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.
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- Pierre-Olivier Weill, 2004.
"Leaning against the wind,"
2004 Meeting Papers
382, Society for Economic Dynamics.
- Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2004.
NBER Working Papers
10816, National Bureau of Economic Research, Inc.
- 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.
- Yeneng Sun & Nicholas Yannelis, 2008. "Ex ante efficiency implies incentive compatibility," Economic Theory, Society for the Advancement of Economic Theory (SAET), vol. 36(1), pages 35-55, July.
- McLean, Richard & Postlewaite, Andrew, 2005.
"Core convergence with asymmetric information,"
Games and Economic Behavior,
Elsevier, vol. 50(1), pages 58-78, January.
- 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.
- 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.
- 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.
- Ricardo Lagos & Guillaume Rocheteau, 2007.
"Liquidity in asset markets with search frictions,"
0706, Federal Reserve Bank of Cleveland.
- Duffie, Darrell & Garleanu, Nicolae Bogdan & Pedersen, Lasse Heje, 2006.
"Valuation in Over-the-Counter Markets,"
CEPR Discussion Papers
5491, C.E.P.R. Discussion Papers.
- 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.
- Richard McLean & Andrew Postlewaite, 2002.
"Informational Size and Incentive Compatibility,"
Econometric Society, vol. 70(6), pages 2421-2453, November.
- Richard McLean & Andrew Postlewaite, . "Informational Size and Incentive Compatibility," CARESS Working Papres 99-14, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Richard McLean & Andrew Postlewaite, . "Informational Size and Incentive Compatibility," Penn CARESS Working Papers 7f6ff09d59945e06909ce4fa4, Penn Economics Department.
- 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.
- 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.
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