数学经济学中“欺骗”主题的变奏

VARIATIONS ON THE THEME OFCONNINGaINMATHEMATICAL ECONOMICS

Journal of Economic Surveys · 2007
被引 13
人大 AABS 2

中文导读

指出经济学数学化几乎完全依赖基于集合论和正统逻辑的实分析,通过动力学、政策与理性预期及学习三个例子,以及基于确定性公理的无主观主义博弈论讨论,揭示其中充斥的经济不当之处,聚焦于标准不动点定理在正统数学经济学中的作用与依赖。

Abstract

Abstract The mathematization of economics is almost exclusively in terms of the mathematics of real analysis which, in turn, is founded on set theory (and the axiom of choice) and orthodox mathematical logic. In this paper I try to point out that this kind of mathematization is replete with economic infelicities. The attempt to extract these infelicities is in terms of three main examples and one general discussion: dynamics, policy and rational expectations and learning are the examples; a game theory without ‘subjectivism’, based on the axiom of determinateness, is discussed in general terms. The focus is on the role and reliance of standard fixed‐point theorems in orthodox mathematical economics.

数学化经济学实分析固定点定理博弈论