A Cooperative Network Packing Game with Simple Paths

Autor: Sergei Dotsenko, Vladimir Mazalov
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 14, p 1683 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9141683
Popis: 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.
Databáze: Directory of Open Access Journals