数学在经济学中不合理的无效性

The unreasonable ineffectiveness of mathematics in economics

Cambridge Journal of Economics · 2005
被引 93
人大 A-ABS 3

中文导读

论证数学经济学既不合理又无效,因为其数学假设缺乏经济依据,且形式化导致非构造性和不可计算结构。作者提出未来经济学应探索基于替代数学结构的实验方法。

Abstract

In this paper I attempt to show that mathematical economics is unreasonably ineffective. Unreasonable, because the mathematical assumptions are economically unwarranted; ineffective because the mathematical formalizations imply non-constructive and uncomputable structures. A reasonable and effective mathematization of economics entails Diophantine formalisms. These come with natural undecidabilities and uncomputabilites. In the face of this, I conjecture that an economics for the future will be freer to explore experimental methodologies underpinned by alternative mathematical structures. The whole discussion is framed within the context of the celebrated Wignerian theme: The Unreasonable Effectiveness of Mathematics in the Natural Sciences.

数学经济学不可计算性丢番图形式主义实验经济学