@article{oai:doshisha.repo.nii.ac.jp:00021298,
 author = {田中, 靖人 and Tanaka, Yasuhito},
 issue = {4},
 journal = {經濟學論叢, Keizaigaku-Ronso (The Doshisha University economic review)},
 month = {Mar},
 note = {最初Scarf(1967)によって与えられたNTU(譲渡不可能効用)ゲームにおけるコアの存在定理(「平衡ゲームにコアが存在する」という定理)は,Shapley(1973)やShapley and Vohra(1991)による証明のように通常はKakutaniの不動点定理を用いて証明されているが,本稿ではZhou(1994)による二段階の証明を統一する形でKakutaniの不動点定理よりも基本的なBrouwerの不動点定理を用いた証明について解説する。, The core existence theorem of an NTU (non-transferable utility) game that there exists a core in a balanced game, which was first presented by Scarf (Econometrica, 1967), is usually proved by means of proofs based on Kakutani's fixed point theorem such as Shapley (Mathematical Programming edited by Hu et al., Academic Press, 1973) and Shapley and Vohra (Economic Theory, 1991). On the other hand, in this paper, we present a proof of this theorem by means of Brouwer's fixed point theorem (which is more elementary than Kakutani's theorem) by unifying the two-stage proof by Zhou (Economic Theory, 1994)., 論説(Article), application/pdf},
 pages = {469--480},
 title = {Brouwerの不動点定理によるNTUコアの存在証明},
 volume = {60},
 year = {2009},
 yomi = {タナカ, ヤスヒト}
}