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Approval voting and arrow's impossibility theorem

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Author Info

  • Mongin, Philippe

    ()
    (HEC Paris)

  • Maniquet, François

Abstract

Author's abstract. Approval voting has attracted considerable interest among voting theorists, but they have rarely investigated it in the Arrovian frame-work of social welfare functions (SWF) and never connected it with Arrow’s impossibility theorem. This note explores these two direc- tions. Assuming that voters have dichotomous preferences, it first characterizes approval voting in terms of its SWF properties and then shows that these properties are incompatible if the social preference is also taken to be dichotomous. The positive result improves on some existing characterizations of approval voting in the literature, as well as on Arrow’s and May’s classic analyses of voting on two alternatives. The negative result corresponds to a novel and perhaps surprising version of Arrow’s impossibility theorem.

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Bibliographic Info

Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 954.

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Length: 16 pages
Date of creation: 17 Nov 2011
Date of revision:
Handle: RePEc:ebg:heccah:0954

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Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
Web page: http://www.hec.fr/
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Related research

Keywords: approval voting; majority voting; collective prefer- ence function; arrow’s impossibility theorem.;

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References

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  1. Marc Vorsatz, 2004. "Approval Voting ion Dichotomous Preferences," UFAE and IAE Working Papers, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) 619.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, Elsevier, vol. 19(1), pages 180-185, October.
  3. Gaertner, Wulf, 2002. "Domain restrictions," Handbook of Social Choice and Welfare, Elsevier, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 3, pages 131-170 Elsevier.
  4. Ju, Biung-Ghi, 2011. "Collectively rational voting rules for simple preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 143-149, March.
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