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Spanning network games

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Author Info

  • Daniel Granot

    ()
    (Faculty of Commerce and Business Administration, The University of British Columbia, 2053 Main Mail, Vancouver, B.C., Canada V6T 1Z2)

  • Michael Maschler

    ()
    (Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel)

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    Abstract

    We study fundamental properties of monotone network enterprises which contain public vertices and have positive and negative costs on edges and vertices. Among the properties studied are the nonemptiness of the core, characterization of nonredundant core constraints, ease of computation of the core and the nucleolus, and cases of decomposition of the core and the nucleolus.

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    Bibliographic Info

    Article provided by Springer in its journal International Journal of Game Theory.

    Volume (Year): 27 (1998)
    Issue (Month): 4 ()
    Pages: 467-500

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    Handle: RePEc:spr:jogath:v:27:y:1998:i:4:p:467-500

    Note: Received December 1994/Final version March 1998
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    Web page: http://link.springer.de/link/service/journals/00182/index.htm

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    Related research

    Keywords: Games · cooperative games · networks · core · nucleolus · decomposition · minimum cost spanning tree games;

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    Cited by:
    1. Martin Hoefer, 2013. "Strategic cooperation in cost sharing games," International Journal of Game Theory, Springer, vol. 42(1), pages 29-53, February.
    2. Dutta, Bhaskar & Kar, Anirban, 2002. "Cost Monotonicity, Consistency And Minimum Cost Spanning Tree Games," The Warwick Economics Research Paper Series (TWERPS) 629, University of Warwick, Department of Economics.
    3. Kar, Anirban, 2002. "Axiomatization of the Shapley Value on Minimum Cost Spanning Tree Games," Games and Economic Behavior, Elsevier, vol. 38(2), pages 265-277, February.
    4. Juan J. Vidal-Puga & Gustavo Bergantiños, 2004. "Defining Rules in Cost Spanning Tree Problems Through the Canonical Form," Working Papers 2004.97, Fondazione Eni Enrico Mattei.
    5. Bergantiños, Gustavo & Vidal-Puga, Juan, 2009. "Additivity in minimum cost spanning tree problems," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 38-42, January.
    6. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 9(2), pages 139-199, December.
    7. Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Additivity in cost spanning tree problems," Game Theory and Information 0405001, EconWPA.
    8. Guillermo Owen, 2010. "Michael Maschler’s bibliography," International Journal of Game Theory, Springer, vol. 39(1), pages 301-308, March.

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