V2EX extensive form

Extensive Form

定义 Definition

“Extensive form”常指博弈论中的“扩展式(表示法)”:用博弈树来表示动态博弈,清晰展示行动顺序、信息结构(谁在何时知道什么)、参与者选择、可能结果与收益等。(也常说 extensive-form game:扩展式博弈。)

发音 Pronunciation (IPA)

/kstnsv frm/

例句 Examples

The game is easier to understand in extensive form.
用扩展式表示法,这个博弈更容易理解。

In the extensive form, we can model sequential moves, imperfect information, and chance events in a single game tree.
在扩展式中,我们可以用一棵博弈树同时刻画序贯行动、不完全信息以及随机事件。

词源 Etymology

extensive 源自拉丁语 extendere(“展开、延伸”),强调“把结构展开呈现”;form 来自拉丁语 forma(“形状、形式”)。合在一起,“extensive form”直观上就是“把过程展开成可视的形式”,对应博弈树的图形化表示。

相关词 Related Words

文学与经典著作 Literary Works

  • A Course in Game Theory(Osborne & Rubinstein)系统讲解扩展式博弈与信息集等概念
  • Game Theory(Fudenberg & Tirole)以扩展式框架分析动态博弈与均衡
  • An Introduction to Game Theory(Martin J. Osborne)入门教材中大量使用扩展式表示法展示动态互动
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