A Theory of Continuum Economies with Independent Shocks and Matchings
AbstractNumerous 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.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 17113.
Date of creation: 15 Feb 2008
Date of revision: 02 Sep 2009
random matching; idiosyncratic shocks; the Law of Large Numbers; aggregate uncertainty; mixing;
Find related papers by JEL classification:
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
- E00 - Macroeconomics and Monetary Economics - - General - - - General
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