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Recursive Equilibria In An Aiyagari‐Style Economy With Permanent Income Shocks




In this paper, we prove the existence of a recursive competitive equilibrium (RCE) for an Aiyagari style economy with permanent income shocks and perpetual youth structure. We show that there exist equilibria where borrowing constraints are never binding. This allows us to establish a non-trivial lower bound on the equilibrium interest rate. To solve the individual’s problem, we present a new approach that uses lattices of consumption functions to deal with the non-compact state space and the unbounded utility function. The approach uses only the first order conditions of the problem (Euler equations). The proof is constructive and it serves as a theoretical foundation for the convergence of a policy function iteration procedure.
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  • Moritz Kuhn, 2013. "Recursive Equilibria In An Aiyagari‐Style Economy With Permanent Income Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 807-835, August.
  • Handle: RePEc:wly:iecrev:v:54:y:2013:i::p:807-835

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    References listed on IDEAS

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    Cited by:

    1. Acikgoz, Omer, 2015. "On the Existence of Equilibrium in Bewley Economies with Production," MPRA Paper 69061, University Library of Munich, Germany.
    2. Acikgoz, Omer, 2015. "On the Existence and Uniqueness of Stationary Equilibrium in Bewley Economies with Production," MPRA Paper 71066, University Library of Munich, Germany, revised 30 Apr 2016.
    3. repec:eee:jetheo:v:173:y:2018:i:c:p:18-55 is not listed on IDEAS
    4. Geanakoplos, John & Karatzas, Ioannis & Shubik, Martin & Sudderth, William D., 2014. "Inflationary equilibrium in a stochastic economy with independent agents," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 1-11.
    5. Li, Huiyu & Stachurski, John, 2014. "Solving the income fluctuation problem with unbounded rewards," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 353-365.

    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth


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