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On the monotonic core

  • Jesus Fco. Getan Olivan
  • Jesus Montes
  • Carlos Rafels Pallarola

    (Universitat de Barcelona)

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    The monotonic core of a cooperative game with transferable utility (T.U.-game) is the set formed by all its Population Monotonic Allocation Schemes. In this paper we show that this set always coincides with the core of a certain game associated to the initial game.

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    Paper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 155.

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    Length: 14 pages
    Date of creation: 2006
    Date of revision:
    Handle: RePEc:bar:bedcje:2006155
    Contact details of provider: Postal: Espai de Recerca en Economia, Facultat de Ciències Econòmiques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.
    Web page: http://www.ere.ub.es

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    1. repec:ner:tilbur:urn:nbn:nl:ui:12-91573 is not listed on IDEAS
    2. 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.
    3. Norde, Henk & Reijnierse, Hans, 2002. "A dual description of the class of games with a population monotonic allocation scheme," Games and Economic Behavior, Elsevier, vol. 41(2), pages 322-343, November.
    4. Moulin, H, 1990. "Cores and Large Cores When Population Varies," International Journal of Game Theory, Springer, vol. 19(2), pages 219-32.
    5. Hans Reijnierse & Jean Derks, 1998. "Note On the core of a collection of coalitions," International Journal of Game Theory, Springer, vol. 27(3), pages 451-459.
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