Convergences and compacting relations. Application to Stackelberg's equilibria (Q1313433)

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scientific article; zbMATH DE number 492570
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Convergences and compacting relations. Application to Stackelberg's equilibria
scientific article; zbMATH DE number 492570

    Statements

    Convergences and compacting relations. Application to Stackelberg's equilibria (English)
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    9 February 1994
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    A set is called a semi-convergence space if to each of its points is associated a family of semi-filters. This notion is used to prove ``\(\Gamma\)-inequalities'' in complete lattices, ``variational inclusion theorem'' and to investigate the notion of ``compacting relation at a point'' between two semi-convergence spaces. Some applications are given, in particular, sufficiency conditions for a problem of stability of Stackelberg's equilibria are obtained.
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    variational inclusion
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    compacting relation
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    semi-convergence space
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    stability of Stackelberg's equilibria
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