Mathematical Analogies: An Engine for Understanding the Transfers between Economics and Physics

Franck Jovanovic, P. Le Gall
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引用次数: 5

Abstract

Abstract The influence of physics on economics has been largely analysed; the opposite influence also exists even if it has been less studied. In the last decades the relation between these two disciplines has increased. Economic models are more often used in physics (minority game, GARCH model, etc.). The aim of this paper is to explore the role of mathematical analogies in the evolution of the relation between physics and economics. We show how these analogies have contributed to make the disciplinary boundaries of economics and physics more permeable. We investigate three examples: Frisch’s PPIP model (1933); the use of the Ising model for creating econophysics in the 1990s; and the minority game, created by econophysicists in 1997 for solving an economic problem and nowadays used in physics.
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数学类比:理解经济学和物理学之间转换的引擎
摘要主要分析了物理学对经济学的影响;相反的影响也存在,即使研究较少。在过去的几十年里,这两个学科之间的关系有所增加。经济模型更常用于物理领域(游戏邦注:如少数群体游戏、GARCH模型等)。本文的目的是探讨数学类比在物理学和经济学关系演变中的作用。我们展示了这些类比如何有助于使经济学和物理学的学科界限更具渗透性。我们研究了三个例子:弗里施的PPIP模型(1933);20世纪90年代使用伊辛模型创建经济物理学;1997年,经济物理学家为了解决一个经济问题而创造了少数博弈,如今被用于物理学。
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