A measure of distance between judgment sets (Working paper no. 169)
|dc.identifier.citation||Duddy, 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.abstract||In 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.publisher||National University of Ireland, Galway||en_US|
|dc.title||A measure of distance between judgment sets (Working paper no. 169)||en_US|
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