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Edgeworth box economies with multiple equilibria

Author

Listed:
  • Alexis Akira Toda

    (University of California San Diego)

  • Kieran James Walsh

    (University of Virginia)

Abstract

We derive sufficient conditions for the existence of multiple equilibria in two-good, two-agent pure exchange economies with heterogeneous but symmetric preferences with identical Bernoulli utilities. When preferences are non-homothetic (for example, quadratic, quasi-linear, or HARA), multiple equilibria are possible even with identical endowments.

Suggested Citation

  • Alexis Akira Toda & Kieran James Walsh, 2017. "Edgeworth box economies with multiple equilibria," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 65-80, April.
    • Handle: RePEc:spr:etbull:v:5:y:2017:i:1:d:10.1007_s40505-016-0102-3
    DOI: 10.1007/s40505-016-0102-3
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    References listed on IDEAS

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    Cited by:

    1. Ludovic A. Julien & Gagnie Pascal Yebarth, 2024. "Pareto-Optimal Taxation Mechanism in Noncooperative Strategic Bilateral Exchange," EconomiX Working Papers 2024-19, University of Paris Nanterre, EconomiX.
    2. Bar Light, 2019. "General equilibrium in a heterogeneous-agent incomplete-market economy with many consumption goods and a risk-free bond," Papers 1906.06810, arXiv.org, revised Mar 2021.
    3. Centeno, Alex, 2020. "A Note on the Application of Schubert Calculus in Heterogeneous Economies With Pure Exchange," MPRA Paper 98944, University Library of Munich, Germany.
    4. Cyrinus B. Elegbede & Ludovic A. Julien & Louis Mesnard, 2022. "On preferences and taxation mechanisms in strategic bilateral exchange," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 43-73, March.
    5. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.
    6. Hongjing Chen & Chong Lai & Hanlei Hu, 2024. "Kinetic Models for the Exchange of Production Factors in a Multi-agent Market," Computational Economics, Springer;Society for Computational Economics, vol. 63(6), pages 2559-2584, June.
    7. Giménez, Eduardo L., 2022. "Offer curves and uniqueness of competitive equilibrium," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    8. Won, Dong Chul, 2023. "A new approach to the uniqueness of equilibrium with CRRA preferences," Journal of Economic Theory, Elsevier, vol. 208(C).
    9. Hu, Chunhua & Lai, Shaoyong & Lai, Chong, 2020. "Investigations to the price evolutions of goods exchange with CES utility functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    10. Toda, Alexis Akira & Walsh, Kieran James, 2014. "The Equity Premium and the One Percent," MPRA Paper 79009, University Library of Munich, Germany, revised 28 Feb 2017.
    11. Toda, Alexis Akira, 2017. "Huggett economies with multiple stationary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 84(C), pages 77-90.
    12. John Geanakoplos & Kieran Walsh, 2016. "Uniqueness and Stability of Equilibrium in Economies with Two Goods," Cowles Foundation Discussion Papers 2050, Cowles Foundation for Research in Economics, Yale University.
    13. Andrea Loi & Stefano Matta, 2023. "Endowments, patience types, and uniqueness in two-good HARA utility economies," Papers 2308.09347, arXiv.org.
    14. Alexis Akira Toda & Kieran James Walsh & Stijn Van Nieuwerburgh, 2020. "The Equity Premium and the One Percent," The Review of Financial Studies, Society for Financial Studies, vol. 33(8), pages 3583-3623.
    15. Crockett, Sean & Friedman, Daniel & Oprea, Ryan, 2017. "Aggregation and convergence in experimental general equilibrium economies constructed from naturally occurring preferences," Discussion Papers, Research Professorship Market Design: Theory and Pragmatics SP II 2017-501, WZB Berlin Social Science Center.
    16. Geanakoplos, John & Walsh, Kieran James, 2018. "Uniqueness and stability of equilibrium in economies with two goods," Journal of Economic Theory, Elsevier, vol. 174(C), pages 261-272.
    17. 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.

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    More about this item

    Keywords

    Excess demand functions; Multiple equilibria; Edgeworth box;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

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