Outer Diversity of Structured Domains

Piotr Faliszewski, Krzysztof Sornat, Stanisław Szufa, Tomasz Wąs

Keywords: Diversity, Ordinal Elections, Structured Domain, Single-Peaked, Single-Crossing.

TL;DR: Introduces outer diversity, a measure of diversity in ordinal domains, and evaluates it for well-known structured domains.

Abstract: An ordinal preference domain is a subset of preference orders that the voters are allowed to cast in an election. We introduce and study the notion of outer diversity of a domain and evaluate its value for a number of well-known structured domains, such as the single-peaked, single-crossing, group-separable, and Euclidean ones.

Area: Game Theory and Economic Paradigms (GTEP)

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Submission Number: 1147