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The Structure of Sunspot Equilibria: The Role of Multiplicity

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  • Piero Gottardi
  • Atsushi Kajii

Abstract

This paper examines the structure of sunspot equilibria in a standard two period exchange economy with real assets. We show that for a generic choice of utility functions and endowments, there exists an open set of real asset structures whose payoffs are independent of sunspots such that the economy with this asset structure has a regular sunspot equilibrium. An important implication of our result is that the multiplicity of non-sunspot equilibria is not necessary for the existence of sunspot equilibria. Our technique is general and can be applied to show the existence of sunspot equilibria in other frameworks.

Suggested Citation

  • Piero Gottardi & Atsushi Kajii, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 713-732.
    • Handle: RePEc:oup:restud:v:66:y:1999:i:3:p:713-732.
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    File URL: http://hdl.handle.net/10.1111/1467-937X.00105
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    Citations

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    Cited by:

    1. Thorsten Hens & Beate Pilgrim, "undated". "Subsidizing Charitable Giving in a Field Experiment," IEW - Working Papers 070, Institute for Empirical Research in Economics - University of Zurich.
    2. Alessandro, CITANNA & SCHMEDDERS, Karl, 2002. "Controlling price volatility through financial innovation," HEC Research Papers Series 749, HEC Paris.
    3. Atsushi Kajii, 2009. "Sunspot Equilibria In A Production Economy: Do Rational Animal Spirits Cause Overproduction?," The Japanese Economic Review, Japanese Economic Association, vol. 60(1), pages 35-54, March.
    4. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Norwegian School of Economics, Department of Business and Management Science.
    5. Acharya, Sushant & Benhabib, Jess & Huo, Zhen, 2021. "The anatomy of sentiment-driven fluctuations," Journal of Economic Theory, Elsevier, vol. 195(C).
    6. Franklin Allen & Douglas Gale, 2003. "Financial Fragility, Liquidity and Asset Prices," Center for Financial Institutions Working Papers 01-37, Wharton School Center for Financial Institutions, University of Pennsylvania.
    7. Atsushi Kajii, 2007. "Welfare Gains And Losses In Sunspot Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 329-344, September.
    8. Luis Fernando Medina, 2005. "The Comparative Statics of Collective Action: A Pragmatic Approach to Games with Multiple Equilibria," Rationality and Society, , vol. 17(4), pages 423-452, November.
    9. Julio Dávila & Piero Gottardi & Atsushi Kajii, 2007. "Local Sunspot Equilibria Reconsidered," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 401-425, June.
    10. Thorsten Hens & Beate Pilgrim & Janos Mayer, "undated". "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," IEW - Working Papers 188, Institute for Empirical Research in Economics - University of Zurich.
    11. Hens, Thorsten & Mayer, Janós & Pilgrim, Beate, 2004. "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," Discussion Papers 2004/15, Norwegian School of Economics, Department of Business and Management Science.
    12. Akira Okada, 2009. "Announcement," The Japanese Economic Review, Japanese Economic Association, vol. 60(1), pages 33-34.
    13. Acharya, Sushant & Dogra, Keshav & Singh, Sanjay, 2021. "The Financial Origins of Non-Fundamental Risk," CEPR Discussion Papers 16793, C.E.P.R. Discussion Papers.
    14. Drèze, Jacques H. & Herings, P. Jean-Jacques, 2008. "Sequentially complete markets remain incomplete," Economics Letters, Elsevier, vol. 100(3), pages 445-447, September.
    15. Citanna, Alessandro & Siconolfi, Paolo, 2007. "Short-memory equilibrium in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 134(1), pages 448-469, May.
    16. Xu, Zhiwei & Zhou, Fei & Zhou, Jing, 2022. "Sentiments and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 141(C).
    17. Thorsten Hens & Beate Pilgrim, 2004. "Sunspot equilibria and the transfer paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 583-602, October.
    18. Aditya Goenka & Stefano Matta, 2008. "Manipulation of endowments and sunspot equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 267-282, August.
    19. Gottardi, Piero & Kajii, Atsushi, 2003. "A note on the regularity of competitive equilibria and asset structures," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 763-776, September.
    20. Hoelle, Matthew, 2014. "The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 119-127.
    21. Stangebye, Zachary, 2015. "Dynamic Panics: Theory and Application to the Eurozone," MPRA Paper 69967, University Library of Munich, Germany.

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