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Manipulating an ordering

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dc.contributor.author Duddy, Conal en
dc.contributor.author Piggins, Ashley en
dc.date.accessioned 2010-05-05T19:50:31Z en
dc.date.available 2010-05-05T19:50:31Z en
dc.date.issued 2009 en
dc.identifier.citation Duddy, C., Perote-Pena J., & Piggins A. (2009) "Manipulating an ordering" (Working Paper No. 0141) Department of Economics, National University of Ireland, Galway. en
dc.identifier.uri http://hdl.handle.net/10379/940 en
dc.description.abstract It is well known that many social decision procedures are manipulable through strategic behaviour. Typically, the decision procedures considered in the literature are social choice correspondences. In this paper we investigate the problem of constructing a social welfare function 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 social welfare functions are dictatorial, provided that they are not constant. This theorem generalizes the one in Perote-Pena and Piggins (Perote-Pena, J., Piggins, A., 2007. Strategy-proof fuzzy aggregation rules. J. Math. Econ., vol. 43, p. 564 - p. 580). We conclude by considering several ways of circumventing this impossibility theorem. en
dc.format application/pdf en
dc.language.iso en en
dc.publisher National University of Ireland, Galway en
dc.relation.ispartofseries working papers;0141 en
dc.subject Strategic behaviour en
dc.subject Fuzzy aggregation rules en
dc.title Manipulating an ordering en
dc.type Working Paper en
dc.description.peer-reviewed peer-reviewed en

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