Individual risk and Lebesgue extension without aggregate uncertainty
AbstractMany 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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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 144 (2009)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/622869
No aggregate uncertainty Independence Exact law of large numbers Fubini extension Lebesgue measure;
Other versions of this item:
- Sun, Yeneng & Zhang, Yongchao, 2008. "Individual Risk and Lebesgue Extension without Aggregate Uncertainty," MPRA Paper 7448, University Library of Munich, Germany.
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
- E00 - Macroeconomics and Monetary Economics - - General - - - General
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
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.:
- Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2006.
"Valuation in Over-the-Counter Markets,"
NBER Working Papers
12020, National Bureau of Economic Research, Inc.
- Ricardo Lagos & Guillaume Rocheteau, 2008.
"Liquidity in asset markets with search frictions,"
408, Federal Reserve Bank of Minneapolis.
- Darrell Duffie & Nicolae Garleanu & Lasse Heje Pedersen, 2005.
Econometric Society, vol. 73(6), pages 1815-1847, November.
- Pierre-Olivier Weill, 2004.
"Leaning against the wind,"
2004 Meeting Papers
382, Society for Economic Dynamics.
- 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.
- 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.
- Yeneng Sun & Nicholas Yannelis, 2008. "Ex ante efficiency implies incentive compatibility," Economic Theory, Springer, vol. 36(1), pages 35-55, 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.
- Richard McLean & Andrew Postlewaite, 2003.
"Core Convergence with Asymmetric Information,"
PIER Working Paper Archive
03-027, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Richard McLean & Andrew Postlewaite, .
"Informational Size and Incentive Compatibility,"
Penn CARESS Working Papers
7f6ff09d59945e06909ce4fa4, Penn Economics Department.
- 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.
- 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.
- 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.
- Patrizia Berti & Michele Gori & Pietro Rigo, 2010.
"A note on the law of large numbers in economics,"
Quaderni di Dipartimento
131, University of Pavia, Department of Economics and Quantitative Methods.
- Duffie, Darrell & Sun, Yeneng, 2012.
"The exact law of large numbers for independent random matching,"
Journal of Economic Theory,
Elsevier, vol. 147(3), pages 1105-1139.
- Darrell Duffie & Yeneng Sun, 2011. "The Exact Law of Large Numbers for Independent Random Matching," NBER Working Papers 17280, National Bureau of Economic Research, Inc.
- Darrell Duffie & Yeneng Sun, 2004. "The Exact Law of Large Numbers for Independent Random Matching," Levine's Bibliography 122247000000000328, UCLA Department of Economics.
- M. Ali Khan & Kali P. Rath & Yeneng Sun & Haomiao Yu, 2011. "On Large Games with a Bio-Social Typology," Economics Working Paper Archive 585, The Johns Hopkins University,Department of Economics.
- M. Ali Khan & Kali P. Rath & Yeneng Sun & Haomiao Yu, 2012.
"Large Games with a Bio-Social Typology,"
035, Ryerson University, Department of Economics.
- MENDOLICCHIO, Concetta & PAOLINI, Dimitri & PIETRA, Tito, .
"Investments in education and welfare in a two-sector, random matching economy,"
CORE Discussion Papers RP
-2501, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Mendolicchio, Concetta & Paolini, Dimitri & Pietra, Tito, 2012. "Investments in education and welfare in a two-sector, random matching economy," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 367-385.
- Mendolicchio, Concetta & Paolini, Dimitri & Pietra, Tito, 2011. "Investments in education and welfare in a two-sector, random matching economy," IAB Discussion Paper 201108, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
- C. Mendolicchio & D. Paolini & T. Pietra, 2010. "Investments in education and welfare in a two-sector, random matching economy," Working Papers 702, Dipartimento Scienze Economiche, Universita' di Bologna.
- 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.
- Martin Hellwig, 2010. "Utilitarian mechanism design for an excludable public good," Economic Theory, Springer, vol. 44(3), pages 361-397, September.
- Haomiao Yu, 2014. "Rationalizability in large games," Economic Theory, Springer, vol. 55(2), pages 457-479, February.
- Konrad Podczeck, 2010. "On existence of rich Fubini extensions," Economic Theory, Springer, vol. 45(1), pages 1-22, October.
- Yu, Haomiao & Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 0. "Strategic uncertainty and the ex-post Nash property in large games," Theoretical Economics, Econometric Society.
- Martin Hellwig, 2011. "Incomplete-Information Models of Large Economies with Anonymity: Existence and Uniqueness of Common Priors," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2011_08, Max Planck Institute for Research on Collective Goods.
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