1968) 159-182 320-334; 486-502
    • (1967) Manage. Sci. , vol.14 , pp. 159-182
    • Harsanyi, J.1
  • 22
    • 44649159622 scopus 로고    scopus 로고
    • Kearns, M., Littman, M., Singh, S., 2001. Graphical models for game theory. In: Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI)
    • Kearns, M., Littman, M., Singh, S., 2001. Graphical models for game theory. In: Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI)
  • 23
    • 0000564361 scopus 로고
    • A polynomial algorithm in linear programming
    • Khachiyan L. A polynomial algorithm in linear programming. Soviet Math. Doklady 20 (1979) 191-194
    • (1979) Soviet Math. Doklady , vol.20 , pp. 191-194
    • Khachiyan, L.1
  • 24
    • 0011514818 scopus 로고
    • Computable strategies for repeated prisoner's dilemma
    • Knoblauch V. Computable strategies for repeated prisoner's dilemma. Games Econ. Behav. 7 (1994) 381-389
    • (1994) Games Econ. Behav. , vol.7 , pp. 381-389
    • Knoblauch, V.1
  • 25
    • 0000979731 scopus 로고
    • The complexity of two-person zero-sum games in extensive form
    • Koller D., and Megiddo N. The complexity of two-person zero-sum games in extensive form. Games Econ. Behav. 4 4 (1992) 528-552
    • (1992) Games Econ. Behav. , vol.4 , Issue.4 , pp. 528-552
    • Koller, D.1    Megiddo, N.2
  • 26
    • 84880906306 scopus 로고    scopus 로고
    • Koller, D., Milch, B., 2001. Multi-agent influence diagrams for representing and solving games. In: Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence (IJCAI), pp. 1027-1034
    • Koller, D., Milch, B., 2001. Multi-agent influence diagrams for representing and solving games. In: Proceedings of the Seventeenth International Joint Conference on Artificial Intelligence (IJCAI), pp. 1027-1034
  • 27
    • 0030170957 scopus 로고    scopus 로고
    • Efficient computation of equilibria for extensive two-person games
    • Koller D., Megiddo N., and von Stengel B. Efficient computation of equilibria for extensive two-person games. Games Econ. Behav. 14 2 (1996) 247-259
    • (1996) Games Econ. Behav. , vol.14 , Issue.2 , pp. 247-259
    • Koller, D.1    Megiddo, N.2    von Stengel, B.3
  • 28
    • 0000176346 scopus 로고
    • Equilibrium points of bimatrix games
    • Lemke C., and Howson J. Equilibrium points of bimatrix games. J. Soc. Ind. Appl. Math. 12 (1964) 413-423
    • (1964) J. Soc. Ind. Appl. Math. , vol.12 , pp. 413-423
    • Lemke, C.1    Howson, J.2
  • 29
    • 84880839504 scopus 로고    scopus 로고
    • Leyton-Brown, K., Tennenholtz, M., 2003. Local-effect games. In: Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI), pp. 772-780
    • Leyton-Brown, K., Tennenholtz, M., 2003. Local-effect games. In: Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence (IJCAI), pp. 772-780
  • 30
    • 84976681619 scopus 로고
    • GO is polynomial-space hard
    • Lichtenstein D., and Sipser M. GO is polynomial-space hard. J. ACM 27 (1980) 393-401
    • (1980) J. ACM , vol.27 , pp. 393-401
    • Lichtenstein, D.1    Sipser, M.2
  • 31
    • 0242624716 scopus 로고    scopus 로고
    • Lipton, R., Markakis, E., Mehta, A., 2003. Playing large games using simple strategies. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 36-41
    • Lipton, R., Markakis, E., Mehta, A., 2003. Playing large games using simple strategies. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 36-41
  • 32
    • 27744581012 scopus 로고    scopus 로고
    • The expected number of Nash equilibria of a normal form game
    • McLennan A. The expected number of Nash equilibria of a normal form game. Econometrica 73 1 (2005) 141-174
    • (2005) Econometrica , vol.73 , Issue.1 , pp. 141-174
    • McLennan, A.1
  • 33
    • 0042204039 scopus 로고    scopus 로고
    • Generic 4 × 4 two person games have at most 15 Nash equilibria
    • McLennan A., and Park I.-U. Generic 4 × 4 two person games have at most 15 Nash equilibria. Games Econ. Behav. 26 1 (1999) 111-130
    • (1999) Games Econ. Behav. , vol.26 , Issue.1 , pp. 111-130
    • McLennan, A.1    Park, I.-U.2
  • 34
    • 33244480770 scopus 로고    scopus 로고
    • Miltersen, P.B., Sørensen, T.B., 2006. Computing sequential equilibria for two-player games. In: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pp. 107-116
    • Miltersen, P.B., Sørensen, T.B., 2006. Computing sequential equilibria for two-player games. In: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pp. 107-116
  • 35
    • 0030306234 scopus 로고    scopus 로고
    • Non-computable strategies and discounted repeated games
    • June
    • Nachbar J.H., and Zame W.R. Non-computable strategies and discounted repeated games. Econ. Theory 8 1 (1996) 103-122 June
    • (1996) Econ. Theory , vol.8 , Issue.1 , pp. 103-122
    • Nachbar, J.H.1    Zame, W.R.2
  • 36
    • 0002021736 scopus 로고
    • Equilibrium points in n-person games
