G. V. Kolesnik, “Modeling of uncertainty in the formation of coalitions in cooperative games”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2007, Issue 5,Pages <nobr>87

MATHEMATICAL MODELS IN THE ECONOMY

Modeling of uncertainty in the formation of coalitions in cooperative games

G. V. Kolesnik

Tver State University, Tver

Abstract: The extension of the classic coalitional game is considered which reflects a priori uncertainty in the results of the negotiations among the players. For this problem the concepts of the core and the value are formulated and their connection with the balancedness of the original game is studied.

Keywords: cooperative game, coalition, uncertainty, negotiations, coalitional structure, core, game value.

UDC: 519.834

Received: 12.03.2007
Revised: 28.05.2007