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Uniqueness and Stability of Equilibrium in Economies with Two Goods

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We offer new sufficient conditions ensuring demand is downward sloping local to equilibrium. It follows that equilibrium is unique and stable in the sense that rising supply implies falling prices. In our setting, there are two goods, which we interpret as consumption in different time periods, and many impatience types. Agents have the same Bernoulli utility function, but the types differ arbitrarily in time preference. Our main result is that if endowments are identical and utility displays nonincreasing absolute risk aversion, then market demand is strictly downward sloping local to equilibrium. We discuss implications for the Diamond-Dybvig literature.

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  • 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.
    • Handle: RePEc:cwl:cwldpp:2050
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d20/d2050.pdf
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    1. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
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    3. 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.
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    5. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
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    1. 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.
    2. John Geanakoplos & Kieran James Walsh, 2018. "Inefficient liquidity provision," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(1), pages 213-233, July.
    3. John Geanakoplos & Kieran James Walsh, 2017. "Inefficient Liquidity Provision," Cowles Foundation Discussion Papers 2077, Cowles Foundation for Research in Economics, Yale University.

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    More about this item

    Keywords

    uniqueness of equilibrium; absolute risk aversion; excess demand functions; stability of equilibrium; Diamond-Dybvig models;
    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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