NDLI: Manipulating an aggregation rule under ordinally fuzzy preferences

Content Provider	Springer Nature Link
Author	Duddy, Conal Perote Peña, Juan Piggins, Ashley
Copyright Year	2009
Abstract	It is well known that many aggregation rules are manipulable through strategic behaviour. Typically, the aggregation rules considered in the literature are social choice correspondences. In this paper the aggregation rules of interest are social welfare functions (SWFs). We investigate the problem of constructing a SWF that is non-manipulable. In this context, individuals attempt to manipulate a social ordering as opposed to a social choice. Using techniques from an ordinal version of fuzzy set theory, we introduce a class of ordinally fuzzy binary relations of which exact binary relations are a special case. Operating within this family enables us to prove an impossibility theorem. This theorem states that all non-manipulable SWFs are dictatorial, provided that they are not constant. This theorem uses a weaker transitivity condition than the one in Perote-Peña and Piggins (J Math Econ 43:564–580, 2007), and the ordinal framework we employ is more general than the cardinal setting used there. We conclude by considering several ways of circumventing this impossibility theorem.
Starting Page	411
Ending Page	428
Page Count	18
File Format	PDF
ISSN	01761714
Journal	Social Choice and Welfare
Volume Number	34
Issue Number	3
e-ISSN	1432217X
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-07-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Economics general Economic Theory
Content Type	Text
Resource Type	Article
Subject	Social Sciences Economics and Econometrics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Factorization of fuzzy preferences

The topological approach to the aggregation of preferences

Continuity of utility functions representing fuzzy preferences

‘One and a Half Dimensional’ Preferences and Majority Rule

Characterizing Paretian preferences

Confidence in preferences

The inverse plurality rule—an axiomatization

Sophisticated preference aggregation

Utility function of fuzzy preferences on a countable set under max-*-transitivity

Manipulating an aggregation rule under ordinally fuzzy preferences

Similar Documents

Factorization of fuzzy preferences

The topological approach to the aggregation of preferences

Continuity of utility functions representing fuzzy preferences

‘One and a Half Dimensional’ Preferences and Majority Rule

Characterizing Paretian preferences

Confidence in preferences

The inverse plurality rule—an axiomatization

Sophisticated preference aggregation

Utility function of fuzzy preferences on a countable set under max-*-transitivity

Manipulating an aggregation rule under ordinally fuzzy preferences