:Mathematical Society of Japan and Operations Research society of Japan
発表形態
:国際会議
記述原語
:英語
会議種別
:口頭発表(一般)
In this talk, we investigate a new type of convergence theorem to the nucleolus of an n-person cooperative game.
First, we define an lp-nucleolus as a generalization of the least square nucleolus of Ruiz et al.(1996) to a kind of lp norm minimizer. Next, we deal with the convergence of the lp-nucleolus to the nucleolus as p --> ∞.
This result gives not only a new characterization of the nucleolus, but also a new approximation method to obtain the nucleolus.