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The B.E. Journal of Theoretical Economics

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The Rationality of Expectations Formation

Julio Dávila
  • Corresponding author
  • Center for Operations Research and Econometrics, Université c. de Louvain, Louvain-la-Neuve, Belgium
  • Email:
Published Online: 2016-02-11 | DOI: https://doi.org/10.1515/bejte-2014-0082

Abstract

Rational expectations are not required to follow from beliefs that explain well history, but just to correctly foresee the future. As a consequence, at a rational expectations equilibrium, the agents’ expectations may follow from beliefs that explain poorly the observed history, even among those rationalizing their choices. This paper shows, firstly, that if agents hold rationally formed expectations instead – in the sense of following from beliefs that explain history better than any other beliefs justifying their choices – then allocations unsupported by rational expectations can be shown to be equilibrium outcomes. By means of this result, it is established, secondly, that adding the common knowledge of the rationality of the formation of expectations to that of the rationality of choices and of market clearing, still does not suffice to guarantee rational expectations. Finally, the rationally formed expectations equilibria produced in this paper exhibit a sunspot-like volatility that, interestingly enough, do not rely on an explicit sunspot mechanism.

Keywords: rationality; expectations; overlapping generations

JEL: D84; D5; E3

References

  • Aumann, R., and A. Brandenburger. 1995. “Epistemic Conditions for Nash Equilibrium.” Econometrica 63:1161–80. [Crossref]

  • Azariadis, C. 1981. “Self-Fulfilling Prophecies.” Journal of Economic Theory 25:380–96. [Crossref]

  • Azariadis, C., and R. Guesnerie. 1986. “Sunspots and Cycles.” Review of Economic Studies 53:725–36. [Web of Science] [Crossref]

  • Ben-Porath, E., and A. Heifetz. 2010. “Common knowledge of rationality and market clearing in economies with asymmetric information.” CMS-EMS Discussion Paper #1487.

  • Blume, L. E., and D. Easley. 1982. “Learning To Be Rational.” Journal of Economic Theory 26:340–51. [Web of Science] [Crossref]

  • Bray, M. 1982. “Learning, Estimation and the Stability of Rational Expectations.” Journal of Economic Theory 26:318–39. [Crossref]

  • Bray, M. 1983. “Convergence to Rational Expectations Equilibrium.” In Individual Forecasting and Aggregate Outcomes, edited by R. Frydman and E. S. Phelps, 123–138. Cambridge: Cambridge University Press.

  • Cass, D., and K. Shell. 1983. “Do Sunspots Matter?” Journal of Political Economy 91:193–227. [Crossref]

  • Chiappori, P. A., and J. Dávila. 1996. “Cycles and Sunspots: The Poincaré-Höpf Approach.” Journal of Mathematical Economics 26:269–84. [Crossref]

  • Chiappori, P. A., and R. Guesnerie. 1988. “Endogenous Fluctuations Under Rational Expectations.” European Economic Review 32:389–97. [Crossref]

  • Chiappori, P. A., and R. Guesnerie. 1989. “On Stationary Sunspot Equilibria of Order k.” In Economic Complexity, Chaos, Sunspots, Bubbles and Nonlinearity, edited by W. Barnett, S. Geweke and K. Shell. Cambridge: Cambridge University Press.

  • Geanakoplos, J., and H. Polemarchakis. 1982. “We Can’t Disagree Forever.” Journal of Economic Theory 28:192–200. [Crossref]

  • Guesnerie, R. 1986. “Stationary Sunspot Equilibria in an n-Commodity World.” Journal of Economic Theory 40:103–28. [Crossref]

  • Hommes, C. H. 1998. “On the Consistency of Backward-Looking Expectations: The Case of the Cobweb.” Journal of Economic Behavior & Organization 33:333–62. [Crossref]

  • Hommes, C. H., and G. Sorger. 1998. “Consistent Expectations Equilibria.” Macroeconomic Dynamics 2:287–321.

  • Kurz, M. 1994a. “On Rational Belief Equilibria.” Economic Theory 4:859–76. [Crossref]

  • Kurz, M. 1994b. “On the Structure and Diversity of Rational Beliefs.” Economic Theory 4:877–900. [Crossref]

  • Lucas, R. E. 1978. “Asset Prices in an Exchange Economy.” Econometrica 46 (6):1249–445. [Crossref]

  • Lucas, R. E. 1986. “Adaptive Behavior and Economic Theory.” Journal of Business 59 (4):S401–S426.

  • McAllister, J. 1990. “Rational Behavior and Rational Expectations.” Journal of Economic Theory 52:332–63. [Crossref]

  • Morris, S. 1995. “Justifying Rational Expectations”, CARESS working paper.

  • Newey, W. K., and R. J. Smith. 2004. “Higher Order Properties of GMM and Generalized Empirical Likelihood Estimators.” Econometrica 72 (1):219–55. [Crossref]

  • Owen, A. B. 1988. “Empirical Likelihood Ratio Confidence Intervals for a Single Functional.” Biometrika 75 (2):237–49. [Crossref]

  • Radner, R. 1979. “Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices.” Econometrica 47:655–78. [Crossref]

  • Spear, S. E., and S. Srivastava. 1986. “Markov Rational in an Overlapping Expectations Equilibria Generations Model.” Journal of Economic Theory 38:35–62. [Crossref]

About the article

Published Online: 2016-02-11

Published in Print: 2016-06-01


Funding: Research funding from the research grants MIS-Ulysse 6007.09 and PDR T.0044.13 of the Belgian F.R.S-FNRS is gratefully acknowledged.



Citation Information: The B.E. Journal of Theoretical Economics, ISSN (Online) 1935-1704, ISSN (Print) 2194-6124, DOI: https://doi.org/10.1515/bejte-2014-0082. Export Citation

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