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Multiobjective Cooperative Games with Restrictions on Coalitions

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Multiobjective Programming and Goal Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 618))

Abstract

In this paper we consider a multiobjective cooperative game with restrictions on coalitions. We define the restricted game of the original multiobjective cooperative game and discuss its properties, namely inheritance of superadditivity and convexity under appropriate combinatorial structures on the feasible coalition system. We also study the core of the restricted game.

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Author information

Authors and Affiliations

  1. Osaka University, Suita, Osaka, 565-0871, Japan

    Tetsuzo Tanino

Authors
  1. Tetsuzo Tanino
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Editor information

Editors and Affiliations

  1. LERIA, University of Angers, 2 Boulevard Lavoisier, Angers Cedex 01, 49045, France

    Vincent Barichard

  2. Dept. Engineering Science, University of Auckland, Auckland, 1020, New Zealand

    Matthias Ehrgott

  3. LINA, Lab. d'Informatique de Nantes Altantique, University of Nantes, 2 rue de la Houssinière, BP 92208, Nantes, 44322, France

    Xavier Gandibleux

  4. Laboratoire d'Informatique, Université Francois-Rabelais de Tours, 64 Avenue Jean Portalis, Tours, 37200, France

    Vincent T'Kindt

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© 2009 Springer-Verlag Berlin Heidelberg

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Tanino, T. (2009). Multiobjective Cooperative Games with Restrictions on Coalitions. In: Barichard, V., Ehrgott, M., Gandibleux, X., T'Kindt, V. (eds) Multiobjective Programming and Goal Programming. Lecture Notes in Economics and Mathematical Systems, vol 618. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85646-7_16

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