# A solution set for fine games

G. Xu, C. Hoede, H. Sun

Research output: Book/ReportReportProfessional

## 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 $c_S^v$ in the c-diagram of the game. One can then define a solution $x$ for the original game as $x=x_{r}-x_{f}$, where $x_{r}$ is a solution for the reward game and $x_{f}$ 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.
Original language English Enschede University of Twente, Department of Applied Mathematics 13 Published - 2005

### Publication series

Name Memorandum Department of Applied Mathematics University of Twente 1757 0169-2690

• MSC-91A44