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dc.contributor.authorDuddy, Conal
dc.contributor.authorPiggins, Ashley
dc.identifier.citationDuddy, C., & Piggins, A. (2011). A measure of distance between judgment sets (Working paper no. 169). Galway: Department of Economics, National University of Ireland, Galway.en_US
dc.description.abstractIn the literature on judgment aggregation, an important open question is how to measure the distance between any two judgment sets. This is relevant for issues of social choice: if two individuals hold different beliefs then we might want to find a compromise that lies somewhere between them. We propose a set of axioms that determine a measure of distance uniquely. This measure differs from the widely used Hamming metric. The difference between Hamming's metric and ours boils down to one axiom. Given judgment sets A and B, this axiom says that if the propositions in A n B jointly imply that the propositions in A - B share the same truth value, then the disagreement between A and B over those propositions in A - B should be counted as a single disagreement. We consider the application of our metric to judgment aggregation, and also use the metric to measure the distance between preference rankings.en_US
dc.publisherNational University of Ireland, Galwayen_US
dc.subjectJudgment setsen_US
dc.titleA measure of distance between judgment sets (Working paper no. 169)en_US
dc.typeWorking Paperen_US

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