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Pareto optimal coalitions of fixed size

Author

Listed:
  • Agnes Cseh

    (Centre for Economic and Regional Studies, Institute of Economics)

  • Tamas Fleiner

    (Centre for Economic and Regional Studies, Institute of Economics and Department of Computer Science and Information Theory, Budapest University of Technology and Economics)

  • Petra Harjan

    (Department of Computer Science and Information Theory, Budapest University of Technology and Economics)

Abstract

We tackle the problem of partitioning players into groups of fixed size, such as allocating eligible students to shared dormitory rooms. Each student submits preferences over the other individual students. We study several settings, which differ in the size of the rooms to be filled, the orderedness or completeness of the preferences, and the way of calculating the value of a coalition---based on the best or worst roommate in the coalition. In all cases, we determine the complexity of deciding the existence, and then finding a Pareto optimal assignment, and the complexity of verifying Pareto optimality for a given assignment.

Suggested Citation

  • Agnes Cseh & Tamas Fleiner & Petra Harjan, 2020. "Pareto optimal coalitions of fixed size," CERS-IE WORKING PAPERS 2005, Institute of Economics, Centre for Economic and Regional Studies.
    • Handle: RePEc:has:discpr:2005
    as

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    References listed on IDEAS

    as
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    3. Aziz, Haris & Brandt, Felix & Harrenstein, Paul, 2013. "Pareto optimality in coalition formation," Games and Economic Behavior, Elsevier, vol. 82(C), pages 562-581.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Pareto-optimality; coalition; game theory;
    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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