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The Computational Difficulty of Bribery in Qualitative Coalitional Games

Author

Listed:
  • Andrew Dowell

    (University of Liverpool)

  • Michael Wooldridge

    (University of Liverpool)

  • Peter McBurney

    (University of Liverpool)

Abstract

Qualitative coalitional games (QCG) are representations of coalitional games in which self interested agents, each with their own individual goals, group together in order to achieve a set of goals which satisfy all the agents within that group. In such a representation, it is the strategy of the agents to find the best coalition to join. Previous work into QCGs has investigated the computational complexity of determining which is the best coalition to join. We plan to expand on this work by investigating the computational complexity of computing agent power in QCGs as well as by showing that insincere strategies, particularly bribery, are possible when the envy-freeness assumption is removed but that it is computationally difficult to identify the best agents to bribe.

Suggested Citation

  • Andrew Dowell & Michael Wooldridge & Peter McBurney, 2007. "The Computational Difficulty of Bribery in Qualitative Coalitional Games," Working Papers 2007.100, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2007.100
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    References listed on IDEAS

    as
    1. Prasad, K & Kelly, J S, 1990. "NP-Completeness of Some Problems Concerning Voting Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(1), pages 1-9.
    2. Klaus Abbink & Bernd Irlenbusch & Elke Renner, 2002. "An Experimental Bribery Game," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 18(2), pages 428-454, October.
    3. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    4. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    5. M Sáiz & Eligius Hendrix & Niels Olieman, 2006. "On the Computation of Stability in Multiple Coalition Formation Games," Computational Economics, Springer;Society for Computational Economics, vol. 28(3), pages 251-275, October.
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    More about this item

    Keywords

    Bribery; Coalition Formation; Computational Complexity;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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