Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Linear programming approach in cooperative games. / Zakharov, Victor V.; Kwon, O. Hun.
в: Journal of the Korean Mathematical Society, Том 34, № 2, 01.12.1997, стр. 469-480.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Linear programming approach in cooperative games
AU - Zakharov, Victor V.
AU - Kwon, O. Hun
PY - 1997/12/1
Y1 - 1997/12/1
N2 - In this paper we consider TU-cooperative games in the form of characteristic function. We notice that if one uses the necessary and sufficient condition for the core to be not empty in a dual form, it may be used for selecting the final outcome in the core. Using the linear programming approach for constructing the subcore, which is a subset of the core, we represent it in a simple form. We consider reduced games due to Davis-Mashler, Moulin and Funaki and formulate the sufficient conditions for the subcore to be S-consistent.
AB - In this paper we consider TU-cooperative games in the form of characteristic function. We notice that if one uses the necessary and sufficient condition for the core to be not empty in a dual form, it may be used for selecting the final outcome in the core. Using the linear programming approach for constructing the subcore, which is a subset of the core, we represent it in a simple form. We consider reduced games due to Davis-Mashler, Moulin and Funaki and formulate the sufficient conditions for the subcore to be S-consistent.
KW - Balanced game
KW - Consis- tency
KW - Cooperative game
KW - Core
KW - Subcore
UR - http://www.scopus.com/inward/record.url?scp=53249086015&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:53249086015
VL - 34
SP - 469
EP - 480
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
SN - 0304-9914
IS - 2
ER -
ID: 40898290