Beyond Electing and Ranking: Collective Dominating Chains, Dominating Subsets and Dichotomies
Lang, Jérôme; Monnot, Jérôme; Slinko, Arkadii; Zwicker, William (2017), Beyond Electing and Ranking: Collective Dominating Chains, Dominating Subsets and Dichotomies, in Larson, Kate; Winikoff, Michael; Das, Sanmay; Durfee, Edmund, Proceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems (AAMAS 2017), IFAAMAS, p. 24-32
Type
Communication / ConférenceDate
2017Conference title
16th Conference on Autonomous Agents and MultiAgent Systems (AAMAS '17)Conference date
2017-05Conference city
São PauloConference country
BrazilBook title
Proceedings of the 16th Conference on Autonomous Agents and MultiAgent Systems (AAMAS 2017)Book author
Larson, Kate; Winikoff, Michael; Das, Sanmay; Durfee, EdmundPublisher
IFAAMAS
Number of pages
1870Pages
24-32
Metadata
Show full item recordAuthor(s)
Lang, JérômeLaboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Monnot, Jérôme

Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Slinko, Arkadii
Zwicker, William
Union College
Abstract (EN)
Classical voting rules output a winning alternative (or a nonempty set of tied alternatives). Social welfare functions output a ranking over alternatives. There are many practical situations where we have to output a different structure than a winner or a ranking: for instance, a ranked or non-ranked set of $k$ winning alternatives, or an ordered partition of alternatives. We define three classes of such aggregation functions, whose output can have any structure we want; we focus on aggregation functions that output dominating chains, dominating subsets, and dichotomies. We address the computation of our rules, and start studying their normative properties by focusing on a generalisation of Condorcet-consistency.Subjects / Keywords
Graph theory; Graph algorithms analysis; Distributed artificial intelligenceRelated items
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