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Arrow's theorem and max-star transitivity

ARAN - Access to Research at NUI Galway

Show simple item record Duddy, Conal en Piggins, Ashley en 2010-05-10T14:02:33Z en 2010-05-10T14:02:33Z en 2009 en
dc.identifier.citation Duddy, C., Perote-Pena J., & Piggins A. (2009) "Arrow's theorem and max-star transitivity" (Working Paper No. 0140) Department of Economics, National University of Ireland, Galway. en
dc.identifier.uri en
dc.description.abstract In the literature on social choice and fuzzy preferences, a central question is how to represent the transitivity of a fuzzy binary relation. Arguably the most general way of doing this is to assume a form of transitivity called max-star transitivity. The star operator in this formulation is commonly taken to be a triangular norm. The familiar max-min transitivity condition is a member of this family, but there are infinitely many others. Restricting attention to fuzzy aggregation rules that satisfy counterparts of unanimity and independence of irrelevant alternatives, we characterise the set of max-star transitive relations that permit preference aggregation to be non-dictatorial. This set contains all and only those triangular norms that contain a zero divisor. en
dc.format application/pdf en
dc.language.iso en en
dc.publisher National University of Ireland, Galway en
dc.relation.ispartofseries working papers;0140 en
dc.subject Economics en
dc.title Arrow's theorem and max-star transitivity en
dc.type Working Paper en
dc.description.peer-reviewed peer-reviewed en

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