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

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  • George W. Evans

    (University of Oregon Economics Department)

  • Roger Guesnerie

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.

Suggested Citation

  • George W. Evans & Roger Guesnerie, 2003. "Coordination on Saddle-Path Solutions: The Eductive Viewpoint -- Linear Multivariate Models," University of Oregon Economics Department Working Papers 2003-28, University of Oregon Economics Department, revised 25 Jan 2005.
    • Handle: RePEc:ore:uoecwp:2003-28
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    References listed on IDEAS

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    Cited by:

    1. Parke, William R. & Waters, George A., 2014. "On The Evolutionary Stability Of Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 18(7), pages 1581-1606, October.
    2. Yuting Bai & Tatiana Kirsanova, 2013. "Infrequent Fiscal Stabilization," Working Papers 2013_01, Business School - Economics, University of Glasgow.
    3. Cho, In-Koo, 2005. "Introduction to learning and bounded rationality," Journal of Economic Theory, Elsevier, vol. 124(2), pages 127-128, October.
    4. Roger Guesnerie, 2009. "Macroeconomic and Monetary Policies from the Eductive Viewpoint," Central Banking, Analysis, and Economic Policies Book Series, in: Klaus Schmidt-Hebbel & Carl E. Walsh & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Series (ed.),Monetary Policy under Uncertainty and Learning, edition 1, volume 13, chapter 6, pages 171-202, Central Bank of Chile.
    5. George W Evans & Roger Guesnerie & Bruce McGough, 2019. "Eductive Stability in Real Business Cycle Models," The Economic Journal, Royal Economic Society, vol. 129(618), pages 821-852.
    6. Colucci, Domenico & Valori, Vincenzo, 2011. "Adaptive expectations and cobweb phenomena: Does heterogeneity matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1307-1321, August.
    7. Gaballo, Gaetano, 2013. "Eductive learning and the rationalizability of oligopoly games," Economics Letters, Elsevier, vol. 120(3), pages 401-404.
    8. Dennis, Richard & Kirsanova, Tatiana, 2010. "Expectations Traps and Coordination Failures: Selecting among Multiple Discretionary Equilibria," MPRA Paper 24616, University Library of Munich, Germany.
    9. Jara-Moroni, Pedro, 2012. "Rationalizability in games with a continuum of players," Games and Economic Behavior, Elsevier, vol. 75(2), pages 668-684.
    10. Harvey Gram & Geoffrey Harcourt, 2015. "Joan Robinson and MIT," Working Papers 9, City University of New York Graduate Center, Ph.D. Program in Economics.
    11. Roger Guesnerie & Pedro Jara-Moroni, 2011. "Expectational coordination in simple economic contexts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 205-246, June.
    12. Martin Guzman & Joseph E Stiglitz, 2020. "Towards a dynamic disequilibrium theory with randomness," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 36(3), pages 621-674.
    13. Domenico Colucci & Vincenzo Valori, 2009. "Heterogeneous adaptive expectations and cobweb phenomena," Working Papers - Mathematical Economics 2009-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    14. George W Evans & Roger Guesnerie & Bruce McGough, 2019. "Eductive Stability in Real Business Cycle Models," Economic Journal, Royal Economic Society, vol. 129(618), pages 821-852.
    15. McClung, Nigel, 2020. "E-stability vis-à-vis determinacy in regime-switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    16. Richard Dennis & Tatiana Kirsanova, 2013. "Expectations Traps and Coordination Failures with Discretionary Policymaking," ANU Working Papers in Economics and Econometrics 2013-611, Australian National University, College of Business and Economics, School of Economics.
    17. Mordecai Kurz, 2011. "Symposium: on the role of market belief in economic dynamics, an introduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 189-204, June.
    18. Gliksberg, Baruch, 2010. "The Role of Consumption-Labor Complementarity as a Source of Macroeconomic Instability," MPRA Paper 24816, University Library of Munich, Germany.

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    More about this item

    Keywords

    Coordination; structural heterogeneity; strong rationality; eductive stability; multisectoral models;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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