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Fixed Tree Games with Repeated Players

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Author Info

  • Miquel, S.
  • Velzen, S. van
  • Hamers, H.J.M.
  • Norde, H.W.

    (Tilburg University, Center for Economic Research)

Abstract

This paper introduces fixed tree games with repeated players (FRP games) which are a generalization of standard fixed tree games.This generalization consists in allowing players to be located in more than one vertex.As a consequence, these players can choose among several ways of connection with the root.In this paper we show that FRP games are balanced.Moreover, we prove that the core of an FRP game coincides with the core of a related concave fixed tree game.We show how to find the nucleolus and we characterize the orders which provide marginal vectors in the core of an FRP game.

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File URL: http://arno.uvt.nl/show.cgi?fid=10444
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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2003-87.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200387

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Web page: http://center.uvt.nl

Related research

Keywords: games; cooperative games; core;

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References

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  1. Koster, M.A.L. & Molina, E. & Sprumont, Y. & Tijs, S.H., 2001. "Sharing the cost of a network: Core and core allocations," Open Access publications from Tilburg University urn:nbn:nl:ui:12-91407, Tilburg University.
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Cited by:
  1. Christophe Labreuche & Michel Grabisch, 2008. "A value for bi-cooperative games," Post-Print halshs-00308738, HAL.

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