This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Arrow's Theorem in Spatial Environments

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
EHLERS, Lars
STORCKEN, Ton

Additional information is available for the following registered author(s):

Abstract

In spatial environments, we consider social welfare functions satisfying Arrow's requirements. i.e., weak Pareto and independence of irrelevant alternatives. When the policy space os a one-dimensional continuum, such a welfare function is determined by a collection of 2n strictly quasi-concave preferences and a tie-breaking rule. As a corrollary, we obtain that when the number of voters is odd, simple majority voting is transitive if and only if each voter's preference is strictly quasi-concave. When the policy space is multi-dimensional, we establish Arrow's impossibility theorem. Among others, we show that weak Pareto, independence of irrelevant alternatives, and non-dictatorship are inconsistent if the set of alternatives has a non-empty interior and it is compact and convex.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help file. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://hdl.handle.net/1866/371
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2002-03.

Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Length: 34 pages
Date of creation: 2002
Date of revision:
Handle: RePEc:mtl:montde:2002-03

Contact details of provider:
Postal: CP 6128, Succ. Centre-Ville, Montr�al, Qu�bec, H3C 3J7
Phone: (514) 343-6540
Fax: (514) 343-5831
Web page: http://www.sceco.umontreal.ca
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Sharon BREWER).

Related research
Keywords: Arrow's theorem indendence of irrelevant alternatives

Other versions of this item:

Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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. Campbell, Donald E., 1993. "Euclidean individual preference and continuous social preference," European Journal of Political Economy, Elsevier, vol. 9(4), pages 541-550, November. [Downloadable!] (restricted)
  2. LE BRETON, Michel & WEYMARK, John, 2002. "Arrovian Social Choice Theory on Economic Domains," IDEI Working Papers 143, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2003. [Downloadable!]
    Other versions:
  3. John A. Weymark, 2000. "Candidate Stability and Nonbinary Social Choice," Working Papers 0029, Department of Economics, Vanderbilt University, revised Feb 2001. [Downloadable!]
    Other versions:
  4. Michel LeBreton & John A. Weymark, 2000. "Social Choice with Analytic Preferences," Econometric Society World Congress 2000 Contributed Papers 1050, Econometric Society. [Downloadable!]
    Other versions:
  5. Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December. [Downloadable!] (restricted)
    Other versions:
  6. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-37, July.
    Other versions:
  7. Bossert, W. & Weymark, J.A., 1991. "Generalized Median Social Welfare Functions," UBC Departmental Archives 91-29, UBC Department of Economics.
  8. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125 Elsevier. [Downloadable!] (restricted)
  9. Border, Kim C & Jordan, J S, 1983. "Straightforward Elections, Unanimity and Phantom Voters," Review of Economic Studies, Blackwell Publishing, vol. 50(1), pages 153-70, January. [Downloadable!] (restricted)
  10. Ehlers, Lars, 2001. "Independence axioms for the provision of multiple public goods as options," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 239-250, March. [Downloadable!] (restricted)
  11. Duggan, John, 1996. "Arrow's Theorem in Public Good Environments with Convex Technologies," Journal of Economic Theory, Elsevier, vol. 68(2), pages 303-318, February. [Downloadable!] (restricted)
  12. Le Breton, M. & Weymark, J.A., 1991. "An Introduction to Arrovian Social Welfare Functions on Economic and Political Domains," UBC Departmental Archives 91-28, UBC Department of Economics.
Full references

Cited by:
(explanations, 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. 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!]
    Other versions:
  2. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 2006-01, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  3. BOSSERT, Walter & PETERS, Hans, 2006. "Single-Peaked Choice," Cahiers de recherche 2006-14, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
    • Bossert Walter & Peters Hans, 2006. "Single-peaked choice," Research Memoranda 037, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  4. Ehlers Lars & Storcken Ton, 2007. "Oligarchies in Spatial Environments," Research Memoranda 042, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  5. Perea Andrés, 2006. "Epistemic Foundations for Backward Induction: An Overview," Research Memoranda 036, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  6. Ehlers Lars & Storcken Ton, 2007. "Arrow's Theorem for One-Dimensional Single-Peaked Preferences," Research Memoranda 043, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  7. Michel Le Breton & John A. Weymark, 2000. "Social Choice with Analytic Preferences," Working Papers 0023, Department of Economics, Vanderbilt University, revised Mar 2001. [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? Apart from a small start up grant in the 1990's, RePEc has received no funding and lives on the help of volunteers.

This page was last updated on 2008-9-30.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.