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This is a Quantitative Study study.

October 11, 2025Open Access

Optimal Candidate Positioning in Multi-Issue Elections

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Analysis of candidate positioning reveals NP-hardness in single-opponent cases, highlighting solutions for multi-candidate elections.

Computing optimal candidate locations is NP-hard against a single opponent, complicating campaign strategies.
An $O(n^3)$ hyperplane-enumeration algorithm solves the problem for small candidate dimensions effectively.
First approximation guarantees for multiple candidates improve understanding of general multi-candidate elections.
The approach extends to scoring rules like $k$-approval and Borda, enhancing strategic options for candidates.

Cleveland et al. (2025) studied this question.

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