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Expectational Stability in Multivariate Models


  • Seonghoon Cho

    () (School of Economics, Yonsei University, Seoul, Korea)

  • Antonio Moreno

    () (Department of Economics, University of Navarra, Pamplona, Spain)


This paper shows that the concept of Expectational stability (E-stability) in a multivariate framework is inherently model-dependent. Whereas a Rational Expectations equilibrium (REE) is subject to model-specific parameter restrictions from the economic model at hand, a perceived law of motion (PLM) is postulated without such restrictions because economic agents are not likely to know the restrictions a priori. Therefore, an unrestricted PLM is in general overparameterized relative to an REE of interest in multivariate models even when the functional form is the same as the REE. Since E-stability necessarily involves model-specific extents of overparameterization, it is model-dependent in general. An immediate implication is that E-stability in a multivariate framework is not directly comparable across models and, in particular, across different representations of a given model. This implies that one may draw different conclusions on E-stability of an REE to one model under alternative representations of the model and the REE. We discuss a potential direction to develop a model-independent concept of E-stability.

Suggested Citation

  • Seonghoon Cho & Antonio Moreno, 2008. "Expectational Stability in Multivariate Models," Faculty Working Papers 06/08, School of Economics and Business Administration, University of Navarra.
  • Handle: RePEc:una:unccee:wp0608

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    References listed on IDEAS

    1. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
    2. George W. Evans & Seppo Honkapohja, 2003. "Expectations and the Stability Problem for Optimal Monetary Policies," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 807-824.
    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.
    4. Giannitsarou, Chryssi, 2005. "E-Stability Does Not Imply Learnability," Macroeconomic Dynamics, Cambridge University Press, vol. 9(02), pages 276-287, April.
    5. Evans George W & Honkapohja Seppo M.S. & Marimon Ramon, 2007. "Stable Sunspot Equilibria in a Cash-in-Advance Economy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 7(1), pages 1-38, January.
    6. McCallum, Bennett T., 2007. "E-stability vis-a-vis determinacy results for a broad class of linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1376-1391, April.
    7. Klaus Adam, 2003. "Learning and Equilibrium Selection in a Monetary Overlapping Generations Model with Sticky Prices," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 887-907.
    8. Evans, George W. & Honkapohja, Seppo, 2003. "Expectational stability of stationary sunspot equilibria in a forward-looking linear model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 171-181, October.
    9. Heinemann, Maik, 2000. "Convergence Of Adaptive Learning And Expectational Stability: The Case Of Multiple Rational-Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 4(03), pages 263-288, September.
    10. Adam, Klaus & Evans, George W. & Honkapohja, Seppo, 2006. "Are hyperinflation paths learnable?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2725-2748, December.
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    More about this item


    E-stability; Rational Expectations Equilibrium; Overparameterization; Multivariate model;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations


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