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The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets

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  • Hoelle, Matthew

Abstract

This paper considers the necessity and sufficiency of multiple certainty equilibria for sunspot effects, and shows that neither implication is valid. This claim is made for models with incomplete markets and numeraire assets. First, I prove that a multiplicity of certainty equilibria is neither necessary nor sufficient for sunspot effects by way of two counter-examples. Second, I verify over an entire subset of economies that equilibrium with sunspot effects can never be characterized as a randomization over multiple certainty equilibria.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:mateco:v:50:y:2014:i:c:p:119-127
    DOI: 10.1016/j.jmateco.2013.10.011
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    References listed on IDEAS

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    1. Felix Kubler & Karl Schmedders, 2010. "Tackling Multiplicity of Equilibria with Gröbner Bases," Operations Research, INFORMS, vol. 58(4-part-2), pages 1037-1050, August.
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    11. Piero Gottardi & Atsushi Kajii, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," Review of Economic Studies, Oxford University Press, vol. 66(3), pages 713-732.
    12. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
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