2016
DOI: 10.1016/j.ejor.2015.08.052
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Solving hard control problems in voting systems via integer programming

Abstract: a b s t r a c tVoting problems are central in the area of social choice. In this article, we investigate various voting systems and types of control of elections. We present integer linear programming (ILP) formulations for a wide range of NP-hard control problems. Our ILP formulations are flexible in the sense that they can work with an arbitrary number of candidates and voters. Using the off-the-shelf solver Cplex, we show that our approaches can manipulate elections with a large number of voters and candida… Show more

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Cited by 8 publications
(4 citation statements)
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“…For example, a vote should not be traceable back to the voter in e-voting. E-voting uses computers, mobile devices, and internet to accomplish the whole vote procedure, which is a research field of cryptography with the basic of encryption and signature algorithms [12,15,16].…”
Section: Motivationsmentioning
confidence: 99%
“…For example, a vote should not be traceable back to the voter in e-voting. E-voting uses computers, mobile devices, and internet to accomplish the whole vote procedure, which is a research field of cryptography with the basic of encryption and signature algorithms [12,15,16].…”
Section: Motivationsmentioning
confidence: 99%
“…We first give a natural polynomial-time reduction of the possible winners to Integer Linear Programming (ILP) for all positional scoring rules. Note that ILP has been used in earlier research on the complexity of voting problems as a theoretical technique for proving upper bounds (fixed-parameter tractability) in the parameterized complexity of the possible winners [4,14,21] or in election manipulation problems involving complete preferences [17]. Here, we investigate the use of ILP solvers to compute the possible winners in practice.…”
Section: Introductionmentioning
confidence: 99%
“…According to Alam, Mezbahuddin, and Shoma (2015), in the earth, election is very much liking word. When a group of people with individual preferences has to decide which alternative to choose from a given set of alternatives, an election is often carried out (Polykovskiy, Berghammer, & Neumann, 2016). Therefore, obtaining a group ranking or a winning candidate from individual's preferences on a set of alternatives is an important group decision problem with social choice and voting system implications (Aghayi & Tavana, 2019).…”
Section: Introductionmentioning
confidence: 99%