A simple version and extension of Arrow’s Theorem in the Edgeworth Domain
AbstractThis 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.
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Bibliographic InfoPaper provided by Department of Economics, University of York in its series Discussion Papers with number 00/23.
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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
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Arrow; Social Welfare Function; Edgeworth Box; Envy-Freeness.;
Find related papers by 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2000-05-01 (All new papers)
- NEP-CDM-2000-05-01 (Collective Decision-Making)
- NEP-DCM-2000-05-01 (Discrete Choice Models)
- NEP-MIC-2000-05-01 (Microeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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 441-54, May.
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