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

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  • George W. Evans
  • 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," DELTA Working Papers 2003-28, DELTA (Ecole normale supérieure).
  • Handle: RePEc:del:abcdef:2003-28
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Harvey Gram & Geoffrey Harcourt, 2015. "Joan Robinson and MIT," Working Papers 9, City University of New York Graduate Center, Ph.D. Program in Economics.
    5. George W. Evans & Roger Guesnerie & Bruce Mcgough, 2010. "Eductive stability in real business cycle models," PSE Working Papers halshs-00565011, HAL.
    6. Yuting Bai & Tatiana Kirsanova, 2013. "Infrequent Fiscal Stabilization," Working Papers 2013_01, Business School - Economics, University of Glasgow.
    7. Gliksberg, Baruch, 2010. "The Role of Consumption-Labor Complementarity as a Source of Macroeconomic Instability," MPRA Paper 24816, University Library of Munich, Germany.
    8. Cho, In-Koo, 2005. "Introduction to learning and bounded rationality," Journal of Economic Theory, Elsevier, vol. 124(2), pages 127-128, October.
    9. 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.
    10. Gaballo, Gaetano, 2013. "Eductive learning and the rationalizability of oligopoly games," Economics Letters, Elsevier, vol. 120(3), pages 401-404.
    11. Jara-Moroni, Pedro, 2012. "Rationalizability in games with a continuum of players," Games and Economic Behavior, Elsevier, vol. 75(2), pages 668-684.

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    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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