An alternative direct proof of Gibbard’s random dictatorship theorem
AbstractWe present an alternative proof of the Gibbard’s random dictatorship theorem with ex post Pareto optimality. Gibbard(1977) showed that when the number of alternatives is finite and larger than two, and individual preferences are linear (strict), a strategy-proof decision scheme (a probabilistic analogue of a social choice function or a voting rule) is a convex combination of decision schemes which are, in his terms, either unilateral or duple. As a corollary of this theorem (credited to H. Sonnenschein) he showed that a decision scheme which is strategy-proof and satisfies ex post Pareto optimality is randomly dictatorial. We call this corollary the Gibbard’s random dictatorship theorem. We present a proof of this theorem which is direct and follows closely the original Gibbard’s approach. Focusing attention to the case with ex post Pareto optimality our proof is more simple and intuitive than the original Gibbard’s proof. Copyright Springer-Verlag Berlin/Heidelberg 2003
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Review Economic Design.
Volume (Year): 8 (2003)
Issue (Month): 3 (October)
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/10058/index.htm
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral 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: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.