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Article

A Cooperative Network Packing Game with Simple Paths

by 1,† and 2,3,*,†
1
Faculty of Information Technology, Taras Shevchenko National University of Kyiv, Gavrilishina Str. 24, 04116 Kyiv, Ukraine
2
Institute of Applied Mathematical Research, Karelian Research Center of the Russian Academy of Sciences, Pushkinskaya Str. 11, 185910 Petrozavodsk, Russia
3
Faculty of Applied Mathematics-Control Processes, Saint-Petersburg State University, 7/9 Universitetskaya nab., 199034 Saint Petersburg, Russia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Mikhail Goubko
Mathematics 2021, 9(14), 1683; https://doi.org/10.3390/math9141683
Received: 20 May 2021 / Revised: 1 July 2021 / Accepted: 14 July 2021 / Published: 17 July 2021
(This article belongs to the Special Issue Mathematical Game Theory 2021)
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. View Full-Text
Keywords: network packing game; simple paths; core; linear programming network packing game; simple paths; core; linear programming
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MDPI and ACS Style

Dotsenko, S.; Mazalov, V. A Cooperative Network Packing Game with Simple Paths. Mathematics 2021, 9, 1683. https://doi.org/10.3390/math9141683

AMA Style

Dotsenko S, Mazalov V. A Cooperative Network Packing Game with Simple Paths. Mathematics. 2021; 9(14):1683. https://doi.org/10.3390/math9141683

Chicago/Turabian Style

Dotsenko, Sergei, and Vladimir Mazalov. 2021. "A Cooperative Network Packing Game with Simple Paths" Mathematics 9, no. 14: 1683. https://doi.org/10.3390/math9141683

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