Quantum diffusion of prices and profits
- 作者：Piotrowski ; Edward W. ; Sladkowski ; Jan
- 关键词：02.50. Formula Not Shown r ; 02.50.Le ; 03.67. Formula Not Shown a ; 03.65.Bz ; Quantum games ; Bachelier model ; Ornstein&ndash ; Uhlenbeck process ; Econophysics
- 刊名：Physica A ; Statistical Mechanics and its Applications
- 出版年：2005
- 期刊代码：138_03784371
- 类别：et
- 出版时间：January 1, 2005
- 卷：345
- 期：1-2
- 页码：185-195
- 文件大小：241 K
摘要
We discuss the time evolution of quotations of stocks and commodities and show that corrections to the orthodox Bachelier model inspired by quantum mechanical time evolution of particles may be important. Our analysis shows that traders tactics can interfere as waves do and trader's strategies can be reproduced from the corresponding Wigner functions. The proposed interpretation of the chaotic movement of market prices imply that the Bachelier behaviour follows from short-time interference of tactics adopted (paths followed) by the rest of the world considered as a single trader and the Ornstein–Uhlenbeck corrections to the Bachelier model should qualitatively matter only for large time scales. The famous smithonian invisible hand is interpreted as a short-time tactics of whole the market considered as a single opponent. We also propose a solution to the currency preference paradox.