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Size Approval Voting

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Author Info
Alcalde-Unzu Jorge
Vorsatz Marc (METEOR)

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Abstract

We propose a new class of voting rules, called Size Approval Voting. According to this rule, the effective weight of a vote from a given individual depends on how many other alternatives the very same individual votes for. In particular, weights are assumed to be non-negative and weakly decreasing in the number of approved alternatives. Then, for a given profile of individual votes, all those alternatives with the maximal sum of weighted votes are elected. We show in our axiomatic analysis that the family of all Size Approval Voting is characterized by a set of natural properties.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 008.

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Date of creation: 2007
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Handle: RePEc:dgr:umamet:2007008

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Keywords: Economics (Jel: A)

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  1. Sertel, Murat R., 1988. "Characterizing approval voting," Journal of Economic Theory, Elsevier, vol. 45(1), pages 207-211, June. [Downloadable!] (restricted)
  2. Baigent, Nick & Xu, Yongsheng, 1991. "Independent necessary and sufficient conditions for approval voting," Mathematical Social Sciences, Elsevier, vol. 21(1), pages 21-29, February. [Downloadable!] (restricted)
  3. Marc Vorsatz, 2007. "Approval Voting on Dichotomous Preferences," Social Choice and Welfare, Springer, vol. 28(1), pages 127-141, January. [Downloadable!] (restricted)
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  4. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-41, November. [Downloadable!] (restricted)
  5. Massó Jordi & Vorsatz Marc, 2006. "Weighted Approval Voting," Research Memoranda 038, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  6. Brams, Steven J. & Fishburn, Peter C. & Merrill, Samuel III, 1987. "The Responsiveness of Approval Voting: Comments on Saari and Van Newenhizen," Working Papers 87-18, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  7. Miguel Angel Ballester & Pedro Rey-Biel, 2007. "Sincere Voting with Cardinal Preferences: Approval Voting," UFAE and IAE Working Papers 675.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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