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Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?

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Author Info
Fleurbaey, Marc
Suzumura, Kotaro
Tadenuma, Koichi
Abstract

Arrow's celebrated theorem of social choice shows that the aggregation of individual preferences into a social ordering cannot make the ranking of any pair of alternatives depend only on individual preferences over that pair, unless the fundamental weak Pareto and nondictatorship principles are violated. In the standard model of division of commodities, we investigate how much information about indifference hypersurfaces is needed to construct social ordering functions satisfying the weak Pareto principle and anonymity. We show that local information such as marginal rates of substitution or the shapes "within the Edgeworth box" is not enough, and knowledge of substantially non-local information is necessary.

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File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/14419/1/pie_dp121.pdf
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Publisher Info
Paper provided by Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University in its series Discussion Paper with number 121.

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Length: 31 p.
Date of creation: Nov 2002
Date of revision:
Handle: RePEc:hit:piedp1:121

Note: November 2002 (First version: July 2001)
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Web page: http://cis.ier.hit-u.ac.jp/
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Related research
Keywords: social choice; preference aggregation; information; independence of irrelevant alternatives; indifference curves;

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

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  1. Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Working Papers 0206, Department of Economics, Vanderbilt University, revised Sep 2003. [Downloadable!]
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