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Proximity Preservation in an Anonymous Framework

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Author Info
Daniel Eckert () (Institute of Public Economics, University of Graz)

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Abstract

This paper gives a formulation for the condition of preservation of preference proximity which, unlike previous formulations, respects the spirit of anonymity pervading social choice theory. Proximity preservation is however shown to be inconsistent with a very weak condition guaranteeing a minimal non-trivial compensation of pivotal changes.

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File URL: http://www.economicsbulletin.com/2004/volume4/EB-04D70002A.pdf
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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 4 (2004)
Issue (Month): 6 ()
Pages: 1-6
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ebl:ecbull:v:4:y:2004:i:6:p:1-6

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Postal: Economics Bulletin, Department of Economics, 414 Calhoun Hall, Vanderbilt University, Nashville TN 37235, USA
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Related research
Keywords: aggregation rules; anonymity; compensation; non-imposition; proximity preservation; Social choice;

Find related papers by JEL classification:
D7 - Microeconomics - - Analysis of Collective Decision-Making
D7 - Microeconomics - - Analysis of Collective Decision-Making

References listed on IDEAS
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  1. Chichilnisky, Graciela, 1982. "Social Aggregation Rules and Continuity," The Quarterly Journal of Economics, MIT Press, vol. 97(2), pages 337-52, May. [Downloadable!] (restricted)
  2. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December. [Downloadable!] (restricted)
  3. Fritz Grafe & Julius Grafe, 2001. "Social Welfare Functions which preserve distances," Social Choice and Welfare, Springer, vol. 18(1), pages 59-64. [Downloadable!] (restricted)
  4. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July. [Downloadable!] (restricted)
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  5. Nick Baigent & Daniel Eckert, 2004. "Abstract Aggregations and Proximity Preservation: An Impossibility Result," Theory and Decision, Springer, vol. 56(4), pages 359-366, 06. [Downloadable!] (restricted)
  6. Daniel Eckert & Benjamin Lane, 2002. "Anonymity, ordinal preference proximity and imposed social choices," Social Choice and Welfare, Springer, vol. 19(3), pages 681-684. [Downloadable!] (restricted)
  7. Chichilnisky, Graciela, 1979. "On fixed point theorems and social choice paradoxes," Economics Letters, Elsevier, vol. 3(4), pages 347-351. [Downloadable!] (restricted)
  8. Baigent, Nick, 1987. "Preference Proximity and Anonymous Social Choice," The Quarterly Journal of Economics, MIT Press, vol. 102(1), pages 161-69, February. [Downloadable!] (restricted)
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