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Type Monotonic Allocation Schemes for Multi-Glove Games

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  • Brânzei, R.

    (Tilburg University, School of Economics and Management)

  • Solymosi, T.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

Abstract

Multiglove markets and corresponding games are considered.For this class of games we introduce the notion of type monotonic allocation scheme.Allocation rules for multiglove markets based on weight systems are introduced and characterized.These allocation rules generate type monotonic allocation schemes for multiglove games and are also helpful in proving that each core element of the corresponding game is extendable to a type monotonic allocation scheme.The T-value turns out to generate a type monotonic allocation scheme with nice extra properties.The same holds true for the nucleolus, for in multi glove games these two solutions coincide.
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Suggested Citation

  • Brânzei, R. & Solymosi, T. & Tijs, S.H., 2003. "Type Monotonic Allocation Schemes for Multi-Glove Games," Other publications TiSEM 2fed3103-b346-4023-a36d-f, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:2fed3103-b346-4023-a36d-fcb58a2cdc45
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    References listed on IDEAS

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    1. Cristina Fernández & Peter Borm & Ruud Hendrickx & Stef Tijs, 2005. "Drop out monotonic rules for sequencing situations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 61(3), pages 501-504, July.
    2. Mark Voorneveld & Stef Tijs & Sofia Grahn, 2003. "Monotonic allocation schemes in clan games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(3), pages 439-449, January.
    3. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    4. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Brânzei, R. & Tijs, S.H. & Timmer, J.B., 2001. "Information collecting situations and bi-monotonic allocation schemes," Other publications TiSEM b1fe5187-5a46-460d-aaeb-9, Tilburg University, School of Economics and Management.
    6. Potters, J.A.M. & Poos, R. & Tijs, S.H. & Muto, S., 1989. "Clan games," Other publications TiSEM 1855e4e3-7392-4ef0-a073-8, Tilburg University, School of Economics and Management.
    7. Rodica Brânzei & Stef Tijs & Judith Timmer, 2001. "Information collecting situations and bi-monotonic allocation schemes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 303-313, December.
    8. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Other publications TiSEM 488a314a-179c-4628-91e6-7, Tilburg University, School of Economics and Management.
    9. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    10. Potters, Jos & Poos, Rene & Tijs, Stef & Muto, Shigeo, 1989. "Clan games," Games and Economic Behavior, Elsevier, vol. 1(3), pages 275-293, September.
    11. Voorneveld, M. & Tijs, S.H. & Grahn, S., 2000. "Monotonic Allocation Schemes in Clan Games," Other publications TiSEM 20463456-4c29-45eb-9193-0, Tilburg University, School of Economics and Management.
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    1. Tijs, S.H. & Moretti, S. & Brânzei, R. & Norde, H.W., 2005. "The Bird Core for Minimum Cost Spanning Tree problems Revisited : Monotonicity and Additivity Aspects," Discussion Paper 2005-3, Tilburg University, Center for Economic Research.

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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