演講者簡介 : Professor Hokari received his Ph.D. in Economics from University of Rochester in 2001. He is currently a Professor at the Department of Economics, Keio University. His research interests are Game Theory (Cooperative Games), and Mathematical Economics.
演講摘要 : Sobolev's axiomatization of the prenucleolus has been considered as one of the most beautiful results in the field of cooperative games. In this note, we argue that, although Soblev's proof of this result is mathematically correct, some parts of the proof are problematic. More specifically, for a given game with relatively small number of players if we follow Sobolev's argument, we have to construct another game with (unnecessarily) huge number of players. We use some examples to illustrate this point and suggest how to overcome such a difficulty.
