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Competitive Equilibria of Economies with a Continuum of Consumers and Aggregate Shocks

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Jianjun Miao

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Abstract

This paper studies competitive equilibria of a production economy with aggregate productivity shocks and with a continuum of consumers subject to borrowing constraints and individual labor endowment shocks. The dynamic economy is described in terms of sequences of aggregate distributions. The existence of competitive equilibrium is proven and a recursive characterization is established. In particular, it is shown that for any competitive equilibrium, there is a first period payoff equivalent competitive equilibrium that is generated by a recursive equilibrium with the state space including expected discounted utilities.

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Paper provided by EconWPA in its series Macroeconomics with number 0310001.

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Date of creation: 04 Oct 2003
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Handle: RePEc:wpa:wuwpma:0310001

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Find related papers by JEL classification:
D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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Cited by:
(explanations, 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.)

  1. Manjira Datta & Kevin L. Reffett, 2005. "Isotone Recursive Methods: the Case of Homogeneous Agents," Tinbergen Institute Discussion Papers 05-012/2, Tinbergen Institute. [Downloadable!]
  2. Junjian Miao & Manuel Santos, 2005. "Numerical Solution of Dynamic Non-Optimal Economies," Boston University - Department of Economics - Working Papers Series WP2005-003, Boston University - Department of Economics. [Downloadable!]
    Other versions:
  3. Krüger, Dirk & Lustig, Hanno, 2006. "The Irrelevance of Market Incompleteness for the Price of Aggregate Risk," CEPR Discussion Papers 5936, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  4. Hanno Lustig, . "When is Market Incompleteness Irrelevant for the Price of Aggregate Risk (joint with Dirk Krueger, UPenn)," UCLA Economics Online Papers 380, UCLA Department of Economics. [Downloadable!]
  5. Zhigang Feng & Jianjun Miao & Adrian Peralta-Alva & Manuel S. Santos, 2009. "Numerical simulation of nonoptimal dynamic equilibrium models," Working Papers 2009-018, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  6. Andrea Pescatori, 2007. "Incomplete markets and households’ exposure to interest rate and inflation risk: implications for the monetary policy maker," Working Paper 0709, Federal Reserve Bank of Cleveland. [Downloadable!]
  7. Tom Krebs, 2006. "Recursive equilibrium in endogenous growth models with incomplete markets," Economic Theory, Springer, vol. 29(3), pages 505-523, November. [Downloadable!] (restricted)
    Other versions:
  8. Michael Reiter, 2006. "Solving Heterogeneous-Agent Models by Projection and Perturbation," Economics Working Papers 972, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  9. Dirk Krueger & Hanno Lustig, 2006. "When is Market Incompleteness Irrelevant for the Price of Aggregate Risk (and when is it not)?," NBER Working Papers 12634, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Eric R. Young, 2004. "The Wealth Distribution and the Demand for Status," Macroeconomics 0410008, EconWPA. [Downloadable!]
    Other versions:
  11. Richard M. H. Suen, 2009. "Bounding the CRRA Utility Functions," Working Papers 200902, University of California at Riverside, Department of Economics, revised Feb 2009. [Downloadable!]
    Other versions:
  12. Manjira Datta & Leonard J. Mirman & Olivier F. Morand & Kevin L. Reffett, 2005. "Markovian Equilibrium in Infinite Horizon Economies with Incomplete Markets and Public Policy," Tinbergen Institute Discussion Papers 05-013/2, Tinbergen Institute. [Downloadable!]
    Other versions:
  13. Yann Algan & Olivier Allais & Wouter J. Den Haan, 2006. "Solving heterogeneous-agent models with parameterized cross-sectional distributions," PSE Working Papers 2006-46, PSE (Ecole normale supérieure). [Downloadable!]
    Other versions:
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