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Communication dans un congrès

Complexity of and algorithms for Borda manipulation

Abstract : We prove that it is NP-hard for a coalition of two manipulators to compute how to manipulate the Borda voting rule.This resolves one of the last open problems in the computational complexity of manipulating common voting rules. Because of this NP-hardness, we treat computing a manipulation as an approximation problem where we try to minimize the number of manipulators. Based on ideas from bin packing and multiprocessor scheduling, we propose two new approximation methods to compute manipulations of the Borda rule. Experiments show that these methods significantly outperform the previous best known approximation method. We are able to find optimal manipulations in almost all the randomly generated elections tested. Our results suggest that, whilst computing a manipulation of the Borda rule by a coalition is NP-hard, computational complexity may provide only a weak barrier against manipulation in practice.
Keywords : multiagent systems
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Communication dans un congrès
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https://hal.inrae.fr/hal-02746213
Déposant : Migration Prodinra <>
Soumis le : mercredi 3 juin 2020 - 09:42:38
Dernière modification le : vendredi 12 juin 2020 - 10:43:26

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  • HAL Id : hal-02746213, version 1
  • PRODINRA : 164609

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Jessica Davies, Georgios Katsirelos, Nina Narodytska, Toby Walsh. Complexity of and algorithms for Borda manipulation. Twenty-fifth Conference on Artificial Intelligence, AAAI 2011, Association for the Advancement of Artificial Intelligence, Association for the Advancement of Artificial Intelligence (AAAI). Labo/service de l'auteur, USA., Nov 2011, San Francisco, California, United States. ⟨hal-02746213⟩

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