頁籤選單縮合
題 名 | Fixed Points, Minimax Inequalities and Equilibria of Noncompact Abstract Economies |
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作 者 | 丁協平; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 2:1 1998.03[民87.03] |
頁 次 | 頁25-55 |
分類號 | 314 |
關鍵詞 | L毡-majorized correspondence; H-space; Abstract economy; Equilibrium; Maximal element; Fixed point theorem; |
語 文 | 英文(English) |
英文摘要 | Several new fixed point theorems in H-space are first proved. Next, by applying the fixed point theorems, some minimax inequalities and existence theorems of maximal elements for L �I correspondences and L �I -majorized correspondences in H-spaces are obtained. Finally, using the existence theorems of maximal elements, some equilibrium existence theorems for one-person games, qualitative games and noncompact abstract economies with L �I -majorized correspondences in H-spaces are obtained. Our theorems improve and generalize most known results due to Border, Borglin-Keiding, Ding-Kim-Tan, Ding-Tan, Ding-Tarafdar, Mehta-Tarafdar, Shafer-Sonnenschein, Tan-Yuan, Tarafdar, Toussaint, Tulcea, Yannelis and Yannelis-Prabhakar etc. |
本系統中英文摘要資訊取自各篇刊載內容。