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Are Sunspots Necessary?

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  • Spear, Stephen E

Abstract

In this paper, the author shows the existence of stationary rational expectations equilibria in a simple, two-island, overlapping-generations model of the type first considered by Robert E. Lucas, Jr., in which all uncertainty is endogenous. The result is obtained by first constructing "sunspot" equilibria on each island separately and then using the equilibrium pricing equations to eliminate the sunspot variable. In the resulting equilibrium, each island's prices serve as the sunspot for the other island. The constructed equilibrium is nontrivially stochastic. Copyright 1989 by University of Chicago Press.

Suggested Citation

  • Spear, Stephen E, 1989. "Are Sunspots Necessary?," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 965-973, August.
    • Handle: RePEc:ucp:jpolec:v:97:y:1989:i:4:p:965-73
    DOI: 10.1086/261636
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    Citations

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    Cited by:

    1. Lise Clain-Chamosset-Yvrard & Takashi Kamihigashi, 2015. "International Transmission of Bubble Crashes in a Two-Country Overlapping Generations," Discussion Paper Series DP2015-43, Research Institute for Economics & Business Administration, Kobe University.
    2. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
    3. Orrego, Fabrizio, 2011. "Habit formation and sunspots in overlapping generations models," Working Papers 2011-013, Banco Central de Reserva del Perú.
    4. Clain-Chamosset-Yvrard, Lise & Kamihigashi, Takashi, 2017. "International transmission of bubble crashes in a two-country overlapping generations model," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 115-126.
    5. Jess Benhabib & Pengfei Wang & Yi Wen, 2017. "Uncertainty and Sentiment-Driven Equilibria," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 281-304, Springer.
    6. Benhabib, Jess & Wang, Pengfei, 2015. "Private information and sunspots in sequential asset markets," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 558-584.
    7. Acharya, Sushant & Benhabib, Jess & Huo, Zhen, 2021. "The anatomy of sentiment-driven fluctuations," Journal of Economic Theory, Elsevier, vol. 195(C).
    8. Todd Keister, 2009. "Expectations And Contagion In Self-Fulfilling Currency Attacks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(3), pages 991-1012, August.
    9. Russell, Steven, 1997. ""Quasifundamental" Variation in the Price Level and the Inflation Rate," Journal of Economic Theory, Elsevier, vol. 74(1), pages 106-151, May.
    10. Xu, Zhiwei & Zhou, Fei & Zhou, Jing, 2022. "Sentiments and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    11. Jackson Matthew O., 1994. "A Proof of the Existence of Speculative Equilibria," Journal of Economic Theory, Elsevier, vol. 64(1), pages 221-233, October.

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