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On Coalitional Manipulation for Multiwinner Elections: Shortlisting

Authors: Robert Bredereck; Andrzej Kaczmarczyk 0001; Rolf Niedermeier;

On Coalitional Manipulation for Multiwinner Elections: Shortlisting

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 most natural and simple 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) and conclude that in an egalitarian setting strategic voting may indeed be computationally intractable regardless of the tie-breaking rule. We provide a fairly comprehensive picture of the computational complexity landscape of this neglected scenario.

Country
Germany
Keywords

ddc:004, FOS: Computer and information sciences, Strategic voting, Computational Complexity (cs.CC), Tie-breaking, Computer Science - Computer Science and Game Theory, tie-breaking, Computer Science - Data Structures and Algorithms, Computer Science - Multiagent Systems, Data Structures and Algorithms (cs.DS), 000 Informatik, Informationswissenschaft, allgemeine Werke::000 Informatik, Wissen, Systeme::004 Datenverarbeitung; Informatik, utility aggregation, SNTV, Parameterized computational complexity, strategic voting, bloc, Computational social choice, parameterized computational complexity, computational social choice, 004 Informatik, Utility aggregation, Computer Science - Computational Complexity, Bloc, Multiagent Systems (cs.MA), Computer Science and Game Theory (cs.GT)

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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