V2EX weakly dominant

Weakly Dominant

Definition / 释义

(博弈论)弱占优(的):如果策略 \(s\) 相对于另一策略 \(t\) 在对手任何可能选择下带来的收益都不低于 \(t\),并且在至少一种对手选择下收益更高,则称 \(s\) weakly dominates \(t\)(“弱占优”)。
也常见于短语 weakly dominant strategy(弱占优策略)

Pronunciation / 发音(IPA)

  • AmE: /wikli dmnnt/
  • BrE: /wikli dmnnt/

Etymology / 词源

  • weakly 来自 weak(弱的)+ -ly(副词后缀),表示“以较弱的方式/程度上”。在博弈论里,“弱”不是“没用”,而是强调“至少不差(允许相等)”。
  • dominant 源自拉丁语词根 **domin-**(“主、支配”相关),在博弈论语境中表示“在各种情形下都更有利/不更差”的策略性质。
    合起来 weakly dominant 就是“在所有情况下不吃亏、并在某些情况下更占优势”的含义。

Examples / 例句

Choosing the sfe option is weakly dominant in this simple game.
在这个简单博弈中,选择更稳妥的选项是弱占优的。

If one pricing strategy is weakly dominant, a rational firm may still compare risks, because the payoffs can be equal in many cases.
如果某个定价策略是弱占优的,理性的公司仍可能比较风险,因为在许多情况下两种策略的收益可能相同。

Related Words / 相关词

Notable Works / 常见于的经典著作(相关章节)

  • A Course in Game Theory(Myerson)
  • Game Theory(Fudenberg & Tirole)
  • An Introduction to Game Theory(Osborne)
  • Theory of Games and Economic Behavior(von Neumann & Morgenstern,相关概念体系中常与“支配/占优”一起讨论)
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