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A Study on Linear Inequality Representation of Social Welfare Functions

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Author Info
Keisuke Sato () (University of Tsukuba, Japan)
Yoshitsugu Yamamoto () (University of Tsukuba, Japan)
Abstract

This paper presents a study on the recently proposed linear inequality representation of Arrovian Social Welfare Functions (ASWFs). We first give an alternative proof of the ASWF integer linear inequality representation theorem, and then show several sufficient conditions on preference domains for the linear inequalities of the representation to form integral polytopes. We also show that a given probabilistic ASWF induces a real vector satisfying the inequalities.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 06-022/1.

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Date of creation: 21 Feb 2006
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Handle: RePEc:dgr:uvatin:20060022

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Web page: http://www.tinbergen.nl/

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Related research
Keywords: Social welfare function Linear inequality representation Extreme points Probabilistic social welfare function Integral polytope

Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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.:
  1. Barbera, Salvador & Sonnenschein, Hugo, 1978. "Preference aggregation with randomized social orderings," Journal of Economic Theory, Elsevier, vol. 18(2), pages 244-254, August. [Downloadable!] (restricted)
  2. McLennan, Andrew, 1980. "Randomized preference aggregation: Additivity of power and strategy proofness," Journal of Economic Theory, Elsevier, vol. 22(1), pages 1-11, February. [Downloadable!] (restricted)
  3. Ehud Kalai & Eitan Muller, 1977. "Characterization of Domains Admitting Nondictatorial Social Welfare Functions and Nonmanipulable Voting Procedures," Discussion Papers 234, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  4. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-81, April. [Downloadable!] (restricted)
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