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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2010 Issue 31.1, Pages 78–92 (Mi ubs471)

Analysis and Synthesis of Control Systems

A consensus value for games with coalition structure

A. B. Zinchenko, G. V. Mironenko, P. A. Provotorova

Southern Federal University

Abstract: The class of TU-games for which almost all solution concepts, except the consensus value, yield paradoxical results is selected. It is proved that it is big boss games. Generalisation of the consensus value for games with coalition structure is introduced.

Keywords: coalition structure, coalition value, consensus value, big boss game, axiomatization.

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