Tata Institute of Fundamental Research

Voting on Restricted Preference Domains: A Survey

STCS Seminar
Speaker: Edith Elkind (Balliol College University of Oxford Department of Computer Science Room 413, Wolfson Building Parks Road, Oxford OX1 3QD United Kingdom)
Organiser: Umang Bhaskar
Date: Monday, 11 Dec 2017, 10:00 to 11:00
Venue: A-201 (STCS Seminar Room)

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Abstract:  Arrow's famous impossibility theorem (1951) states that there is no perfect voting rule: for three or more candidates, no voting rule can satisfy a small set of very appealing axioms. However, this is no longer the case if we assume that voters' preferences satisfy certain restrictions, such as being single-peaked or single-crossing. In this talk, we discuss single-peaked and single-crossing elections, as well as some other closely related restricted preference domains, and provide an overview of recent algorithmic results for these domains.