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A simple version and extension of Arrow’s Theorem in the Edgeworth Domain

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  • John Bone

Abstract

This paper presents an Arrow-type result which can be simply demonstrated to hold within the standard domain of welfare economics: in the (m×n) Edgeworth Box, a best allocation must assign all goods to a single individual. Allowing the Social Welfare Function to take account of envy-freeness, or other related constructions, does not significantly resolve this problem.

Suggested Citation

  • John Bone, "undated". "A simple version and extension of Arrow’s Theorem in the Edgeworth Domain," Discussion Papers 00/23, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:00/23
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    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2000/0023.pdf
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    References listed on IDEAS

    as
    1. Arnsperger, Christian, 1994. "Envy-Freeness and Distributive Justice," Journal of Economic Surveys, Wiley Blackwell, vol. 8(2), pages 155-186, June.
    2. Bordes, Georges & Campbell, Donald E & Le Breton, Michel, 1995. "Arrow's Theorem for Economic Domains and Edgeworth Hyperboxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 441-454, May.
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    More about this item

    Keywords

    Arrow; Social Welfare Function; Edgeworth Box; Envy-Freeness.;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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