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Belief Non-Equivalence And Financial Trade: A Comment On A Result By Araujo And Sandroni

Author

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  • Andrés Carvajal
  • Alvaro Riascos

Abstract

Aloisio Araujo and Alvaro Sandroni have shown in [1] that in a complete-markets economy in which there are no exogenous bounds to financial trade, existence of equilibrium requires agents with prior beliefs that agree on zero-probability events, and, therefore, with asymptotically homogeneous posteriors. This note illustrates the extent to which the result depends on market completeness: in general, equilibrium requires compatibility of beliefs only up to the revenue transfer opportunities allowed by the market; when the market is sufficiently incomplete, generically on the space of asset returns, even individuals who disagree on zero-probability events meet that constrained-compatibility" requirement."

Suggested Citation

  • Andrés Carvajal & Alvaro Riascos, 2006. "Belief Non-Equivalence And Financial Trade: A Comment On A Result By Araujo And Sandroni," Documentos CEDE 2062, Universidad de los Andes, Facultad de Economía, CEDE.
    • Handle: RePEc:col:000089:002062
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    File URL: https://repositorio.uniandes.edu.co/bitstream/handle/1992/8004/dcede2006-27.pdf
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    References listed on IDEAS

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    1. Salvatore Modica & J.-Marc Tallon & Aldo Rustichini, 1998. "Unawareness and bankruptcy: A general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 259-292.
    2. Leonid Kogan & Stephen A. Ross & Jiang Wang & Mark M. Westerfield, 2006. "The Price Impact and Survival of Irrational Traders," Journal of Finance, American Finance Association, vol. 61(1), pages 195-229, February.
    3. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    4. Aloisio Araujo & Alvaro Sandroni, 1999. "On the Convergence to Homogeneous Expectations when Markets Are Complete," Econometrica, Econometric Society, vol. 67(3), pages 663-672, May.
    5. Diamond, Douglas W. & Verrecchia, Robert E., 1987. "Constraints on short-selling and asset price adjustment to private information," Journal of Financial Economics, Elsevier, vol. 18(2), pages 277-311, June.
    6. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    7. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(2), pages 323-336.
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    Cited by:

    1. Jean Pietro Bonaldi Varón, 2008. "Existence of Equilibrium in Financial Markets: Hart´s Securities Exchange Model with Consumption in the First Period," Documentos CEDE 6711, Universidad de los Andes, Facultad de Economía, CEDE.

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    More about this item

    Keywords

    General equilibrium; heterogeneous beliefs; existence;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G1 - Financial Economics - - General Financial Markets

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