Individual Risk and Lebesgue Extension without Aggregate Uncertainty
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 Sun (2006) to characterize the cancelation 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 note 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.
|Date of creation:||29 Feb 2008|
|Date of revision:|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
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.:
- Pierre-Olivier Weill, 2004.
"Leaning against the wind,"
2004 Meeting Papers
382, Society for Economic Dynamics.
- McLean, Richard & Postlewaite, Andrew, 2005.
"Core convergence with asymmetric information,"
Games and Economic Behavior,
Elsevier, vol. 50(1), pages 58-78, January.
- Richard McLean & Andrew Postlewaite, .
"Informational Size and Incentive Compatibility,"
Penn CARESS Working Papers
7f6ff09d59945e06909ce4fa4, Penn Economics Department.
- Ricardo Lagos & Guillaume Rocheteau, 2007.
"Liquidity in asset markets with search frictions,"
0706, Federal Reserve Bank of Cleveland.
- Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2006.
"Valuation in Over-the-Counter Markets,"
NBER Working Papers
12020, National Bureau of Economic Research, Inc.
- Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2005.
Econometric Society, vol. 73(6), pages 1815-1847, November.
- 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.
- Yeneng Sun & Nicholas Yannelis, 2008. "Ex ante efficiency implies incentive compatibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(1), pages 35-55, July.
- 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.
- 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.
- 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.
- Podczeck, Konrad, 2008. "On the convexity and compactness of the integral of a Banach space valued correspondence," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 836-852, July.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:7448. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If references are entirely missing, you can add them using this form.