Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Approximation method and equilibria of abstract economies


Authors: Kok-Keong Tan and Xian-Zhi Yuan
Journal: Proc. Amer. Math. Soc. 122 (1994), 503-510
MSC: Primary 90A14; Secondary 47N10
DOI: https://doi.org/10.1090/S0002-9939-1994-1211591-2
MathSciNet review: 1211591
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: By applying an equilibrium existence theorem for a qualitative game due to Ding and Tan and by employing an "approximation" method used by Tulcea, we obtain an equilibrium existence theorem for an abstract economy (generalized game) in which the constraint correspondences are not assumed to have open graphs nor open lower sections (which are generally assumed in the literature). Our result generalizes the corresponding results of Shafer and Sonnenschein (1975), Borglin and Keiding (1976), Yannelis and Prabhakar (1983), Tulcea (1986), and Chang (1990) in several ways.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 90A14, 47N10

Retrieve articles in all journals with MSC: 90A14, 47N10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1211591-2
Keywords: Compactly open, open graph, closed graph, lower semicontinuous, upper semicontinuous, class $ L_C$, $ L_C$-majorant, $ L_C$-majorized, one-person game, qualitative game, generalized game, abstract economy, equilibrium point, paracompact, topological vector space, locally convex space
Article copyright: © Copyright 1994 American Mathematical Society