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A Theory of Continuum Economies with Idiosyncratic Shocks and Random Matchings

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  • Karavaev, Andrei

Abstract

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.

Suggested Citation

  • Karavaev, Andrei, 2008. "A Theory of Continuum Economies with Idiosyncratic Shocks and Random Matchings," MPRA Paper 7445, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:7445
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    File URL: https://mpra.ub.uni-muenchen.de/7445/1/MPRA_paper_7445.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    random matching; idiosyncratic shocks; the Law of Large Numbers; aggregate uncertainty; mixing;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E00 - Macroeconomics and Monetary Economics - - General - - - General

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