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arXiv · 1110.3939

Clone Structures in Voters' Preferences

Edith Elkind·Piotr Faliszewski·Arkadii Slinko
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Abstract

In elections, a set of candidates ranked consecutively (though possibly in different order) by all voters is called a clone set, and its members are called clones. A clone structure is a family of all clone sets of a given election. In this paper we study properties of clone structures. In particular, we give an axiomatic characterization of clone structures, show their hierarchical structure, and analyze clone structures in single-peaked and single-crossing elections. We give a polynomial-time algorithm that finds a minimal collection of clones that need to be collapsed for an election to become single-peaked, and we show that this problem is NP-hard for single-crossing elections.

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Edith Elkind, Piotr Faliszewski, Arkadii Slinko. 2011-10-18. Clone Structures in Voters' Preferences. https://arxiv.org/abs/1110.3939

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