A consistent route to randomness
AbstractFully rational agents are allowed to optimize over expectations formation technologies in an environment where it is costly to collect and process information. It is shown in a general equilibrium framework that optimization over expectations by rational and forward-oriented agents can lead to endogenous instability. Specifically, we illustrate that resulting equilibria can be both chaotic and self-consistent with the distribution of agents' expected forecasting errors coinciding with the actual errors implied by the endogenous dynamic process. Moreover, we show that the equilibrium dynamics, while being purely deterministic, need not be distinguishable from stochastic dynamics to an outside rational observer.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 145 (2010)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/622869
Rational selection over expectations Endogenous instability Chaos Consistent equilibria Costly information acquisition;
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- Christian Hellwig & Laura Veldkamp, 2006.
"Knowing what others Know: Coordination motives in information acquisition,"
2006 Meeting Papers
361, Society for Economic Dynamics.
- Christian Hellwig & Laura Veldkamp, 2009. "Knowing What Others Know: Coordination Motives in Information Acquisition," Review of Economic Studies, Oxford University Press, vol. 76(1), pages 223-251.
- Hellwig, Christian & Veldkamp, Laura, 2007. "Knowing What Others Know: Coordination Motives in Information Acquisition," CEPR Discussion Papers 6506, C.E.P.R. Discussion Papers.
- Laura Veldkamp & Christian Hellwig, 2006. "Knowing What Others Know: Coordination Motives in Information Acquisition," Working Papers 06-14, New York University, Leonard N. Stern School of Business, Department of Economics.
- Marcet, Albert & Sargent, Thomas J, 1988. "The Fate of Systems with "Adaptive" Expectations," American Economic Review, American Economic Association, vol. 78(2), pages 168-72, May.
- Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
- Bullard James, 1994.
Journal of Economic Theory,
Elsevier, vol. 64(2), pages 468-485, December.
- Jean-Michel Grandmont, 1998. "Expectations Formation and Stability of Large Socioeconomic Systems," Econometrica, Econometric Society, vol. 66(4), pages 741-782, July.
- Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February.
- Ricardo Reis, 2006.
Review of Economic Studies,
Oxford University Press, vol. 73(3), pages 793-821.
- Reis, Ricardo, 2005. "Inattentive Producers," CEPR Discussion Papers 5393, C.E.P.R. Discussion Papers.
- Ricardo Reis, 2005. "Inattentive Producers," NBER Working Papers 11820, National Bureau of Economic Research, Inc.
- Ricardo Reis, 2005. "Inattentive Producers," 2005 Meeting Papers 290, Society for Economic Dynamics.
- 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.
- Kiminori Matsuyama, 1996.
"Growing Through Cycles,"
1203, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Ricardo Reis, 2004.
NBER Working Papers
10883, National Bureau of Economic Research, Inc.
- repec:att:wimass:9530 is not listed on IDEAS
- repec:att:wimass:9624 is not listed on IDEAS
- Townsend, Robert M, 1983. "Forecasting the Forecasts of Others," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 546-88, August.
- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-24, March.
- Evans, George W & Honkapohja, Seppo, 1995. "Local Convergence of Recursive Learning to Steady States and Cycles in Stochastic Nonlinear Models," Econometrica, Econometric Society, vol. 63(1), pages 195-206, January.
- William A. Brock & Patrick de Fontnouvelle, 1996.
"Expectational Diversity in Monetary Economies,"
96-11-084, Santa Fe Institute.
- Radunskaya, Amy, 1994. "Comparing Random and Deterministic Time Series," Economic Theory, Springer, vol. 4(5), pages 765-76, August.
- Brock, William A. & de Fontnouvelle, Patrick, 2000.
"Expectational diversity in monetary economies1,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 24(5-7), pages 725-759, June.
- Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
- Branch, William A. & Evans, George W., 2006.
"Intrinsic heterogeneity in expectation formation,"
Journal of Economic Theory,
Elsevier, vol. 127(1), pages 264-295, March.
- George Evans & William Branch, 2003. "Intrinsic Heterogeneity in Expectation Formation," Computing in Economics and Finance 2003 312, Society for Computational Economics.
- Bill Branch & George W. Evans, 2003. "Intrinsic Heterogeneity in Expectation Formation," University of Oregon Economics Department Working Papers 2003-32, University of Oregon Economics Department, revised 04 Oct 2004.
- William Brock & Pietro Dindo & Cars Hommes, 2006. "Adaptive rational equilibrium with forward looking agents," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3-4), pages 241-278.
- Schonhofer, Martin, 1999. "Chaotic Learning Equilibria," Journal of Economic Theory, Elsevier, vol. 89(1), pages 1-20, November.
- Gomes, Orlando, 2012. "Rational thinking under costly information—Macroeconomic implications," Economics Letters, Elsevier, vol. 115(3), pages 427-430.
- Ali Khan, M. & Piazza, Adriana, 2011. "Optimal cyclicity and chaos in the 2-sector RSS model: An anything-goes construction," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 397-417.
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