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A pairwise-monotonic core selection for permutation games

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  • Silvia Miquel

Abstract

In this article, a single-valued solution for permutation games is proposed. If we consider that each agent on the permutation game acts both as a buyer and as a seller, a related assignment game with the same reward matrix is defined. In this two-sided related market, the midpoint between the buyers-optimal core allocation and the sellers-optimal core allocation is considered. Then, each agent in the permutation game merges his payoff as a buyer and his payoff as a seller. This solution belongs to the core of the one-sided market and it is pairwise-monotonic. Copyright Springer-Verlag 2009

Suggested Citation

  • Silvia Miquel, 2009. "A pairwise-monotonic core selection for permutation games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(3), pages 465-475, December.
    • Handle: RePEc:spr:mathme:v:70:y:2009:i:3:p:465-475
    DOI: 10.1007/s00186-008-0281-2
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    1. Curiel, I. & Tijs, S.H., 1986. "Assignment games and permutation games," Other publications TiSEM c9a47c3b-28d3-4874-b0a2-f, Tilburg University, School of Economics and Management.
    2. Quint, Thomas, 1996. "On One-Sided versus Two-Sided Matching Games," Games and Economic Behavior, Elsevier, vol. 16(1), pages 124-134, September.
    3. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    4. Tijs, S.H. & Parthasarathy, T. & Potters, J.A.M. & Rajendra Prasad, V., 1984. "Permutation games : Another class of totally balanced games," Other publications TiSEM a7edfa18-6224-4be3-b677-5, Tilburg University, School of Economics and Management.
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    More about this item

    Keywords

    Permutation game; Core; Pairwise-monotonicity; τ-value; 91A12; 91A40;
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