A Theory of Continuum Economies with Idiosyncratic Shocks and Random Matchings
Many economic models use a continuum of negligible agents to avoid considering one person's effect on aggregate characteristics of the economy. Along with a continuum of agents, these models often incorporate a sequence of independent shocks and random matchings. Despite frequent use of such models, there are still unsolved questions about their mathematical justification. In this paper we construct a discrete time framework, in which major desirable properties of idiosyncratic shocks and random matchings hold. In this framework the agent space constitutes a probability space, and the probability distribution for each agent is replaced by the population distribution. Unlike previous authors, we question the assumption of known identity - the location on the agent space. We assume that the agents only know their previous history - what had happened to them before, - but not their identity. The construction justifies the use of numerous dynamic models of idiosyncratic shocks and random matchings.
|Date of creation:||25 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.:
- Edward J. Green, 1994. "Individual Level Randomness in a Nonatomic Population," GE, Growth, Math methods 9402001, EconWPA.
- Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
- Carlos Alós-Ferrer, 2002. "Random Matching of Several Infinite Populations," Annals of Operations Research, Springer, vol. 114(1), pages 33-38, August.
- Carlos Alós-Ferrer, 1998.
"- Dynamical Systems With A Continuum Of Randomly Matched Agents,"
Working Papers. Serie AD
1998-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Alos-Ferrer, Carlos, 1999. "Dynamical Systems with a Continuum of Randomly Matched Agents," Journal of Economic Theory, Elsevier, vol. 86(2), pages 245-267, June.
- Alos-Ferrer, C., 1998. "Dynamic Systems with a Continuum of Randomly Matched Agents," Papers 9801, Washington St. Louis - School of Business and Political Economy.
- Gilboa, Itzhak & Matsui, Akihiko, 1992.
"A model of random matching,"
Journal of Mathematical Economics,
Elsevier, vol. 21(2), pages 185-197.
- Boylan, Richard T., 1992. "Laws of large numbers for dynamical systems with randomly matched individuals," Journal of Economic Theory, Elsevier, vol. 57(2), pages 473-504, August.
- Sun, Yeneng, 1998. "A theory of hyperfinite processes: the complete removal of individual uncertainty via exact LLN1," Journal of Mathematical Economics, Elsevier, vol. 29(4), pages 419-503, May.
- Darrell Duffie & Yeneng Sun, 2004.
"The Exact Law of Large Numbers for Independent Random Matching,"
122247000000000328, UCLA Department of Economics.
- 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.
- Aliprantis, C. D. & Camera, G. & Puzzelo, D., 2004.
"A Random Matching Theory,"
Purdue University Economics Working Papers
1168, Purdue University, Department of Economics.
- Edward J. Green & Ruilin Zhou, 2000.
"Dynamic monetary equilibrium in a random-matching economy,"
Working Paper Series
WP-00-1, Federal Reserve Bank of Chicago.
- Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
- Kocherlakota, Narayana R., 1998.
"Money Is Memory,"
Journal of Economic Theory,
Elsevier, vol. 81(2), pages 232-251, August.
- Harald Uhlig, 1996.
"A law of large numbers for large economies (*),"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
- McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
- 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.
- Michihiro Kandori, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 63-80.
- Shouyong Shi, 1996.
"A Divisible Search Model of Fiat Money,"
930, Queen's University, Department of Economics.
- Al-Najjar, Nabil I., 2004. "Aggregation and the law of large numbers in large economies," Games and Economic Behavior, Elsevier, vol. 47(1), pages 1-35, April.
- 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.
- Charalambos Aliprantis & Gabriele Camera & Daniela Puzzello, 2006. "Matching and anonymity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 415-432, October.
- Alos-Ferrer, C., 1998. "Individual Randomness in Economic Models with a Continuum Agents," Papers 9807, Washington St. Louis - School of Business and Political Economy.
- Boylan Richard T., 1995. "Continuous Approximation of Dynamical Systems with Randomly Matched Individuals," Journal of Economic Theory, Elsevier, vol. 66(2), pages 615-625, August.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:7445. 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.