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A Cooperative Network Packing Game with Simple Paths

Author

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  • Sergei Dotsenko

    (Faculty of Information Technology, Taras Shevchenko National University of Kyiv, Gavrilishina Str. 24, 04116 Kyiv, Ukraine
    These authors contributed equally to this work.)

  • Vladimir Mazalov

    (Institute of Applied Mathematical Research, Karelian Research Center of the Russian Academy of Sciences, Pushkinskaya Str. 11, 185910 Petrozavodsk, Russia
    Faculty of Applied Mathematics-Control Processes, Saint-Petersburg State University, 7/9 Universitetskaya nab., 199034 Saint Petersburg, Russia
    These authors contributed equally to this work.)

Abstract

We consider a cooperative packing game in which the characteristic function is defined as the maximum number of independent simple paths of a fixed length included in a given coalition. The conditions under which the core exists in this game are established, and its form is obtained. For several particular graphs, the explicit form of the core is presented.

Suggested Citation

  • Sergei Dotsenko & Vladimir Mazalov, 2021. "A Cooperative Network Packing Game with Simple Paths," Mathematics, MDPI, vol. 9(14), pages 1-18, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1683-:d:596198
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    References listed on IDEAS

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