An algorithm for the coalitional manipulation problem under Maximin

  • Authors:
  • Michael Zuckerman;Omer Lev;Jeffrey S. Rosenschein

  • Affiliations:
  • The Hebrew University of Jerusalem;The Hebrew University of Jerusalem;The Hebrew University of Jerusalem

  • Venue:
  • The 10th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
  • Year:
  • 2011

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Abstract

We introduce a new algorithm for the Unweighted Coalitional Manipulation problem under the Maximin voting rule. We prove that the algorithm gives an approximation ratio of 1 2/3 to the corresponding optimization problem. This is an improvement over the previously known algorithm that gave a 2-approximation. We also prove that its approximation ratio is no better than 1 1/2, i.e., there are instances on which a 1 1/2-approximation is the best the algorithm can achieve. Finally, we prove that no algorithm can approximate the problem better than to the factor of 1 1/2, unless p = NP.