FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 3, PAGES 783-796
B. O. Kuliev
Abstract
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The paper provides a formalism for the notion
of fuzzy coalition and coalition
structures of firms as the general case of coalitions and coalition
structures. We study the properties of fuzzy coalition
structures and introduce operations on coalitions. We investigate
an important particular case, the coalitions and coalition
structures, for which two axiom systems are proposed, depending on
the type of interaction between coalitions: Stackelberg system and Cournot
system. We define the notion of stability for coalition
structures, study the properties of the stable coalition
structures and propose a criterion to determine them.
We give a connection between Stackelberg and Cournot structures
and their comparison.
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Last modified: December 23, 2001