# 17-094/II (2017-10-06)

Author(s)
Rene (J.R.) van den Brink, VU Amsterdam; Tinbergen Institute, The Netherlands; Osman Palanci, Suleyman Demirel University, Isparta, Turkey; S. Zeynep Alparslan Gok, Suleyman Demirel University, Isparta, Turkey
Keywords:
Cooperative TU-game, interval game, Moore subtraction, Moore-Shapley interval solution.
JEL codes:
C71

Standard solutions for TU-games assign to every TU-game a payoff vector. However, if there is uncertainty about the payoff allocation then we cannot just assign a specific payoff to every player. Therefore, in this paper we introduce interval solutions for TU-games which assign to every TU-game a vector of payoff intervals. Since the solution we propose uses marginal vectors of the interval game, we need to apply a difference operator on intervals. Applying the subtraction operator of Moore (1979), we define an interval solution for TU-games, and we provide an axiomatization.