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Bull. Korean Math. Soc. 1996; 33(4): 587-592
Printed December 1, 1996
Copyright © The Korean Mathematical Society.
A new equilibrium existence via connectedness
Dong Il Rim, Sung Mo Im, and Won Kyu Kim
Chungbuk National University, Chungbuk National University and Chungbuk National University
The purpose of this note is to prove a new existence of maximal element by using the connectness property, and next an existence theorem of equilibrium for 1-person game is established as an application.
Keywords: Connectedness, closed multimap upper semicontinuous, maximal element, equilibrium
MSC numbers: Primary 47N10, 54C60; Secondary 54D05, 90A14
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