Unimodality and equivalence of simple and coalitional strategy-proofness in convex idempotent interval spaces
It is shown that simple and coalitional strategy-proofness of a voting rule as defi?ned on the full unimodal domain of a convex idempotent interval space (X; I) are equivalent properties if (X; I) satis?es interval anti-exchange, a basic property also shared by a large class of convex geometries including -but not reducing to- trees and linear geometries. Therefore, strategy-proof location problems in a vast class of networks fall under the scope of that statement. It is also established that a much weaker minimal anti-exchange property is necessary to ensure equivalence of simple and coalitional strategy-proofness in that setting. An immediate corollary to that result is that such ?unimodal?equivalence fails to hold both in certan median interval spaces including those induced by bounded median semilattices that are not chains, and in certain non-median interval spaces including those induced by Hamming graphs and partial cubes.
|Date of creation:||Dec 2012|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.deps.unisi.it/
More information through EDIRC
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.:
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
- Salvador Barberà & Dolors Berga & Bernardo Moreno, 2009.
"Individual versus group strategy-proofness: when do they coincide?,"
UFAE and IAE Working Papers
761.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
- Salvador Barberà & Dolors Berga & Bernardo Moreno, 2009. "Individual versus group strategy proofedness: when do they coincide?," Working Papers 372, Barcelona Graduate School of Economics.
- Le Breton, Michel & Zaporozhets, Vera, 2006.
"On the Equivalence of Coalitional and Individual Strategy-Proofness Properties,"
IDEI Working Papers
408, Institut d'Économie Industrielle (IDEI), Toulouse.
- Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer, vol. 33(2), pages 287-309, August.
- Ernesto Savaglio & Stefano Vannucci, 2012. "Strategy-proofness and unimodality in bounded distributive lattices," Department of Economics University of Siena 642, Department of Economics, University of Siena.
- Danilov, Vladimir I., 1994. "The structure of non-manipulable social choice rules on a tree," Mathematical Social Sciences, Elsevier, vol. 27(2), pages 123-131, April.
- Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
- Schummer, James & Vohra, Rakesh V., 2002.
"Strategy-proof Location on a Network,"
Journal of Economic Theory,
Elsevier, vol. 104(2), pages 405-428, June.
When requesting a correction, please mention this item's handle: RePEc:usi:wpaper:668. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Fabrizio Becatti)
If references are entirely missing, you can add them using this form.