Karavaev, Andrei (2008): A Theory of Continuum Economies with Independent Shocks and Matchings.

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Abstract
Numerous economic models employ a continuum of negligible agents with a sequence of idiosyncratic shocks and random matchings. Several attempts have been made to build a rigorous mathematical justification for such models, but these attempts have left many questions unanswered. In this paper, we develop a discrete time framework in which the major, desirable properties of idiosyncratic shocks and random matchings hold. The agents live on a probability space, and the probability distribution for each agent is naturally replaced by the population distribution. The novelty of this approach is in the assumption of unknown identity. Each agent believes that initially he was randomly and uniformly placed on the agent space, i.e., the agent's identity (the exact location on the agent space) is unknown to the agent.
Item Type:  MPRA Paper 

Original Title:  A Theory of Continuum Economies with Independent Shocks and Matchings 
Language:  English 
Keywords:  random matching, idiosyncratic shocks, the Law of Large Numbers, aggregate uncertainty, mixing 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C78  Bargaining Theory; Matching Theory D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D83  Search; Learning; Information and Knowledge; Communication; Belief E  Macroeconomics and Monetary Economics > E0  General > E00  General 
Item ID:  17113 
Depositing User:  Andrei Karavaev 
Date Deposited:  05. Sep 2009 07:59 
Last Modified:  15. Feb 2013 04:24 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/17113 