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An equilibrium existence theorem for atomless economies without the monotonicity assumption

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  • Chiaki Hara

    (Institute of Economic Research, Kyoto University)

Abstract

We consider an exchange economy with an atomless space of consumers whose preference relations need not be monotone. We prove that if for every commodity, there is a group of consumers who regard it as potentially desirable, in a sense to be made precise, then there exists a competitive equilibrium, however small the proportion of such a group may be in the entire economy.

Suggested Citation

  • Chiaki Hara, 2006. "An equilibrium existence theorem for atomless economies without the monotonicity assumption," Economics Bulletin, AccessEcon, vol. 4(34), pages 1-5.
    • Handle: RePEc:ebl:ecbull:eb-06d50009
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    References listed on IDEAS

    as
    1. Schmeidler, David, 1969. "Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences," Econometrica, Econometric Society, vol. 37(4), pages 578-585, October.
    2. Hildenbrand, Werner, 1970. "Existence of Equilibria for Economies with Production and a Measure Space of Consumers," Econometrica, Econometric Society, vol. 38(5), pages 608-623, September.
    3. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-841, June.
    4. Chiaki Hara, 2005. "Existence of Equilibria in Economies with Bads," Econometrica, Econometric Society, vol. 73(2), pages 647-658, March.
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    Cited by:

    1. Robert M. Anderson & Haosui Duanmu & M. Ali Khan & Metin Uyanik, 2022. "Walrasian equilibrium theory with and without free-disposal: theorems and counterexamples in an infinite-agent context," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 387-412, April.

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    More about this item

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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