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Additive stable solutions on perfect cones of cooperative games

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Abstract.

Closed kernel systems of the coalition matrix turn out to correspond to cones of games on which the core correspondence is additive and on which the related barycentric solution is additive, stable and continuous. Different perfect cones corresponding to closed kernel systems are described.

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Authors and Affiliations

  1. CentER and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands. (E-mail: S.H.Tijs@kub.nl), , , , , , NL

    Stef Tijs

  2. Faculty of Computer Science, “A.I. Cuza” University, 11, Carol I Bd. 6600 Iasi, Romania. (E-mail: branzeir@infoiasi.ro), , , , , , RO

    Rodica Brânzei

Authors
  1. Stef Tijs
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  2. Rodica Brânzei
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Additional information

Received: December 2001/Revised: July 2002

RID="*"

ID="*"  This note contains the new results, which were presented by the first author in an invited lecture at the XIV Italian Meeting on Game Theory and Applications in Ischia, July 2001. The lecture was dedicated to Irinel Dragan on the occasion of his seventieth birthday.

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Tijs, S., Brânzei, R. Additive stable solutions on perfect cones of cooperative games. Game Theory 31, 469–474 (2003). https://doi.org/10.1007/s001820200119

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  • DOI: https://doi.org/10.1007/s001820200119

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