A multi-choice game is a generalization of a cooperative game in which each player has several activity levels.This note provides several characterizations of the extended Shapley value as proposed by Derks and Peters (1993).Three characterizations are based on balanced contributions properties,...

The object of study is cooperation in joint projects, where agents may have different desired sophistication levels for the project, and where some of the agents may have low budgets.In this context questions concerning the optimal realizable sophistication level and the distribution of the...