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Maximal elements in noncompact spaces with application to equilibria
Author(s):
Shiow-Yu
Chang
Journal:
Proc. Amer. Math. Soc.
132
(2004),
535-541.
MSC (2000):
Primary 91A13;
Secondary 52A07, 91B50
Posted:
June 11, 2003
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Additional information
Abstract:
A new maximal theorem for  -majorized correspondences in noncompact spaces is presented and applied to obtain an equilibrium existence theorem for noncompact abstract economies. The corresponding results of Borglin and Keiding (1976), Yannelis and Prabhakar (1983), Ding and Tan (1993), Yuan and Tarafdar (1996), and Ding and Yuan (1998) are generalized by our results.
References:
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Additional Information:
Shiow-Yu
Chang
Affiliation:
Department of Mathematics, Soochow University, Taipei, Taiwan, Republic of China
Email:
sychang@math.scu.edu.tw
DOI:
10.1090/S0002-9939-03-07054-0
PII:
S 0002-9939(03)07054-0
Keywords:
Maximal element,
abstract economy,
$L_S$-majorized correspondences
Received by editor(s):
January 30, 2002
Received by editor(s) in revised form:
September 30, 2002
Posted:
June 11, 2003
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
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