A solution set for fine games

G. Xu, C. Hoede, H. Sun

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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 languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages13
Publication statusPublished - 2005

Publication series

NameMemorandum Department of Applied Mathematics
PublisherUniversity of Twente
ISSN (Print)0169-2690


  • MSC-91A44

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