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Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities

Author

Listed:
  • Jaroslav Borovicka

    (New York University)

  • John Stachurski

    (Research School of Economics)

Abstract

We study existence, uniqueness and stability of solutions for a class of discrete time recursive utilities models. By combining two streams of the recent literature on recursive preferences—one that analyzes principal eigenvalues of valuation operators and another that exploits the theory of monotone concave operators—we obtain conditions that are both necessary and sufficient for existence and uniqueness. We also show that the natural iterative algorithm is convergent if and only if a solution exists. Consumption processes are allowed to be nonstationary.

Suggested Citation

  • Jaroslav Borovicka & John Stachurski, 2018. "Necessary and Sufficient Conditions for Existence and Uniqueness of Recursive Utilities," 2018 Meeting Papers 1275, Society for Economic Dynamics.
  • Handle: RePEc:red:sed018:1275
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    References listed on IDEAS

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    Cited by:

    1. Yu, Meng & Zhang, Junnan, 2019. "Equilibrium in production chains with multiple upstream partners," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 1-10.
    2. Gouin-Bonenfant, Emilien & Toda, Alexis Akira, 2018. "Pareto Extrapolation: Bridging Theoretical and Quantitative Models of Wealth Inequality," University of California at San Diego, Economics Working Paper Series qt90n2h2bb, Department of Economics, UC San Diego.
    3. Meng Yu & Junnan Zhang, 2019. "Equilibrium in Production Chains with Multiple Upstream Partners," Papers 1908.08208, arXiv.org.
    4. Qingyin Ma & John Stachurski & Alexis Akira Toda, 2018. "The Income Fluctuation Problem with Capital Income Risk: Optimality and Stability," Papers 1812.01320, arXiv.org.

    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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