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Equilibrium with non-convex preferences: some examples

Author

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  • Le Van, Cuong
  • Pham, Ngoc-Sang

Abstract

We study the existence of equilibrium when agents’ preferences may not be convex. For some specific utility functions, we provide a necessary and sufficient condition under which there exists an equilibrium. The standard approach cannot be directly applied to our examples because the demand correspondence of some agents is neither single valued nor convex valued.

Suggested Citation

  • Le Van, Cuong & Pham, Ngoc-Sang, 2021. "Equilibrium with non-convex preferences: some examples," MPRA Paper 106774, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:106774
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    References listed on IDEAS

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    1. Bosi, Stefano & Van, Cuong Le & Pham, Ngoc-Sang, 2018. "Intertemporal equilibrium with heterogeneous agents, endogenous dividends and collateral constraints," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 1-20.
    2. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    3. Cuong Le Van & Ngoc-Sang Pham, 2016. "Intertemporal equilibrium with financial asset and physical capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 155-199, June.
    4. Monique Florenzano, 1999. "General equilibrium of financial markets," Post-Print halshs-00085543, HAL.
    5. Aloisio Araujo & Alain Chateauneuf & Juan Pablo Gama & Rodrigo Novinski, 2018. "General Equilibrium With Uncertainty Loving Preferences," Econometrica, Econometric Society, vol. 86(5), pages 1859-1871, September.
    6. Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
    7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    8. Becker, Robert A & Boyd, John H, III & Foias, Ciprian, 1991. "The Existence of Ramsey Equilibrium," Econometrica, Econometric Society, vol. 59(2), pages 441-460, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Non-convex preferences; general equilibrium.;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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