Value, complement reduction and interval TU games

In the framework of interval transferable-utility (TU) games, we introduce a generalization of the equal allocation of nonseparable cost (EANSC). Further, we extend the reduced game introduced by Moulin (1985) to interval TU games. By applying this extended reduction, two axiomatizations of this extended EANSC are proposed.Interval TU games, the equal allocation of nonseparable cost, reduced game.

Dividend approach and level consistency for the Derks and Peters value

Different from the potential approach of Hart and Mas-Colell (1989), we provide the dividend approach to multi-choice games. Also, we define the level-reduced game by reducing the number of the activity levels and define related consistency on multi-choice games.

Consistency and the core for fuzzy non-transferable-utility games

Different from the works of Hwang (2007), we provide two extensions of the reduced games introduced by Moulin (1985) and Voorneveld and van den Nouweland (1998) on fuzzy non-transferable-utility (NTU) games, respectively. Based on the reduced games, we provide an axiomatization of the core and show that the technique of the proof in Tadenuma (1992) can not be applied to the core in the context of fuzzy NTU games.

A new axiomatization of the core on fuzzy NTU games

In this note we show that on the domain of fuzzy NTU games whose core is non-empty, the core is the only solution satisfying non-emptiness, individual rationality and the reduced game property.Fuzzy games