Upper Semicontinuous Representability of Maximal Elements for Nontransitive Preferences

2019 ◽  
Vol 181 (3) ◽  
pp. 758-765
Author(s):  
Gianni Bosi ◽  
Magalì Zuanon
Keyword(s):  
Maximal Elements ◽  
Upper Semicontinuous ◽  
Nontransitive Preferences

Numerical Representations for Nontransitive Preferences

2011 ◽  
Author(s):  
Carmen Vázquez Pampín ◽  
Carmen Quinteiro Sandomingo
Keyword(s):  
Nontransitive Preferences ◽  
Numerical Representations

scholarly journals A maximum principle

1979 ◽  
Vol 28 (1) ◽  
pp. 23-26
Author(s):  
Kung-Fu Ng
Keyword(s):  
Maximum Principle ◽  
Extreme Point ◽  
Convex Space ◽  
Maximal Element ◽  
Locally Convex Space ◽  
Compact Set ◽  
Natural Manner ◽  
Upper Semicontinuous ◽  
Nonempty Compact ◽  
Locally Convex

AbstractLet K be a nonempty compact set in a Hausdorff locally convex space, and F a nonempty family of upper semicontinuous convex-like functions from K into [–∞, ∞). K is partially ordered by F in a natural manner. It is shown among other things that each isotone, upper semicontinuous and convex-like function g: K → [ – ∞, ∞) attains its K-maximum at some extreme point of K which is also a maximal element of K.Subject classification (Amer. Math. Soc. (MOS) 1970): primary 46 A 40.

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