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A note on a value with incomplete communication

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Abstract

The Myerson's models on partial cooperation in cooperative games have been studied extensively by Borm, Owen, Tijs and Myerson. Hamiache proposes a new solution concept for the case in which the communication relations among players are modelled by means of an undirected graph. In this work, we analize this value making some vagueness clear, generalize this value to other models of partial cooperation emphasizing the differences in the generalization and we include some comparative calculations of this value with the Myerson value and the position value.

Suggested Citation

  • Jesús Mario Bilbao & Nieves Jiménez & Jorge Jesús López, 2004. "A note on a value with incomplete communication," Economic Working Papers at Centro de Estudios Andaluces E2004/55, Centro de Estudios Andaluces.
  • Handle: RePEc:cea:doctra:e2004_55
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    Cited by:

    1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    2. Gérard Hamiache, 2011. "Graph monotonic values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(2), pages 287-307, July.

    More about this item

    Keywords

    Cooperative game; Myerson value; position value; consistency.;

    JEL classification:

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

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