Title
How Hard is Control in Single-Crossing Elections?
Abstract
Election control problems model situations where some entity (traditionally called the election chair) wants to ensure some candidate's victory by either adding or deleting candidates or voters. The complexity of deciding if such control actions can be successful is well-studied for many typical voting rules and, usually, such control problems are $$\\mathrm {NP}$$NP-complete. However, Faliszewski et al. (Inf Comput 209(2):89---107, 2011) have shown that many control problems become polynomial-time solvable when we consider single-peaked elections. In this paper we show that a similar phenomenon applies to the case of single-crossing elections. Specifically, we consider the complexity of control by adding/deleting candidates/voters under plurality, Condorcet, and approval voting. For each of these control types and each of the rules, we show that if the control type is $$\\mathrm {NP}$$NP-complete in general, it becomes polynomial-time solvable for single-crossing elections.
Year
DOI
Venue
2017
10.1007/s10458-016-9339-3
Autonomous Agents and Multi-Agent Systems
Keywords
DocType
Volume
Elections,Control,Complexity,Single-crossing,Approval,Condorcet,Plurality
Journal
31
Issue
ISSN
Citations 
3
1387-2532
2
PageRank 
References 
Authors
0.37
31
2
Name
Order
Citations
PageRank
Krzysztof Magiera171.56
Piotr Faliszewski2139594.15