Characterizations of a multi-choice value

A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. We study the extended Shapley value as proposed by Derks and Peters (1993). Van den Nouweland (1993) provided a c haracterization that is an extension of Young's (1985) characterization of the Shapley value. Here we provide several other characterizations, one of Which is the analogue of Shapley's (1953) original characterization. The th ree other Characterizations are inspired by Myerson's (1980) characterizati on of the Shapley value using balanced contributions.