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From a market of dreamers to economical shocks

Owhadi, Houman (2004) From a market of dreamers to economical shocks. Physica A, 343 . pp. 583-602. ISSN 0378-4371. https://resolver.caltech.edu/CaltechAUTHORS:20190109-105904110

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Abstract

Over the past years an intense work has been undertaken to understand the origin of the crashes and bubbles of financial markets. The explanations of these crashes have been grounded on the hypothesis of behavioral and social correlations between the agents in interacting particle models or on a feedback of the stock prices on trading behaviors in mean-field models (here bubbles and crashes are seen as collective hysteria). In this paper, we will introduce a market model as a particle system with no other interaction between the agents than the fact that to be able to sell, somebody must be willing to buy and no feedback of the price on their trading behavior. We will show that this model crashes in finite estimable time. Although the age of the market does not appear in the price dynamic the population of traders taken as a whole system is maturing towards collapse. The wealth distribution among the agents follows the second law of thermodynamics and with probability one an agent (or a minority of agents) will accumulate a large portion of the total wealth, at some point this disproportion in the wealth distribution becomes unbearable for the market leading to its collapse. We believe that the origin of the collapse in our model could be of some relevance in understanding long-term economic cycles such as the Kondratiev cycle.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.physa.2004.05.078DOIArticle
ORCID:
AuthorORCID
Owhadi, Houman0000-0002-5677-1600
Additional Information:© 2004 Elsevier B.V. Received 21 April 2004, Available online 22 June 2004. The author would like to thank Gérard Ben Arous for a stimulating discussion on the Kondratiev cycle.
Subject Keywords:Quantitative finance; Wealth distribution; Market crash
Classification Code:PACS: primary 74Q20; 60J60; secondary 35B27; 74Q10; 60F05; 31C05; 35B05
Record Number:CaltechAUTHORS:20190109-105904110
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190109-105904110
Official Citation:Houman Owhadi, From a market of dreamers to economical shocks, Physica A: Statistical Mechanics and its Applications, Volume 343, 2004, Pages 583-602, ISSN 0378-4371, https://doi.org/10.1016/j.physa.2004.05.078. (http://www.sciencedirect.com/science/article/pii/S0378437104007204)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92165
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Jan 2019 19:07
Last Modified:03 Oct 2019 20:41

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