Name
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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s00355-009-0405-5 | Social Choice and Welfare |
Keywords | Field | DocType |
binary relation,social choice,fuzzy set theory,social order | Welfare economics,Social choice theory,Mathematical economics,Arrow's impossibility theorem,Ordinal number,Unrestricted domain,Binary relation,Fuzzy logic,Fuzzy set,Mathematics,Transitive relation | Journal |
Volume | Issue | ISSN |
34 | 3 | 1432-217X |
Citations | PageRank | References |
3 | 0.56 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Conal Duddy | 1 | 34 | 4.54 |
| Juan Perote-Peña | 2 | 18 | 2.58 |
| Ashley Piggins | 3 | 35 | 4.42 |