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Uniqueness of equilibrium in a Bewley–Aiyagari model

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  • Bar Light

    (Stanford University)

Abstract

I establish the uniqueness of a stationary equilibrium in a Bewley–Aiyagari model when the agents’ utility function exhibits constant relative risk aversion bounded above by 1 and the production function exhibits a certain gross substitute property.

Suggested Citation

  • Bar Light, 2020. "Uniqueness of equilibrium in a Bewley–Aiyagari model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 435-450, March.
  • Handle: RePEc:spr:joecth:v:69:y:2020:i:2:d:10.1007_s00199-018-1167-z
    DOI: 10.1007/s00199-018-1167-z
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    Cited by:

    1. Marcello D'Amato & Christian Di Pietro & Marco M. Sorge, 2023. "Left and Right: A Tale of Two Tails of the Wealth Distribution," CSEF Working Papers 691, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    2. Ruitu Xu & Yifei Min & Tianhao Wang & Zhaoran Wang & Michael I. Jordan & Zhuoran Yang, 2023. "Finding Regularized Competitive Equilibria of Heterogeneous Agent Macroeconomic Models with Reinforcement Learning," Papers 2303.04833, arXiv.org.
    3. Le Grand, François & Ragot, Xavier, 2021. "Sovereign default and liquidity: The case for a world safe asset," Journal of International Economics, Elsevier, vol. 131(C).
    4. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies with Low Interest Rates," Staff Report 625, Federal Reserve Bank of Minneapolis.
    5. repec:hal:spmain:info:hdl:2441/3jhmd4ib388m99gnolvi8klga2 is not listed on IDEAS
    6. repec:hal:wpspec:info:hdl:2441/3jhmd4ib388m99gnolvi8klga2 is not listed on IDEAS
    7. Shenghao Zhu, 2020. "Existence Of Stationary Equilibrium In An Incomplete‐Market Model With Endogenous Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1115-1138, August.
    8. Thomas J. Sargent & John Stachurski, 2024. "Dynamic Programming: Finite States," Papers 2401.10473, arXiv.org.
    9. Robert Kirkby, 2023. "Quantitative Macroeconomics: Lessons Learned from Fourteen Replications," Computational Economics, Springer;Society for Computational Economics, vol. 61(2), pages 875-896, February.

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    More about this item

    Keywords

    Bewley–Aiyagari model; Uniqueness of equilibrium; heterogeneous agents; Aggregate savings; Stationary equilibrium;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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