The modiclus and core stability

International Journal of Game Theory - Tập 33 - Trang 467-478 - 2005
T. E. S. Raghavan1, Peter Sudhölter2
1Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago
2Department of Economics, University of Southern Denmark at Odense,  

Tóm tắt

The modiclus, a relative of the prenucleolus, assigns a singleton to any cooperative TU game. We show that the modiclus selects a member of the core for any exact orthogonal game and for any assignment game that has a stable core. Moreover, by means of an example we show that there is an exact TU game with a stable core that does not contain the modiclus.