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A cost allocation problem analyzed as a partition function form game
Subtitle:Raport Badawczy = Research Report ; RB/19/2008
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:18 pages ; 21 cm ; Bibliography p. 17-18
Subject and Keywords:Systemy wspomagania decyzji ; Decision support system ; Alokacja kosztów ; Cooperative game theory ; Cost allocation ; Partition function form game ; Teoria gier koperacyjnych ; Gra w postaci funkcji partycji
Abstract:In the paper a cooperative game in partition function is proposed for the cost allocation problem. The game describes real situations in which payoff of any coalition does not only depend on the players in the coalition but also on the coalition structure of other players. Solution concepts are analyzed. It is shown that the core of the game in partition function form is equal to the core of an appropriately formulated game in characteristic function form. On the base of the theoretical results, the core, the stable sets and several nucleoli concepts can be derived and utilized for decision support.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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