dc.contributor.author | Duddy, Conal | |
dc.contributor.author | Piggins, Ashley | |
dc.date.accessioned | 2018-09-20T16:06:38Z | |
dc.date.available | 2018-09-20T16:06:38Z | |
dc.date.issued | 2011-07-29 | |
dc.identifier.citation | Duddy, Conal; Piggins, Ashley (2011). A measure of distance between judgment sets. Social Choice and Welfare 39 (4), 855-867 | |
dc.identifier.issn | 0176-1714,1432-217X | |
dc.identifier.uri | http://hdl.handle.net/10379/11270 | |
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 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. | |
dc.publisher | Springer Nature | |
dc.relation.ispartof | Social Choice and Welfare | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | collegial courts | |
dc.subject | aggregation | |
dc.title | A measure of distance between judgment sets | |
dc.type | Article | |
dc.identifier.doi | 10.1007/s00355-011-0565-y | |
dc.local.publishedsource | https://link.springer.com/content/pdf/10.1007%2Fs00355-011-0565-y.pdf | |
nui.item.downloads | 0 | |