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New existence of equilibria in generalized SSC

✍ Scribed by Won Kyu Kim; George Xian-Zhi Yuan

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
493 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

The purpose of this paper is to prove new existence theorems of equilibria in generalized SSC without assuming the interior condition of the state correspondence nor the strong continuity assumption on agent's preference correspondence by using the Fan-Glicksberg fixed-point theorem, and also give some corollaries including the Nash equilibrium existence for an abstract economy. Our results generalize the corresponding results due to Keiding, Vind and Kim and Yuan in several ways.

πŸ“œ SIMILAR VOLUMES

Existence of generalized equilibria
Existence of generalized equilibria
✍ Bernard Cornet; Marc-Olivier Czarnecki πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 183 KB

belong to R n , we denote (x | y) = n i=1 x i y i , the scalar product of the sum of the sets X and Y; B(X; r) = X + B(0; r); B(X; r) = X + B(0; r); cl X , the closure of X , int X , the interior of X; bd X = cl X \ int X , the boundary of X; X β€’ = {y ∈ R n |βˆ€x ∈ X; (y | x) ≀ 0}, the negative polar