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Mixed equilibria are unstable in games of strategic complements

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  • Echenique, Federico
  • Edlin, Aaron S.

Abstract

In games with strict strategic complementarities, properly mixed Nash equilibria - equilibria that are not in pure strategies - are unstable for broad class of learning dynamics.

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Bibliographic Info

Paper provided by Berkeley Olin Program in Law & Economics in its series Berkeley Olin Program in Law & Economics, Working Paper Series with number qt1ht651hk.

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Date of creation: 16 Oct 2004
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Handle: RePEc:cdl:oplwec:qt1ht651hk

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References

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  1. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
  2. Glenn Ellison & Drew Fudenberg, 1998. "Learning Purified Mixed Equilibria," Harvard Institute of Economic Research Working Papers 1817, Harvard - Institute of Economic Research.
  3. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  4. Fudenberg Drew & Kreps David M., 1993. "Learning Mixed Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 320-367, July.
  5. Drew Fudenberg & David K. Levine, 1996. "The Theory of Learning in Games," Levine's Working Paper Archive 624, David K. Levine.
  6. Benaim, Michel & Hirsch, Morris W., 1999. "Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 36-72, October.
  7. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  8. Crawford, Vincent P., 1985. "Learning behavior and mixed-strategy Nash equilibria," Journal of Economic Behavior & Organization, Elsevier, vol. 6(1), pages 69-78, March.
  9. Federico Echenique & Aaron Edlin, 2001. "Mixed Equilibria in Games of Strategic Complements are Unstable," Levine's Working Paper Archive 563824000000000161, David K. Levine.
  10. Y. Kanivokski & P. Young, 2010. "Learning Dynamics in Games with Stochastic Perturbations," Levine's Working Paper Archive 476, David K. Levine.
  11. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
  12. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
  13. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  14. Crawford, Vincent P, 1974. "Learning the Optimal Strategy in a Zero-Sum Game," Econometrica, Econometric Society, vol. 42(5), pages 885-91, September.
  15. Kaniovski Yuri M. & Young H. Peyton, 1995. "Learning Dynamics in Games with Stochastic Perturbations," Games and Economic Behavior, Elsevier, vol. 11(2), pages 330-363, November.
  16. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-406, November.
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Cited by:
  1. Mathevet, Laurent & Taneva, Ina, 2013. "Finite supermodular design with interdependent valuations," Games and Economic Behavior, Elsevier, vol. 82(C), pages 327-349.
  2. Dessy, Sylvain & Djebbari, Habiba, 2005. "Career Choice, Marriage-Timing, and the Attraction of Unequals," IZA Discussion Papers 1561, Institute for the Study of Labor (IZA).
  3. Hennessy, David A., 2008. "Biosecurity incentives, network effects, and entry of a rapidly spreading pest," Ecological Economics, Elsevier, vol. 68(1-2), pages 230-239, December.
  4. Dimitrios Varvarigos, 2013. "Economic Growth, Health, and the Choice of Polluting Technologies: The Role of Bureaucratic Corruption," Discussion Papers in Economics 13/22, Department of Economics, University of Leicester.
  5. Takahashi, Satoru, 2008. "The number of pure Nash equilibria in a random game with nondecreasing best responses," Games and Economic Behavior, Elsevier, vol. 63(1), pages 328-340, May.
  6. Rauh, Michael T., 2009. "Strategic complementarities and search market equilibrium," Games and Economic Behavior, Elsevier, vol. 66(2), pages 959-978, July.
  7. Antonio Merlo & Andrea Mattozzi, 2005. "Political Careers or Career Politicians?," 2005 Meeting Papers 740, Society for Economic Dynamics.
  8. Sylvain Dessy & Jacques Ewoudou & Isabelle Ouellet, 2006. "Understanding the Persistent Low Performance of African Agriculture," Cahiers de recherche 0622, CIRPEE.
  9. Partha Gangopadhyay & Biswa N. Bhattacharyay, 2012. "Can there be a Wave-Like Association between Economic Growth and Inequality? Theory and Lessons for East Asia from the Middle East," CESifo Working Paper Series 3953, CESifo Group Munich.
  10. Sylvain Dessy & Jacques Ewoudou, 2006. "Microfinance and Female Empowerment," Cahiers de recherche 0603, CIRPEE.
  11. Ewoudou, Jacques & Tsimpo, Clarence & Wodon, Quentin, 2009. "Stigma and the take-up of social programs," Policy Research Working Paper Series 4962, The World Bank.
  12. Sandholm, William H., 2007. "Evolution in Bayesian games II: Stability of purified equilibria," Journal of Economic Theory, Elsevier, vol. 136(1), pages 641-667, September.
  13. Tomas Rodriguez Barraquer, 2013. "From sets of equilibria to structures of interaction underlying binary games of strategic complements," Discussion Paper Series dp655, The Center for the Study of Rationality, Hebrew University, Jerusalem.

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