Approval voting and arrow's impossibility theorem
AbstractAuthor'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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HEC Paris in its series Les Cahiers de Recherche with number 954.
Length: 16 pages
Date of creation: 17 Nov 2011
Date of revision:
approval voting; majority voting; collective prefer- ence function; arrow’s impossibility theorem.;
Find related papers by JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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.:
- Ju, Biung-Ghi, 2011. "Collectively rational voting rules for simple preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 143-149, March.
- Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
- Gaertner, Wulf, 2002. "Domain restrictions," Handbook of Social Choice and Welfare, 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.
- Marc Vorsatz, 2004.
"Approval Voting ion Dichotomous Preferences,"
UFAE and IAE Working Papers
619.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sandra Dupouy).
If references are entirely missing, you can add them using this form.