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    政大機構典藏 > 商學院 > 財務管理學系 > 學位論文 >  Item 140.119/94730
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/94730


    Title: 合縱與連橫的賽局分析-同時與循序移動
    A Game-Theoretic analysis of hezong and lianheng-simultaneous and sequential moves
    Authors: 粘思婷
    Nian, Sih Ting,
    Contributors: 王智賢
    粘思婷
    Nian, Sih Ting,
    Keywords: 同盟
    合縱
    連橫
    三人賽局
    alliance
    coalition
    league
    Hezong
    Lianheng
    three players
    Date: 2009
    Issue Date: 2016-05-09 11:45:19 (UTC+8)
    Abstract: 我們建立一個無窮多期的三人賽局,嘗試討論歷史上著名的合縱與連橫同盟策略。每位參賽者可以選擇自己的同盟對象,以增加最後獲勝的機率。我們從同時移動的賽局結構中,得到合縱策略(實力較弱的參賽者之間同盟)與連橫策略(與實力最強的參賽者同盟)均存在於混合策略。這將有助於同時解釋三國赤壁之戰的同盟、南宋與蒙古同盟等歷史事件。
    This paper will study a three-player game with infinite periods where each player decides whether to league together to increase his winning rate. We discuss which one will be chosen to be the member of leagues. The results show that Hezong and Lianheng both exist in mixed strategy Nash equilibriums of simultaneous move game. It is possible that the fall of Jin and the Battle of Red Cliffs in Chinese history were just coincident or random events. Furthermore the players usually have a tendency to be in league with the strongest.
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    Description: 碩士
    國立政治大學
    財政學系
    96255025
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0096255025
    Data Type: thesis
    Appears in Collections:[財務管理學系] 學位論文

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