遊戲論是數學的一個分支,它處理對博弈(即,涉及利益衝突各方的情況)的分析。除了簡單博弈中可能存在的數學優雅性和完整的“解”之外,博弈論的原理也應用於複雜的博弈,如紙牌、跳棋和國際象棋,以及現實世界中各種各樣的問題,如經濟學、財產分割、政治和戰爭。
遊戲論有兩個不同的分支:組合博弈論和經典博弈論。
組合博弈論涵蓋了完全資訊的兩人博弈,例如圍棋、國際象棋或跳棋。值得注意的是,組合博弈沒有機會元素,並且玩家輪流進行。
在經典博弈論中,玩家同時移動、下注或制定策略。隱藏資訊和機會元素是這個博弈論分支的常見特徵,它也是經濟學的一個分支。
電視劇犯罪劇集《Dirty Bomb》(2005 年)一集(以及許多其他劇集)中,主角查理使用博弈論作為解決犯罪的工具。
另請參閱
Borel 決定性定理,
範疇博弈,
跳棋,
國際象棋,
組合博弈論,
決策論,
有限博弈,
無用博弈,
博弈期望,
博弈鞍點,
圍棋,
公平博弈,
Mex,
極小極大定理,
混合策略,
納什均衡,
納什定理,
尼姆遊戲,
尼姆值,
偏袒博弈,
收益矩陣,
Peg Solitaire,
完全資訊,
安全,
策略,
一報還一報,
不安全,
值,
Wythoff 遊戲,
零和博弈
使用 探索
參考文獻
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遊戲論
引用為
Weisstein, Eric W. “遊戲論。” 來自 ——Wolfram 網路資源。 https://mathworld.tw/GameTheory.html
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