Single-switch preferences and the Ostrogorski paradox
The Ostrogorski paradox refers to the possibility for a democratically chosen program involving finitely many binary decisions to be unpopular. It deals with the potential conflict arising between two majority-based choice procedures from a set of alternatives {− 1, 1}N, where N stands for the number of decisions. The first procedure is the simple majority rule applied decision-wise. In the second procedure, voters valuate programs through their symmetric distance to an ideal, and programs are compared according to the simple majority rule. This paper characterizes the preference domain (i.e., the set of ideals) which allows to avoid the paradox for any number of voters and any number of decisions. We prove that such a domain contains all those preference profiles sharing a property called single-switchness, of which we provide alternative interpretations.
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Volume (Year): 52 (2006)
Issue (Month): 1 (July)
Pages: 49-66
| Handle: | RePEc:eee:matsoc:v:52:y:2006:i:1:p:49-66 |
| Contact details of provider: | Web page: http://www.elsevier.com/locate/inca/505565
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References listed on IDEAS
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- List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
- Steven J. Brams & William S. Zwicker & D. Marc Kilgour, 1998.
"The paradox of multiple elections,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 211-236.
- Brams, Steven J. & Kilgour, D. Marc & Zwicker, William S., 1996. "The Paradox of Multiple Elections," Working Papers 96-09, C.V. Starr Center for Applied Economics, New York University.
- Marco Scarsini, 1998. "A strong paradox of multiple elections," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 237-238.
- Marco Scarsini, 1998. "A strong paradox of multiple elections," Post-Print hal-00541791, HAL.
- Laffond, Gilbert & Laine, Jean, 2000. "Representation in majority tournaments," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 35-53, January.
- Christian List, 2005. "The probability of inconsistencies in complex collective decisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 3-32, 05.
- Deb, Rajat & Kelsey, David, 1987. "On constructing a generalized ostrogorski paradox: Necessary and sufficient conditions," Mathematical Social Sciences, Elsevier, vol. 14(2), pages 161-174, October.
- Hannu Nurmi, 1998. "Voting paradoxes and referenda," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 333-350. Full references (including those not matched with items on IDEAS)