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Equilibria of the abstract economy under almost lower semi-continuous assumption. (English) Zbl 1058.91057

For special abstract economies, where constraints and preferences are correspondences (set-valued mappings, multifunctions), the authors prove the existence of equilibria under different conditions. Especially the constraint correspondences only have to satisfy a weakened lower semicontinuity, given by F. Deutsch and P. Kenderov [SIAM J. Math. Anal. 14, 185–194 (1983; Zbl 0518.41031)] or even (in finite dimensional cases) a slightly weaker one. To get the desired existence results they use in particular Himmelberg’s fixed point theorem, the finite intersection property and Michael’s selection theorem.

MSC:

91B52 Special types of economic equilibria
54C60 Set-valued maps in general topology
54C65 Selections in general topology
91B54 Special types of economic markets (including Cournot, Bertrand)

Keywords:

selections

Citations:

Zbl 0518.41031
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