V2EX nash equilibrium

Nash Equilibrium

Definition / 定义

纳什均衡:在博弈中,每个参与者都选择了对自己最有利的策略,使得在他人策略不变的情况下,任何一方都无法仅靠单方面改变策略来获得更高收益的状态。(常见于博弈论;也有更一般的“均衡”用法。)

Pronunciation / 发音

/n kwlbrim/

Etymology / 词源

“Nash” 来自美国数学家与经济学家 John Nash(约翰纳什)的姓氏;“equilibrium” 源自拉丁语 aequilibriumaequi- “相等的” + libra “天平/秤”),表示“平衡、均衡”。合起来指纳什提出并形式化的重要博弈均衡概念。

Examples / 例句

In this game, both players choosing “stay quiet” is a Nash equilibrium.
在这个博弈中,两位玩家都选择“保持沉默”是一种纳什均衡。

Even if the outcome is inefficient, a Nash equilibrium can occur when no single firm can improve profit by changing price alone while rivals keep theirs unchanged.
即使结果并不高效,只要在竞争对手价格不变时,任何一家企业都无法通过单独改价来提高利润,就可能出现纳什均衡。

Related Words / 相关词

Literary Works / 文学与著作例证

  • John Nash, “Non-Cooperative Games”(1951,提出并证明纳什均衡存在性的重要论文)
  • Roger B. Myerson, **Game Theory: Analysis of Conflict**(1991,系统讲解纳什均衡等核心概念)
  • Drew Fudenberg & Jean Tirole, **Game Theory**(1991,高级教材中大量使用该术语)
  • Sylvia Nasar, **A Beautiful Mind**(1998,传记作品中提及纳什及其“纳什均衡”思想)
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