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Beliefs equilibria in an overlapping generations model

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  • Tuinstra, Jan

Abstract

We consider a standard two generations version of the overlapping generations model. Agents predict inflation rates on the basis of a perceived law of motion, which is estimated by running a linear regression on past inflation rates. We introduce the notion of Beliefs Equilibrium. At such an equilibrium i) the perceived law of motion is such that it fits the time series of inflation rates best, and ii) this time series of actual inflation rates is generated when agents use that perceived law of motion. We show that beliefs might converge, although inflation rates keep on fluctuating. These fluctuations are consistent with the limit belief.
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  • Tuinstra, Jan, 2003. "Beliefs equilibria in an overlapping generations model," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 145-164, February.
  • Handle: RePEc:eee:jeborg:v:50:y:2003:i:2:p:145-164
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    1. Bullard James, 1994. "Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 64(2), pages 468-485, December.
    2. Jan Tuinstra & Florian Wagener, 2007. "On learning equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 493-513, March.
    3. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
    4. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    5. Jan Tuinstra & Claus Weddepohl, 1999. "On the equivalence between the overlapping-generations model and cyclical general-equilibrium models," Journal of Economics, Springer, vol. 70(2), pages 187-207, June.
    6. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
    7. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
    8. Lettau, M. & Van Zandt, T., 1995. "Robustness of Adaptive Expections as an Equilibrium Selection Device," Papers 9598, Tilburg - Center for Economic Research.
    9. Donald A. Walker (ed.), 2000. "Equilibrium," Books, Edward Elgar Publishing, volume 0, number 1585.
    10. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-1160, September.
    11. Evans, George W. & Honkapohja, Seppo, 1999. "Learning dynamics," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 7, pages 449-542 Elsevier.
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    Cited by:

    1. Cellarier, Laurent L., 2008. "Least squares learning and business cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 553-564, December.
    2. Colucci, Domenico & Valori, Vincenzo, 2005. "Error learning behaviour and stability revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 371-388, March.
    3. Orlando Gomes, 2010. "Ordinary Least Squares Learning And Nonlinearities In Macroeconomics," Journal of Economic Surveys, Wiley Blackwell, vol. 24(1), pages 52-84, February.
    4. Brock, W.A. & Dindo, P.D.E. & Hommes, C.H., 2005. "Adaptive Rational Equilibrium with Forward Looking Agents, fortcoming in International Journal of Economic Theory (IJET) 2006, special issue in honor of Jean-Michel Grandmont," CeNDEF Working Papers 05-15, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    5. Heemeijer Peter & Hommes Cars & Sonnemans Joep & Tuinstra Jan, 2012. "An Experimental Study on Expectations and Learning in Overlapping Generations Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-49, October.
    6. Cellarier, Laurent L., 2013. "A family production overlapping generations economy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2168-2179.
    7. Hommes, Cars & Kiseleva, Tatiana & Kuznetsov, Yuri & Verbic, Miroslav, 2012. "Is More Memory In Evolutionary Selection (De)Stabilizing?," Macroeconomic Dynamics, Cambridge University Press, vol. 16(03), pages 335-357, June.
    8. Hommes, Cars & Zhu, Mei, 2014. "Behavioral learning equilibria," Journal of Economic Theory, Elsevier, vol. 150(C), pages 778-814.
    9. Jan Tuinstra & Florian Wagener, 2007. "On learning equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 493-513, March.
    10. repec:spr:joevec:v:27:y:2017:i:5:d:10.1007_s00191-017-0522-8 is not listed on IDEAS
    11. Cars Hommes, 2017. "From self-fulfilling mistakes to behavioral learning equilibria," Tinbergen Institute Discussion Papers 17-018/II, Tinbergen Institute.
    12. Branch, William A. & McGough, Bruce, 2005. "Consistent expectations and misspecification in stochastic non-linear economies," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 659-676, April.

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