Stationary equilibria in stochastic games : structure, selection, and computation
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DOI: 10.26481/umamet.2000031
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- Herings, P. Jean-Jacques & Peeters, Ronald J. A. P., 2004. "Stationary equilibria in stochastic games: structure, selection, and computation," Journal of Economic Theory, Elsevier, vol. 118(1), pages 32-60, September.
References listed on IDEAS
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1996.
"Tracing equilibria in extensive games by complementary pivoting,"
Other publications TiSEM
438ed645-c6be-469e-a7d9-7, Tilburg University, School of Economics and Management.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1996. "Tracing equilibria in extensive games by complementary pivoting," Discussion Paper 1996-86, Tilburg University, Center for Economic Research.
- 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.
- Judd, Kenneth L., 1997.
"Computational economics and economic theory: Substitutes or complements?,"
Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 907-942, June.
- Kenneth L. Judd, 1997. "Computational Economics and Economic Theory: Substitutes or Complements," NBER Technical Working Papers 0208, National Bureau of Economic Research, Inc.
- Robert Wilson, 2010. "Computing Equilibria of n-person Games," Levine's Working Paper Archive 402, David K. Levine.
- Bergemann, Dirk & Valimaki, Juuso, 1996.
"Learning and Strategic Pricing,"
Econometrica, Econometric Society, vol. 64(5), pages 1125-1149, September.
- Dirk Bergemann & Juuso Valimaki, 1996. "Learning and Strategic Pricing," Cowles Foundation Discussion Papers 1113, Cowles Foundation for Research in Economics, Yale University.
- McKelvey Richard D. & Palfrey Thomas R., 1995.
"Quantal Response Equilibria for Normal Form Games,"
Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
- McKelvey, Richard D. & Palfrey, Thomas R., 1994. "Quantal Response Equilibria For Normal Form Games," Working Papers 883, California Institute of Technology, Division of the Humanities and Social Sciences.
- R. McKelvey & T. Palfrey, 2010. "Quantal Response Equilibria for Normal Form Games," Levine's Working Paper Archive 510, David K. Levine.
- Jean-Jacques Herings, P., 1997.
"A globally and universally stable price adjustment process,"
Journal of Mathematical Economics, Elsevier, vol. 27(2), pages 163-193, March.
- Herings, P.J.J., 1994. "A globally and universally stable price adjustment process," Other publications TiSEM a1c2cd6f-e0f5-446c-9702-7, Tilburg University, School of Economics and Management.
- Herings, P.J.J., 1994. "A globally and universally stable price adjustment process," Discussion Paper 1994-52, Tilburg University, Center for Economic Research.
- Bernhard von Stengel & Antoon van den Elzen & Dolf Talman, 2002.
"Computing Normal Form Perfect Equilibria for Extensive Two-Person Games,"
Econometrica, Econometric Society, vol. 70(2), pages 693-715, March.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1997. "Computing normal form perfect equilibria for extensive two-person games," Other publications TiSEM 4487e2bf-5bc1-47d3-819f-2, Tilburg University, School of Economics and Management.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1997. "Computing normal form perfect equilibria for extensive two-person games," Research Memorandum 752, Tilburg University, School of Economics and Management.
- von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 2002. "Computing normal form perfect equilibria for extensive two-person games," Other publications TiSEM 9f112346-b587-47f3-ad2e-6, Tilburg University, School of Economics and Management.
- Herings, P. Jean-Jacques & van den Elzen, Antoon, 2002.
"Computation of the Nash Equilibrium Selected by the Tracing Procedure in N-Person Games,"
Games and Economic Behavior, Elsevier, vol. 38(1), pages 89-117, January.
- Herings, P.J.J. & van den Elzen, A.H., 1998. "Computation of the Nash Equilibrium Selected by the Tracing Procedure in N-Person Games," Other publications TiSEM f30f7bfb-4975-4851-ac39-0, Tilburg University, School of Economics and Management.
- Herings, P.J.J. & van den Elzen, A.H., 1998. "Computation of the Nash Equilibrium Selected by the Tracing Procedure in N-Person Games," Discussion Paper 1998-04, Tilburg University, Center for Economic Research.
- P. Jean-Jacques Herings, 2000.
"Two simple proofs of the feasibility of the linear tracing procedure,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 485-490.
- Herings, P.J.J., 1997. "Two Simple Proofs of the Feasibility of the Linear Tracing Procedure," Other publications TiSEM aa81d194-cfe2-4200-8360-e, Tilburg University, School of Economics and Management.
