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The Computational Difficulty of Bribery in Qualitative Coalitional Games

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  • Andrew Dowell

    (University of Liverpool)

  • Michael Wooldridge

    (University of Liverpool)

  • Peter McBurney

    (University of Liverpool)

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    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.

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    Bibliographic Info

    Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2007.100.

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    Date of creation: Nov 2007
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    Handle: RePEc:fem:femwpa:2007.100

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    Keywords: Bribery; Coalition Formation; Computational Complexity;

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    1. Klaus Abbink & Bernd Irlenbusch & Elke Renner, 2000. "An Experimental Bribery Game," Econometric Society World Congress 2000 Contributed Papers 1389, Econometric Society.
    2. Prasad, K & Kelly, J S, 1990. "NP-Completeness of Some Problems Concerning Voting Games," International Journal of Game Theory, Springer, vol. 19(1), pages 1-9.
    3. 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.
    4. M Sáiz & Eligius Hendrix & Niels Olieman, 2006. "On the Computation of Stability in Multiple Coalition Formation Games," Computational Economics, Society for Computational Economics, vol. 28(3), pages 251-275, October.
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