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Existence of Equilibria in Economies with Bads

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  • Chiaki Hara

Abstract

We consider an exchange economy in which there are infinitely many consumers and some commodities are bads, that is, cause disutility to consumers. We give an example of such an economy for which there is no competitive equilibrium or its variants (quasi- or pseudo-equilibrium), and an example of the failure of the so-called uniform integrability condition of equilibrium allocations of increasingly populous finite economies. Copyright The Econometric Society 2005.

Suggested Citation

  • Chiaki Hara, 2005. "Existence of Equilibria in Economies with Bads," Econometrica, Econometric Society, vol. 73(2), pages 647-658, March.
  • Handle: RePEc:ecm:emetrp:v:73:y:2005:i:2:p:647-658
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    File URL: http://hdl.handle.net/10.1111/j.1468-0262.2005.00590.x
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    Cited by:

    1. Hara, Chiaki, 2005. "Bargaining set and anonymous core without the monotonicity assumption," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 545-556, August.
    2. Chiaki Hara, 2006. "An equilibrium existence theorem for atomless economies without the monotonicity assumption," Economics Bulletin, AccessEcon, vol. 4(34), pages 1-5.
    3. Sergey MALAKHOV, 2018. "Propensity to Search and Income Elasticity of Demand: Does the Equilibrium Really Exist?," Expert Journal of Economics, Sprint Investify, vol. 6(1), pages 15-25.
    4. 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.
    5. Miralles, Antonio & Pycia, Marek, 2021. "Foundations of pseudomarkets: Walrasian equilibria for discrete resources," Journal of Economic Theory, Elsevier, vol. 196(C).
    6. Yang, Yi-You, 2015. "On the Maximal Domain Theorem," MPRA Paper 67265, University Library of Munich, Germany.
    7. repec:ebl:ecbull:v:4:y:2006:i:34:p:1-5 is not listed on IDEAS
    8. M. Ali Khan & Metin Uyanik, 2020. "Binary Relations in Mathematical Economics: On the Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot," Papers 2007.01952, arXiv.org.
    9. Simina Br^anzei & Fedor Sandomirskiy, 2019. "Algorithms for Competitive Division of Chores," Papers 1907.01766, arXiv.org, revised Jul 2023.

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