Since an extended core violates related properties of consistency, this paper proposes the concept of pseudo core. By focusing on the agents and the operational levels simultaneously, an extended reduction is also introduced to axiomatize the pseudo core. Furthermore, this paper adopts the...

Here we propose a weighted extension of the equal allocation of nonseparable costs (EANSC). Further, an axiomatization is also proposed by applying consistency.

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...

This paper is devoted to the study of solutions for multi-choice transferable-utility (TU) games which admit a potential, such as the potential associated with a solution in the context of multi-choice TU games. Several axiomatizations of the family of all solutions that admit a potential are...

The main focus of this paper is on the restricted Shapley value for multi-choice games introduced by Derks and Peters [Derks, J., Peters, H., 1993. A Shapley value for games with restricted coalitions. International Journal of Game Theory 21, 351-360] and studied by Klijn et al. [Klijn, F.,...

Inspired by Maschler and Owen (1989), we provide a dynamic approache to the multi-choice Shapley value proposed by Hsiao and Raghavan (1992,1993) under plurality-efficiency.

In this note we link the solutions for multi-choice games proposed by Hsiao and Raghavan (1992), Derks and Peters (1993), and Peters and Zank (2005) with the Shapley values of some particular TU games.