    • Nash J. Equilibrium points in n-person games. Proc. Natl. Acad. Sci. 36 (1950) 48-49
    • (1950) Proc. Natl. Acad. Sci. , vol.36 , pp. 48-49
    • Nash, J.1
  • 37
    • 84986985937 scopus 로고    scopus 로고
    • Orlin, J., 1981. The complexity of dynamic languages and dynamic optimization problems. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 218-227
    • Orlin, J., 1981. The complexity of dynamic languages and dynamic optimization problems. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 218-227
  • 38
    • 0000948830 scopus 로고
    • On players with a bounded number of states
    • Papadimitriou C.H. On players with a bounded number of states. Games Econ. Behav. 4 (1992) 122-131
    • (1992) Games Econ. Behav. , vol.4 , pp. 122-131
    • Papadimitriou, C.H.1
  • 39
    • 0034836562 scopus 로고    scopus 로고
    • Papadimitriou, C.H., 2001. Algorithms, games and the Internet. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 749-753
    • Papadimitriou, C.H., 2001. Algorithms, games and the Internet. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 749-753
  • 40
    • 34848925497 scopus 로고    scopus 로고
    • Papadimitriou, C.H., 2005. Computing correlated equilibria in multi-player games. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 49-56
    • Papadimitriou, C.H., 2005. Computing correlated equilibria in multi-player games. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 49-56
  • 42
    • 44649181559 scopus 로고    scopus 로고
    • Simple search methods for finding a Nash equilibrium
    • (in this issue)
    • Porter R., Nudelman E., and Shoham Y. Simple search methods for finding a Nash equilibrium. Games Econ. Behav. 63 2 (2008) 642-662 (in this issue)
    • (2008) Games Econ. Behav. , vol.63 , Issue.2 , pp. 642-662
    • Porter, R.1    Nudelman, E.2    Shoham, Y.3
  • 43
    • 0008787431 scopus 로고
    • Reduction of a game with complete memory to a matrix game
    • Romanovskii I. Reduction of a game with complete memory to a matrix game. Soviet Math. 3 (1962) 678-681
    • (1962) Soviet Math. , vol.3 , pp. 678-681
    • Romanovskii, I.1
  • 44
    • 29344453416 scopus 로고    scopus 로고
    • Sandholm, T., Gilpin, A., Conitzer, V., 2005. Mixed-integer programming methods for finding Nash equilibria. In: Proceedings of the National Conference on Artificial Intelligence (AAAI), pp. 495-501
    • Sandholm, T., Gilpin, A., Conitzer, V., 2005. Mixed-integer programming methods for finding Nash equilibria. In: Proceedings of the National Conference on Artificial Intelligence (AAAI), pp. 495-501
  • 45
    • 33645018035 scopus 로고    scopus 로고
    • Hard-to-solve bimatrix games
    • Early version in FOCS-04
    • Savani R., and von Stengel B. Hard-to-solve bimatrix games. Econometrica 74 (2006) 397-429 Early version in FOCS-04
    • (2006) Econometrica , vol.74 , pp. 397-429
    • Savani, R.1    von Stengel, B.2
  • 46
    • 33748687764 scopus 로고    scopus 로고
    • Schoenebeck, G., Vadhan, S., 2006. The computational complexity of Nash equilibria in concisely represented games. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 270-279
    • Schoenebeck, G., Vadhan, S., 2006. The computational complexity of Nash equilibria in concisely represented games. In: Proceedings of the ACM Conference on Electronic Commerce (EC), pp. 270-279
  • 48
    • 0000741507 scopus 로고
    • Noncooperative stochastic games
    • Sobel M. Noncooperative stochastic games. Ann. Math. Statist. 42 (1971) 1930-1935
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1930-1935
    • Sobel, M.1
  • 49
    • 0015773009 scopus 로고    scopus 로고
    • Stockmeyer, L., Meyer, A., 1973. Word problems requiring exponential time. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 1-9
    • Stockmeyer, L., Meyer, A., 1973. Word problems requiring exponential time. In: Proceedings of the Annual Symposium on Theory of Computing (STOC), pp. 1-9
  • 50
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • Valiant L. The complexity of computing the permanent. Theoretical Comput. Sci. 8 (1979) 189-201
    • (1979) Theoretical Comput. Sci. , vol.8 , pp. 189-201
    • Valiant, L.1
  • 51
    • 0030167455 scopus 로고    scopus 로고
    • Efficient computation of behavior strategies
    • von Stengel B. Efficient computation of behavior strategies. Games Econ. Behav. 14 2 (1996) 220-246
    • (1996) Games Econ. Behav. , vol.14 , Issue.2 , pp. 220-246
    • von Stengel, B.1
  • 52
    • 0036212395 scopus 로고    scopus 로고
    • Computing normal form perfect equilibria for extensive two-person games
    • March
    • von Stengel B., van den Elzen A., and Talman D. Computing normal form perfect equilibria for extensive two-person games. Econometrica 70 2 (2002) 693-715 March
    • (2002) Econometrica , vol.70 , Issue.2 , pp. 693-715
    • von Stengel, B.1    van den Elzen, A.2    Talman, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.