✦ LIBER ✦

Maximal Elements and Equilibria of Generalized Games for Condensing Correspondences

✍ Scribed by Xian-Zhi Yuan

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 216 KB
Volume: 203
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0364

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we first obtain some fixed point theorems in locally convex topological vector spaces which in turn imply some existence theorems of maximal elements for ⌿-condensing correspondences. Then by employing approximation methods, we prove some existence theorems of equilibria for generalized games in which the constraint correspondences are ⌿-condensing and lower or upper semicontinuous instead of having open lower sections or open graphs in infinite dimensional locally convex topological vector spaces. Finally, an existence theorem for the N-person game is also given. In particular, the corresponding results in the literature have been improved.

📜 SIMILAR VOLUMES

Remarks on Fixed Points, Maximal Element

Remarks on Fixed Points, Maximal Elements, and Equilibria of Generalized Games

✍ Lai-Jiu Lin; Sehie Park; Zenn-Tsuen Yu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 120 KB

Maximal Element Theorems of H-Majorized

Maximal Element Theorems of H-Majorized Correspondence and Existence of Equilibrium for Abstract Economies

✍ Zi-Fei Shen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 113 KB

In this paper, two new existence theorems of maximal elements for H-majorized correspondences are established in a kind of nonparacompact H-spaces. As applications, the existence problems of equilibrium for abstract economies are studied. Our theorems improve and generalize some recent results in th