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Graphs Inducing Totally Balanced and Submodular Chinese Postman Games

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  • Hamers, H.J.M.
  • Josune Albizuri, M.

    (Tilburg University, Center for Economic Research)

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    Abstract

    Abstract A Chinese postman (CP) game is induced by a a weighted undirected, connected graph in which the edges are identified as players and a vertex is chosen as post-office location. Granot and Granot (2012) characterized graphs that give rise to CP games that are balanced. This note completes this line of research by characterizing graphs that give rise to CP games that are submodular (totally balanced, respectively).

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    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2013-006.

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    Date of creation: 2013
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    Handle: RePEc:dgr:kubcen:2013006

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    Related research

    Keywords: Chinese Postman games; submodularity; totally balancedness;

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    1. Hamers, H.J.M. & Borm, P.E.M. & Leensel, A. van den & Tijs, S.H., 1999. "Cost allocation in the Chinese postman problem," Open Access publications from Tilburg University urn:nbn:nl:ui:12-80680, Tilburg University.
    2. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    3. Yoshio Okamoto, 2003. "Submodularity of some classes of the combinatorial optimization games," Computational Statistics, Springer, vol. 58(1), pages 131-139, 09.
    4. Hamers, H.J.M. & Miquel, S. & Norde, H.W., 2011. "Monotonic Stable Solutions for Minimum Coloring Games," Discussion Paper 2011-016, Tilburg University, Center for Economic Research.
    5. Hamers, Herbert, 1997. "On the concavity of delivery games," European Journal of Operational Research, Elsevier, vol. 99(2), pages 445-458, June.
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