Bypassing Combinatorial Protections: Polynomial-Time Algorithms for Single-Peaked Electorates

@article{Brandt2010BypassingCP,
  title={Bypassing Combinatorial Protections: Polynomial-Time Algorithms for Single-Peaked Electorates},
  author={Felix Brandt and Markus Brill and Edith Hemaspaandra and Lane A. Hemaspaandra},
  journal={J. Artif. Intell. Res.},
  year={2010},
  volume={53},
  pages={439-496}
}
For many election systems, bribery (and related) attacks have been shown NP-hard using constructions on combinatorially rich structures such as partitions and covers. This paper shows that for voters who follow the most central political-science model of electorates— single-peaked preferences—those hardness protections vanish. By using single-peaked preferences to simplify combinatorial covering challenges, we for the first time show that NPhard bribery problems—including those for Kemeny and… CONTINUE READING
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