- Herings, P.J.J., 1997. "Two Simple Proofs of the Feasibility of the Linear Tracing Procedure," Discussion Paper 1997-77, Tilburg University, Center for Economic Research.
- Pakes, Ariel & Ericson, Richard, 1998.
"Empirical Implications of Alternative Models of Firm Dynamics,"
Journal of Economic Theory, Elsevier, vol. 79(1), pages 1-45, March.
- Pakes, Ariel & Ericson, Richard, 1988. "Empirical Implications Of Alternative Models Of Firm Dynamics," SSRI Workshop Series 292694, University of Wisconsin-Madison, Social Systems Research Institute.
- Pakes, A. & Ericson, R., 1990. "Empirical Implications Of Alternative Models Of Firm Dynamics," Papers 594, Yale - Economic Growth Center.
- Ariel Pakes & Richard Ericson, 1989. "Empirical Implications of Alternative Models of Firm Dynamics," NBER Working Papers 2893, National Bureau of Economic Research, Inc.
- Maskin, Eric & Tirole, Jean, 2001.
"Markov Perfect Equilibrium: I. Observable Actions,"
Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
- Eric Maskin & Jean Tirole, 1997. "Markov Perfect Equilibrium, I: Observable Actions," Harvard Institute of Economic Research Working Papers 1799, Harvard - Institute of Economic Research.
- Olley, G Steven & Pakes, Ariel, 1996.
"The Dynamics of Productivity in the Telecommunications Equipment Industry,"
Econometrica, Econometric Society, vol. 64(6), pages 1263-1297, November.
- G. Steven Olley & Ariel Pakes, 1992. "The Dynamics of Productivity in the Telecommunications Equipment Industry," NBER Working Papers 3977, National Bureau of Economic Research, Inc.
- George S Olley & Ariel Pakes, 1992. "The Dynamics Of Productivity In The Telecommunications Equipment Industry," Working Papers 92-2, Center for Economic Studies, U.S. Census Bureau.
- Hans Haller & Roger Lagunoff, 2000.
"Genericity and Markovian Behavior in Stochastic Games,"
Econometrica, Econometric Society, vol. 68(5), pages 1231-1248, September.
- Hans Haller & Roger Lagunoff, 1999. "Genericity and Markovian Behavior in Stochastic Games," Game Theory and Information 9901003, University Library of Munich, Germany, revised 03 Jun 1999.
- Mas-Colell,Andreu, 1990.
"The Theory of General Economic Equilibrium,"
Cambridge Books,
Cambridge University Press, number 9780521388702, October.
- Mas-Colell,Andreu, 1985. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521265140, October.
- McKelvey, Richard D. & McLennan, Andrew, 1996. "Computation of equilibria in finite games," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 2, pages 87-142, Elsevier.
- Breton, Michele & Haurie, Alain & Filar, Jerzy A., 1986. "On the computation of equilibria in discounted stochastic dynamic games," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 33-36, June.
- van den Elzen, Antoon & Talman, Dolf, 1999. "An Algorithmic Approach toward the Tracing Procedure for Bi-matrix Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 130-145, July.
- Herings P. Jean-Jacques & Peeters R., 1999. "A Differentiable Homotopy to Compute Nash Equilibria of n-Person Games," Research Memorandum 038, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Von Stengel, Bernhard, 2002. "Computing equilibria for two-person games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 45, pages 1723-1759, Elsevier.
- Pakes, Ariel & McGuire, Paul, 2001. "Stochastic Algorithms, Symmetric Markov Perfect Equilibrium, and the 'Curse' of Dimensionality," Econometrica, Econometric Society, vol. 69(5), pages 1261-1281, September.
- Richard Mckelvey & Thomas Palfrey, 1998.
"Quantal Response Equilibria for Extensive Form Games,"
Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 9-41, June.
- McKelvey, Richard D. & Palfrey, Thomas R., 1995. "Quantal Response Equilibria for Extensive Form Games," Working Papers 947, California Institute of Technology, Division of the Humanities and Social Sciences.
- Andrew McLennan, 2005.
"The Expected Number of Nash Equilibria of a Normal Form Game,"
Econometrica, Econometric Society, vol. 73(1), pages 141-174, January.
- McLennan, A., 1999. "The Expected Number of Nash Equilibria of a Normal Form Game," Papers 306, Minnesota - Center for Economic Research.
- Herbert E. Scarf, 1967. "The Approximation of Fixed Points of a Continuous Mapping," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University.
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