We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...

Interval games are an extension of cooperative coalitional games in which players are assumed to face payoff uncertainty as represented by a closed interval. In this study, we examine two interval-game versions of Shapley values (i.e., the interval Shapley value and the interval Shapley-like...