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Game Theory meets Formal Logic: Ein neuer Ansatz in der Spieltheorie

Author

Listed:
  • Arnis Vilks

    (Institut f³r Statistik und Íkonometrie, Universitõt Hamburg, Hamburg, Deutschland)

Abstract

Dieser Beitrag wirbt f³r den "logischen" Ansatz in der Spieltheorie, der eine Formalisierung der jeweils verwendeten Annahmen beinhaltet und dabei auch Alternativen zur ³blicherweise stillschweigend vorausgesetzten Logik in Betracht zieht. Nach einigen philosophischen Vorbemerkungen wird dargestellt, wie etwa "epistemische" Logik eingesetzt werden kann, um die Annahme zu formulieren, da▀ " die Struktur des Spiels" bekannt ist. Es zeigt sich, da▀ diese Annahme Unterschiedliches bedeuten kann, und da▀ sich entsprechend unterschiedliche Aussagen ³ber den Zusammenhang zwischen "Rationalitõt" und "backward induction" ergeben. Im letzten Abschnitt wird erlõutert, warum das in der ³blichen mathematischen Logik verwendete "Substitutivitõtsprinzip" im Kontext von Aussagen ³ber Wissen oder Glauben nicht plausibel ist.

Suggested Citation

  • Arnis Vilks, 1995. "Game Theory meets Formal Logic: Ein neuer Ansatz in der Spieltheorie," Homo Oeconomicus, Institute of SocioEconomics, vol. 12, pages 185-205.
    • Handle: RePEc:hom:homoec:v:12:y:1995:p:185-205
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