A core-allocation for a network restricted linear production game

Ichiro Nishizaki (), Tomohiro Hayashida and Yuki Shintomi

Annals of Operations Research, 2016, vol. 238, issue 1, 389-410

Abstract: This paper deals with a linear production game with restricted communication. Based on the Owen solution (Owen in Math Progr 9:358–370, 1975 ), we propose a core-allocation reflecting the communication situation defined by a network. The core of a linear production game with unrestricted communication is included by that of the corresponding network restricted game. Taking this property into account, we develop a procedure for modifying the Owen solution to reflect the configuration of the enlarged core. Copyright Springer Science+Business Media New York 2016

Keywords: Linear production planning problem; Cooperative game; Network; Core (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10479-016-2109-4

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