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  • 1985-1989  (2)
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    International journal of game theory 15 (1986), S. 155-162 
    ISSN: 1432-1270
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Wirtschaftswissenschaften
    Notizen: Abstract Some inf-sup and saddle point theorems are proved for functionsf: X×Y → IR (=reals). The general theorems weaken some of the convexity conditions that are usually imposed onX, Y, andf. Some special cases are considered — these results impose some convexity in the hypotheses but still treat situations not covered by classical theorems.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Acta applicandae mathematicae 15 (1989), S. 275-300 
    ISSN: 1572-9036
    Schlagwort(e): 90C31 ; 90D10 ; 54C60 ; Parametric optimization ; Nash equilibrium ; continuous solutions ; Serre multifunctions
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract The question of the existence of approximate solutions in parametric optimization is considered. Most results show that (under hypotheses) if a certain optimization problem has an approximate solution x 0 for a value p 0 of a parameter, then an approximate solution x=b(p) can be found for p in P, with b continuous, b(p 0)=x0, and any two such bs are homotopic. Some topological methods (use of fibrations) are used to weaken the usual ‘convex’ hypotheses of such results. An equisemicontinuity condition (relative to a constraint) is introduced to allow some noncompactness. The results are applied to get approximate Nash equilibrium results for games with some nonconvexity in the strategy sets.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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