V2EX supermodularity

Supermodularity

Definition / 定义

supermodularity(超模性):一种用于数学、优化与经济学的性质。直观上,它表示“互补性/协同效应”:当一个变量变大时,另一个变量变大的“边际收益”也倾向于变大。常见于博弈论(策略互补)比较静态分析机制设计等领域。

Pronunciation / 发音

/suprmdjlrti/

Examples / 例句

Supermodularity helps explain why firms may increase investment when their competitors invest more.
超模性有助于解释:当竞争对手增加投资时,企业为什么也可能更愿意增加投资。

If the payoff function is supermodular, then optimal choices tend to move together, which supports monotone comparative statics in economic models.
如果收益函数具有超模性,那么最优选择往往会同向变动,从而支持经济模型中的单调比较静态结论。

Etymology / 词源

该词由 super-(“超出、更强”)+ modular(“模的/与模相关的”,来自拉丁语 modulus“尺度、小量”)+ -ity(名词后缀)构成。它源于格论与离散数学中的“模性(mdularity)”概念,后来在经济学中被用来刻画互补性(complementarity)与“策略互补”的结构性质。

Related Words / 相关词

Literary Works / 文学与学术作品

  • Donald M. Topkis, Supermodularity and Complementarity(直接以该概念为核心的经典著作)
  • Paul Milgrom & John Roberts, “Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities”(讨论策略互补/超模博弈的代表性论文)
  • Xavier Vives, Oligopoly Pricing: Old Ideas and New Tools(在产业组织与定价模型中使用相关工具)
  • Andreu Mas-Colell, Michael D. Whinston & Jerry R. Green, Microeconomic Theory(研究生微观经济学教材中涉及互补性与相关比较静态工具)
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