English

On Coalitional Manipulation for Multiwinner Elections: Shortlisting

Multiagent Systems 2019-08-15 v2 Computational Complexity Data Structures and Algorithms Computer Science and Game Theory

Abstract

Shortlisting of candidates--selecting a group of "best" candidates--is a special case of multiwinner elections. We provide the first in-depth study of the computational complexity of strategic voting for shortlisting based on the perhaps most basic voting rule in this scenario, l-Bloc (every voter approves l candidates). In particular, we investigate the influence of several tie-breaking mechanisms (e.g., pessimistic versus optimistic) and group evaluation functions (e.g., egalitarian versus utilitarian). Among other things, conclude that in an egalitarian setting strategic voting may indeed be computationally intractable regardless of the tie-breaking rule. Altogether, we provide a fairly comprehensive picture of the computational complexity landscape so far in the literature of this neglected scenario.

Keywords

Cite

@article{arxiv.1806.10460,
  title  = {On Coalitional Manipulation for Multiwinner Elections: Shortlisting},
  author = {Robert Bredereck and Andrzej Kaczmarczyk and Rolf Niedermeier},
  journal= {arXiv preprint arXiv:1806.10460},
  year   = {2019}
}

Comments

An extended abstract of this work appeared in Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence (IJCAI-17), pp. 887-893, 2017

R2 v1 2026-06-23T02:43:31.758Z