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Individual risk and Lebesgue extension without aggregate uncertainty

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Author Info
Sun, Yeneng
Zhang, Yongchao

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Abstract

Many economic models include random shocks imposed on a large number (continuum) of economic agents with individual risk. In this context, an exact law of large numbers and its converse is presented in [Y.N. Sun, The exact law of large numbers via Fubini extension and characterization of insurable risks, J. Econ. Theory 126 (2006) 31-69] to characterize the cancellation of individual risk via aggregation. However, it is well known that the Lebesgue unit interval is not suitable for modeling a continuum of agents in the particular setting. The purpose of this paper is to show that an extension of the Lebesgue unit interval does work well as an agent space with various desirable properties associated with individual risk.

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Publisher Info
Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 1 (January)
Pages: 432-443
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Handle: RePEc:eee:jetheo:v:144:y:2009:i:1:p:432-443

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Web page: http://www.elsevier.com/locate/inca/622869

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Related research
Keywords: No aggregate uncertainty Independence Exact law of large numbers Fubini extension Lebesgue measure;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2004. "Over-the-Counter Markets," NBER Working Papers 10816, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
    • Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2005. "Over-the-Counter Markets," Econometrica, Econometric Society, vol. 73(6), pages 1815-1847, November. [Downloadable!] (restricted)
  2. Sun, Yeneng & Yannelis, Nicholas C., 2007. "Core, equilibria and incentives in large asymmetric information economies," Games and Economic Behavior, Elsevier, vol. 61(1), pages 131-155, October. [Downloadable!] (restricted)
  3. McLean, Richard & Postlewaite, Andrew, 2005. "Core convergence with asymmetric information," Games and Economic Behavior, Elsevier, vol. 50(1), pages 58-78, January. [Downloadable!] (restricted)
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  4. Anderson, Robert M., 1991. "Non-standard analysis with applications to economics," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 39, pages 2145-2208 Elsevier. [Downloadable!] (restricted)
  5. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February. [Downloadable!] (restricted)
  6. Ricardo Lagos & Guillaume Rocheteau, 2007. "Liquidity in asset markets with search frictions," Working Paper 0706, Federal Reserve Bank of Cleveland. [Downloadable!]
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  7. 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. [Downloadable!] (restricted)
  8. Pierre-Olivier Weill, 2007. "Leaning Against the Wind," Review of Economic Studies, Blackwell Publishing, vol. 74(4), pages 1329-1354, October. [Downloadable!] (restricted)
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  9. Richard McLean & Andrew Postlewaite, 2002. "Informational Size and Incentive Compatibility," Econometrica, Econometric Society, vol. 70(6), pages 2421-2453, November. [Downloadable!] (restricted)
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  10. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January. [Downloadable!] (restricted)
  11. Peter J. Hammond & Yeneng Sun, 2000. "Joint Measurability and the One-way Fubini Property for a Continuum of Independent Random Variables," Working Papers 00008, Stanford University, Department of Economics. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Martin Hellwig, 2009. "Utilitarian Mechanism Design for an Excludable Public Good," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2009_12, Max Planck Institute for Research on Collective Goods. [Downloadable!]
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