stochastic equilibrium
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2021 ◽  
Vol 42 (01) ◽  
Author(s):  
Anthony Papavasiliou ◽  
Yves Smeers ◽  
Gauthier de Maere d'Aertrycke

Author(s):  
JESS BENHABIB ◽  
KAZUO NISHIMURA

Author(s):  
Anh Quoc Lam ◽  
Hai Xuan Nguyen ◽  
Kien Trung Nguyen ◽  
Quan Hong Nguyen ◽  
Dang Thi My Van

In this paper we consider stochastic equilibrium problems involving parameter of probability measures. Employing KKM-Fan xed point theorem, conditions for the existence of solutions to such problems are established. We then propose new metric concepts on the underlying stochastic spaces and study some properties corresponding to these metrics. Afterwards, we study sucient conditions for the solution mappings of such problems, that are closed, upper (lower) semicontinuous and continuous with respect to the mentioned metrics. Finally, the special cases of stochastic optimization problems are taken into account as the applications.


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