The Complexity of Computing Equilibria
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DOI: 10.1016/B978-0-444-53766-9.00014-8
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- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
- Tim Roughgarden, 2010. "Computing equilibria: a computational complexity perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 193-236, January.
- Aumann, Robert J., 1974.
"Subjectivity and correlation in randomized strategies,"
Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
- AUMANN, Robert J., 1974. "Subjectivity and correlation in randomized strategies," LIDAM Reprints CORE 167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
- Velupillai, K., 2000. "Computable Economics: The Arne Ryde Memorial Lectures," OUP Catalogue, Oxford University Press, number 9780198295273.
- Koller, Daphne & Megiddo, Nimrod & von Stengel, Bernhard, 1996. "Efficient Computation of Equilibria for Extensive Two-Person Games," Games and Economic Behavior, Elsevier, vol. 14(2), pages 247-259, June.
- R. Myerson, 2010.
"Nash Equilibrium and the History of Economic Theory,"
Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 6.
- Roger B. Myerson, 1999. "Nash Equilibrium and the History of Economic Theory," Journal of Economic Literature, American Economic Association, vol. 37(3), pages 1067-1082, September.
- John Geanakoplos, 2003. "Nash and Walras equilibrium via Brouwer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 585-603, March.
- Blonski, Matthias, 1999. "Anonymous Games with Binary Actions," Games and Economic Behavior, Elsevier, vol. 28(2), pages 171-180, August.
- Koller, Daphne & Megiddo, Nimrod, 1992. "The complexity of two-person zero-sum games in extensive form," Games and Economic Behavior, Elsevier, vol. 4(4), pages 528-552, October.
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- Nicola, Gatti & Mario, Gilli & Fabio, Panozzo, 2016. "Further results on verification problems in extensive-form games," Working Papers 347, University of Milano-Bicocca, Department of Economics, revised 15 Jul 2016.
- Ilan Nehama, 2016. "Analyzing Games with Ambiguous Player Types Using the MINthenMAX Decision Model," Discussion Paper Series dp700, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
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More about this item
Keywords
Normal form games; Nash equilibrium; Algorithms; Computational complexity; Polynomial-time algorithms; NP-complete problems; PPAD-complete problems;All these keywords.
JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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