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We study a rational expectation model of bubbles and crashes. The model has two components : (1) our key assumption is that a crash may be caused by local self-reinforcing imitation between noise traders. If the tendency for noise traders…

凝聚态物理 · 物理学 2007-05-23 Anders Johansen , Olivier Ledoit , Didier Sornette

We present a simple agent-based model to study the development of a bubble and the consequential crash and investigate how their proximate triggering factor might relate to their fundamental mechanism, and vice versa. Our agents invest…

交易与市场微观结构 · 定量金融 2010-11-12 Georges Harras , Didier Sornette

We propose a straightforward extension of our previously proposed log-periodic power law model of the ``anti-bubble'' regime of the USA market since the summer of 2000, in terms of the renormalization group framework to model critical…

物理与社会 · 物理学 2008-12-02 W. -X. Zhou , D. Sornette

We tested 45 indices and common stocks traded in the South African stock market for the possible existence of a bubble over the period from Jan. 2003 to May 2006. A bubble is defined by a faster-than-exponential acceleration with…

物理与社会 · 物理学 2009-01-09 Wei-Xing Zhou , Didier Sornette

This review is a partial synthesis of the book ``Why stock market crash'' (Princeton University Press, January 2003), which presents a general theory of financial crashes and of stock market instabilities that his co-workers and the author…

统计力学 · 物理学 2009-11-10 D. Sornette

We propose a reduced form set of two coupled continuous time equations linking the price of a representative asset and the price of a bond, the later quantifying the cost of borrowing. The feedbacks between asset prices and bonds are…

综合金融 · 定量金融 2015-07-21 V. I. Yukalov , E. P. Yukalova , D. Sornette

We present a general methodology to incorporate fundamental economic factors to our previous theory of herding to describe bubbles and antibubbles. We start from the strong form of Rational Expectation and derive the general method to…

物理与社会 · 物理学 2008-12-10 Wei-Xing Zhou , Didier Sornette

Episodes of market crashes have fascinated economists for centuries. Although many academics, practitioners and policy makers have studied questions related to collapsing asset price bubbles, there is little consensus yet about their causes…

风险管理 · 定量金融 2008-12-15 T. Kaizoji , D. Sornette

In complex systems like financial market, risk tolerance of individuals is crucial for system resilience.The single-security price limit, designed as risk tolerance to protect investors by avoiding sharp price fluctuation, is blamed for…

综合金融 · 定量金融 2019-08-21 Shan Lu , Jichang Zhao , Huiwen Wang

A dynamical model is introduced for the formation of a bullish or bearish trends driving an asset price in a given market. Initially, each agent decides to buy or sell according to its personal opinion, which results from the combination of…

物理与社会 · 物理学 2011-06-09 Serge Galam

We present a dynamical theory of asset price bubbles that exhibits the appearance of bubbles and their subsequent crashes. We show that when speculative trends dominate over fundamental beliefs, bubbles form, leading to the growth of asset…

adap-org · 物理学 2008-02-03 Michael Youssefmir , Bernardo Huberman , Tad Hogg

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

统计金融 · 定量金融 2010-07-08 Zhi-Qiang Jiang , Wei-Xing Zhou , Didier Sornette , Ryan Woodard , Ken Bastiaensen , Peter Cauwels

Keeping a basic tenet of economic theory, rational expectations, we model the nonlinear positive feedback between agents in the stock market as an interplay between nonlinearity and multiplicative noise. The derived hyperbolic stochastic…

统计力学 · 物理学 2009-11-07 D. Sornette , J. V. Andersen

We define a financial bubble as a period of unsustainable growth, when the price of an asset increases ever more quickly, in a series of accelerating phases of corrections and rebounds. More technically, during a bubble phase, the price…

风险管理 · 定量金融 2014-04-09 Didier Sornette , Peter Cauwels

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

综合金融 · 定量金融 2010-02-07 Wanfeng Yan , Ryan Woodard , Didier Sornette

This paper proposes a simple and parsimonious discrete-time simulation model to describe the endogenous formation and periodic collapse of financial bubbles. While existing literature has extensively explored the statistical properties of…

交易与市场微观结构 · 定量金融 2026-05-05 Naohiro Yoshida

We argue that the word ``critical'' in the title is not purely literary. Based on our and other previous work on nonlinear complex dynamical systems, we summarize present evidence, on the Oct. 1929, Oct. 1987, Oct. 1987 Hong-Kong, Aug. 1998…

统计力学 · 物理学 2008-12-02 Anders Johansen , Didier Sornette

Since August 2000, the stock market in the USA as well as most other western markets have depreciated almost in synchrony according to complex patterns of drops and local rebounds. In \cite{SZ02QF}, we have proposed to describe this…

统计力学 · 物理学 2008-12-02 W. -X. Zhou , D. Sornette

We present a synthesis of all the available empirical evidence in the light of recent theoretical developments for the existence of characteristic log-periodic signatures of growing bubbles in a variety of markets including 8 unrelated…

凝聚态物理 · 物理学 2007-05-23 Anders Johansen , Didier Sornette , Olivier Ledoit

We propose that large stock market crashes are analogous to critical points studied in statistical physics with log-periodic correction to scaling. We extend our previous renormalization group model of stock market prices prior to and after…

凝聚态物理 · 物理学 2015-06-25 Didier Sornette , Anders Johansen
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