Department of Applied Mathematics, University of Twente
Abstract
Bumb and Hoede have shown that a cooperative game can be split into two games, {\it the reward game} and {\it the fine game}, by considering the sign of quantities cSv​ in the c-diagram of the game. One can then define a solution x for the original game as x=xr​−xf​, where xr​ is a solution for the reward game and xf​ is a solution for the fine game. Due to the distinction of cooperation rewards and fines, for allocating the fines one may use another solution concept than for the rewards