dc.contributor.author | Duddy, Conal | |
dc.contributor.author | Piggins, Ashley | |
dc.date.accessioned | 2011-11-11T16:06:28Z | |
dc.date.available | 2011-11-11T16:06:28Z | |
dc.date.issued | 2011-02 | |
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.identifier.uri | http://hdl.handle.net/10379/2309 | |
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.format | application/pdf | en_US |
dc.language.iso | en | en_US |
dc.publisher | National University of Ireland, Galway | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | Economics | en_US |
dc.subject | Judgment sets | en_US |
dc.subject | Metrics | en_US |
dc.title | A measure of distance between judgment sets (Working paper no. 169) | en_US |
dc.type | Working Paper | en_US |
dc.description.peer-reviewed | peer-reviewed | en_US |
nui.item.downloads | 349 | |