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Expectational coordination in a class of economic models: Strategic substitutabilities versus strategic complementarities

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Roger Guesnerie
Pedro Jara-Moroni

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Abstract

We consider an economic model that features: 1. a continuum of agents 2. an aggregate state of the world over which agents have an infinitesimal influence. We first propose a review, based on work by Jara (2007), of the connections between the "eductive viewpoint" that puts emphasis on "Strongly Rational Expectations equilibrium" and the standard game-theoretical rationalizability concepts. We explore the scope and limits of this connection depending on whether standard rationalizability versus point-rationalizability, or the local versus the global viewpoint, are concerned. In particular, we define and characterize the set of "Point-Rationalizable States" and prove its convexity. Also, we clarify the role of the heterogeneity of beliefs in general contexts of expectational coordination (see Evans and Guesnerie, 2005). Then, as in the case of strategic complementarities the study of some "best response" mapping is a key to the analysis, in the case of "unambiguous" strategic substitutabilities the study of some second iterate, and of the corresponding two-period cycles, allows to describe the point-rationalizable states. We provide application in microeconomic and macroeconomic contexts.

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Paper provided by PSE (Ecole normale supérieure) in its series PSE Working Papers with number 2007-28.

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Date of creation: 2007
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Handle: RePEc:pse:psecon:2007-28

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  1. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November. [Downloadable!] (restricted)
  2. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June. [Downloadable!] (restricted)
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  3. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-97, June. [Downloadable!] (restricted)
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  4. Gabriel Desgranges, 2000. "CK-Equilibria and Informational Efficiency in a Competitive Economy," Econometric Society World Congress 2000 Contributed Papers 1296, Econometric Society. [Downloadable!]
  5. DeCanio, Stephen J, 1979. "Rational Expectations and Learning from Experience," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 47-57, February. [Downloadable!] (restricted)
  6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  7. Pedro Jara-Moroni, 2007. "Rationalizability in games with a continuum of players," PSE Working Papers 2007-25, PSE (Ecole normale supérieure), revised Apr 2008. [Downloadable!]
  8. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321. [Downloadable!] (restricted)
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  9. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July. [Downloadable!] (restricted)
  10. Guesnerie, Roger, 1992. "An Exploration of the Eductive Justifications of the Rational-Expectations Hypothesis," American Economic Review, American Economic Association, vol. 82(5), pages 1254-78, December. [Downloadable!] (restricted)
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  11. Christophe Chamley, 1999. "Coordinating Regime Switches," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 869-905, August. [Downloadable!] (restricted)
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  1. Roger Guesnerie, 2008. "Macroeconomic And Monetary Policies From The Eductive Viewpoint," Working Papers Central Bank of Chile 498, Central Bank of Chile. [Downloadable!]
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