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研究生: 吳玲君
Ling-Chun Wu
論文名稱: 關於逆向歸納的知識論基礎的報告
Topics on the epistemic foundation of backward induction
指導教授: 張企
Chih Chung
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 數學系
Department of Mathematics
論文出版年: 2007
畢業學年度: 96
語文別: 中文
論文頁數: 30
中文關鍵詞: 賽局論知識論逆向歸納
外文關鍵詞: game theory, epictemic, backward induction
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  • 在賽局論中,逆向歸納是一個古老的概念。許多文章中都有模型來解釋逆向歸納的知識論基礎。在本文中, 針對Aumann的模型、Asheim的模型與Samet的模型,我們將討論並比較三者間的相同處與相異處。


    Backward induction is one of the oldest concepts in game theory. There are many models to explain the epistemic foundation of backward induction in the literatures. In this thesis, we discuss and compare the similarities and differences between Aumann's model, Asheim's model and Samet's model.

    1 Introduction…………………………………………………1 2 Definition…………………………………………………3 3 Aumann’s model…………………………………………5 4 Asheim’s model…………………………………………8 5 Samet’s model……………………………………………16 6 Comparison……………………………………………28 7 Conclusion………………………………………………29 References……………………………………………………30

    1. Aumann, R. J. (1995) "Backward Induction and Common Knowledge of Rationality," Games and Economic Behavior. 8, 6-19.
    2. Asheim, G. B. (2002) "On the Epistemic Foundation for Backward Induction," Mathematical Social Sciences, 44,121-144.
    3. Samet, D. (1996) "Hypothetical Knowledge and Games with Perfect Information," Games and Economic Behavior. 17, 230-251.
    4. Perea, A. (2007) "Epistemic Foundations for Backward Induction: An Overview," Texts in Logic and Games, Vol. 1.
    5. Blume, L., A. Brandenburger, and E. Dekel (1991) "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Vol. 59, No. 1, 61-79.
    6. Blume, L., A. Brandenburger, and E. Dekel (1991) "Lexicographic Probabilities and Equilibrium Refinements," Econometrica, Vol. 59, No. 1, 81-98.

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