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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

This work presents an asset pricing model that under rational expectation equilibrium perspective shows how, depending on risk aversion and noise volatility, a risky-asset has one equilibrium price that differs in term of efficiency: an…

综合金融 · 定量金融 2014-09-18 Matteo Formenti

This paper develops a dynamic equilibrium model where agents exhibit a strong form of belief heterogeneity: they disagree about zero probability events. It is shown that, somewhat surprisingly, equilibrium exists in this setting, and that…

综合金融 · 定量金融 2013-06-24 Martin Larsson

The modelling of financial markets presents a problem which is both theoretically challenging and practically important. The theoretical aspects concern the issue of market efficiency which may even have political implications…

统计力学 · 物理学 2016-08-31 Kirill N. Ilinski , Alexander S. Stepanenko

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

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

We analyze a controlled price formation experiment in the laboratory that shows evidence for bubbles. We calibrate two models that demonstrate with high statistical significance that these laboratory bubbles have a tendency to grow faster…

交易与市场微观结构 · 定量金融 2012-05-04 Andreas Hüsler , Didier Sornette , Cars H. Hommes

We consider a stochastic game between a slow institutional investor and a high-frequency trader who are trading a risky asset and their aggregated order-flow impacts the asset price. We model this system by means of two coupled stochastic…

交易与市场微观结构 · 定量金融 2023-06-26 Rama Cont , Alessandro Micheli , Eyal Neuman

We propose two rational expectation models of transient financial bubbles with heterogeneous arbitrageurs and positive feedbacks leading to self-reinforcing transient stochastic faster-than-exponential price dynamics. As a result of the…

综合金融 · 定量金融 2009-11-11 Li Lin , Didier Sornette

Using a recently introduced rational expectation model of bubbles, based on the interplay between stochasticity and positive feedbacks of prices on returns and volatility, we develop a new methodology to test how this model classifies 9…

统计力学 · 物理学 2009-11-10 J. V. Andersen , D Sornette

A rational bubble is a situation in which the asset price exceeds its fundamental value defined by the present discounted value of dividends in a rational equilibrium model. We discuss the recent development of the theory of rational…

理论经济学 · 经济学 2025-09-03 Tomohiro Hirano , Alexis Akira Toda

We present a macro-finance model with innovation and knowledge spillover. Skilled agents engage in R&D activities (establish firms) or work in the knowledge-intensive sector. Unskilled agents work in the traditional sector. Knowledge…

理论经济学 · 经济学 2025-08-19 Tomohiro Hirano , Keiichi Kishi , Alexis Akira Toda

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

交易与市场微观结构 · 定量金融 2018-09-26 Misha Perepelitsa

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

交易与市场微观结构 · 定量金融 2024-09-06 Francesco Cordoni

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 present a novel microscopic stock market model consisting of a large number of random agents modeling traders in a market. Each agent is characterized by a set of parameters that serve to make iterated predictions of two successive…

适应与自组织系统 · 物理学 2009-11-07 R. Rothenstein , K. Pawelzik

We show that infinite divisibility of a trading commodity leads to a self-sustained price bubble when traders use adaptive investment strategies. The adaptive strategy can be viewed as a psychological response of a trader to the situation…

交易与市场微观结构 · 定量金融 2021-01-01 Misha Perepelitsa , Ilya Timofeyev

We are looking for the agent-based treatment of the financial markets considering necessity to build bridges between microscopic, agent based, and macroscopic, phenomenological modeling. The acknowledgment that agent-based modeling…

统计金融 · 定量金融 2019-01-01 V. Gontis , A. Kononovicius

The aim of this paper is to propose a heterogeneous agent model of stock markets that develop complicated endogenous price fluctuations. We find occurrences of non-stationary chaos, or speculative bubble, are caused by the heterogeneity of…

混沌动力学 · 物理学 2013-09-11 Taisei Kaizoji

We study asset price bubbles in market models with proportional transaction costs $\lambda\in (0,1)$ and finite time horizon $T$ in the setting of [49]. By following [28], we define the fundamental value $F$ of a risky asset $S$ as the…

数理金融 · 定量金融 2020-12-09 Francesca Biagini , Thomas Reitsam
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