The structure of decision schemes with cardinal preferences

Shasikanta Nandeibam ()

Review of Economic Design, 2013, vol. 17, issue 3, 205-238

Abstract: This paper replacesGibbard’s (Econometrica 45:665-681, 1977 ) assumption of strict ordinal preferences by themore natural assumption of cardinal preferences on the set pure social alternatives and we also admit indifferences among the alternatives. By following a similar line of reasoning to the Gibbard-Satterthwaite theoremin the deterministic framework, we first show that if a decision scheme satisfies strategy proofness and unanimity, then there is an underlying probabilistic neutrality result which generates an additive coalitional power function. This result is then used to prove that a decision scheme which satisfies strategy proofness and unanimity can be represented as a weak random dictatorship. A weak random dictatorship assigns each individual a chance to be a weak dictator. An individual has weak dictatorial power if the support of the social choice lottery is always a subset of his/her maximal utility set. In contrast to Gibbard’s complete characterization of randomdictatorship, we also demonstrate with an example that strategy proofness and unanimity are sufficient but not necessary conditions for a weak random dictatorship. Copyright Springer-Verlag 2013

Keywords: Decision scheme; Strategy proofness; Unanimity; Weak dictatorship; Weak random dictatorship; D71; D82; C72 (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

Downloads: (external link)
http://hdl.handle.net/10.1007/s10058-012-0130-x (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:reecde:v:17:y:2013:i:3:p:205-238

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10058

DOI: 10.1007/s10058-012-0130-x

Access Statistics for this article

Review of Economic Design is currently edited by Atila Abdulkadiroglu, Fuhito Kojima and Tilman Börgers

More articles in Review of Economic Design from Springer, Society for Economic Design
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().