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Coordination on Saddle-Path Solutions: the Eductive Viewpoint - Linear Multivariate Models

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Author Info
George W. Evans
Roger Guesnerie

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Abstract

We examine local strong rationality (LSR) in multivariate models with both forward-looking expectations and predetermined variables. Given hypothetical common knowledge restrictions that the dynamics will be close to those of a specified minimal state variable solution, we obtain eductive stability conditions for the solution to be LSR. In the saddlepoint stable case the saddle-path solution is LSR provided the model is structurally homogeneous across agents. However, the eductive stability conditions are strictly more demanding when heterogeneity is present, as can be expected in multisectoral models. Heterogeneity is thus a potentially important source of instability even in the saddlepoint stable case.

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Paper provided by DELTA (Ecole normale supérieure) in its series DELTA Working Papers with number 2003-28.

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Date of creation: 2003
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Handle: RePEc:del:abcdef:2003-28

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  1. Moulin, Herve, 1979. "Dominance Solvable Voting Schemes," Econometrica, Econometric Society, vol. 47(6), pages 1137-51, November. [Downloadable!] (restricted)
  2. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July. [Downloadable!] (restricted)
  3. Gauthier, Stephane, 2002. "Determinacy and Stability under Learning of Rational Expectations Equilibria," Journal of Economic Theory, Elsevier, vol. 102(2), pages 354-374, February. [Downloadable!] (restricted)
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  4. R. Guesnerie, 2002. "Anchoring Economic Predictions in Common Knowledge," Econometrica, Econometric Society, vol. 70(2), pages 439-480, March. [Downloadable!] (restricted)
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  5. Chiappori, Pierre Andre & Guesnerie, Roger, 1991. "Sunspot equilibria in sequential markets models," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 32, pages 1683-1762 Elsevier. [Downloadable!] (restricted)
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  6. Evans, George, 1985. "Expectational Stability and the Multiple Equilibria Problem in Linear Rational Expectations Models," The Quarterly Journal of Economics, MIT Press, vol. 100(4), pages 1217-33, November. [Downloadable!] (restricted)
  7. George W. Evans & Roger Guesnerie, 1999. "Coordination on saddle path solutions: the eductive viewpoint," University of Oregon Economics Department Working Papers 2001-7, University of Oregon Economics Department, revised 15 May 2001. [Downloadable!]
  8. repec:cup:macdyn:v:7:y:2003:i:1:p:63-88 is not listed on IDEAS
  9. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October. [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. Bennett T. McCallum, 1983. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. Evans George W. & Guesnerie Roger, 1993. "Rationalizability, Strong Rationality, and Expectational Stability," Games and Economic Behavior, Elsevier, vol. 5(4), pages 632-646, October. [Downloadable!] (restricted)
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  13. Gauthier, St phane, 2003. "Dynamic Equivalence Principle In Linear Rational Expectations Models," Macroeconomic Dynamics, Cambridge University Press, vol. 7(01), pages 63-88, February. [Downloadable!]
  14. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July. [Downloadable!] (restricted)
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  1. Bennett T. McCallum, 2006. "E-Stability vis-a-vis Determinacy Results for a Broad Class of Linear Rational Expectations Models," NBER Working Papers 12441, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Domenico Colucci & Vincenzo Valori, 2009. "Heterogeneous adaptive expectations and cobweb phenomena," DiMaD Working Papers 2009-01, Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze. [Downloadable!]
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