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Generalized input-output inequality systems. (English) Zbl 1111.46056
Summary: Two types of generalized Leontief input-output inequality systems are introduced. The minimax properties for a class of functions associated with the inequalities are studied. Sufficient and necessary conditions for the inequality systems to have solutions are obtained in terms of the minimax value. Stability analysis for the solution set is provided in terms of upper semi-continuity and hemi-continuity of set-valued maps.
MSC:
46N10Applications of functional analysis in optimization and programming
90C47Minimax problems
91B02Fundamental topics on applicability to economics