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A general framework is suggested to describe human decision making in a certain class of experiments performed in a trading laboratory. We are in particular interested in discerning between two different moods, or states of the investors,…

Trading and Market Microstructure · Quantitative Finance 2013-06-11 Maxence Soumare , Jørgen Vitting Andersen , Francis Bouchard , Alain Elkaim , Dominique Guégan , Justin Leroux , Michel Miniconi , Lars Stentoft

Asset price bubbles are situations where asset prices exceed the fundamental values defined by the present value of dividends. This paper presents a conceptually new perspective: the necessity of bubbles. We establish the Bubble Necessity…

Theoretical Economics · Economics 2024-08-12 Tomohiro Hirano , Alexis Akira Toda

Analyzing historical data of price indices we find an extraordinary growth phenomenon in several examples of hyper-inflation in which price changes are approximated nicely by double-exponential functions of time. In order to explain such…

Statistical Mechanics · Physics 2009-11-07 Takayuki Mizuno , Misako Takayasu , Hideki Takayasu

In introductory physics laboratory instruction, students often expect to confirm or demonstrate textbook physics concepts (Wilcox & Lewandowski, 2017; Hu & Zwickl, 2017; Hu & Zwickl, 2018). This expectation is largely undesirable: labs that…

Physics Education · Physics 2024-04-24 Ian Descamps , Sophia Jeon , N. G. Holmes , Rachel E. Scherr , David Hammer

We calculate analytically the bubble nucleation rate in a model of first order inflation which is able to produce large scale structure. The computation includes the first-order departure from the thin-wall limit, the explicit derivation of…

The starting point of this paper is the so-called Robust Positive Expectation (RPE) Theorem, a result which appears in literature in the context of Simultaneous Long-Short stock trading. This theorem states that using a combination of two…

Statistical Finance · Quantitative Finance 2018-03-14 Atul Deshpande , B. Ross Barmish

Consider a model of $N$ independent, increasing $\mathbb{N}_0$-valued processes, with random, independent waiting times between jumps. It is known that there is either an emergent `leader', in which a single process possesses the maximal…

Probability · Mathematics 2025-10-09 Johannes Bäumler , Tejas Iyer

We present a self-consistent model for explosive financial bubbles, which combines a mean-reverting volatility process and a stochastic conditional return which reflects nonlinear positive feedbacks and continuous updates of the investors'…

Risk Management · Quantitative Finance 2014-08-26 L. Lin , Ren R. E , D. Sornette

We study how experience with asset price bubbles changes the trading strategies of reinforcement learning (RL) traders and ask whether the change in trading strategies helps to prevent future bubbles. We train the RL traders in a…

Computational Engineering, Finance, and Science · Computer Science 2024-01-01 Haibei Zhu , Svitlana Vyetrenko , Serafin Grundl , David Byrd , Kshama Dwarakanath , Tucker Balch

We show that particle production during the expansion of bubbles of true vacuum in the sea of false vacuum is possible and calculate the resulting rate. As a result the nucleated bubbles cannot expand due to the transfer of false vacuum…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Mohazzab , M. M. Sheikh Jabbari , H. Salehi

We introduce the concept of "negative bubbles" as the mirror image of standard financial bubbles, in which positive feedback mechanisms may lead to transient accelerating price falls. To model these negative bubbles, we adapt the…

General Finance · Quantitative Finance 2015-03-13 Wanfeng Yan , Ryan Woodard , Didier Sornette

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…

Risk Management · Quantitative Finance 2014-04-09 Didier Sornette , Peter Cauwels

We propose a novel model, the Hyped Log-Periodic Power Law Model (HLPPL), to the problem of quantifying and detecting financial bubbles, an ever-fascinating one for academics and practitioners alike. Bubble labels are generated using a…

Computational Finance · Quantitative Finance 2025-10-14 Zheng Cao , Xingran Shao , Yuheng Yan , Helyette Geman

Eternal inflation is a seemingly generic consequence of theories that give rise to accelerated expansion of the universe and possess multiple vacuum states. Making predictions in an eternally inflating universe is notoriously difficult…

High Energy Physics - Theory · Physics 2013-05-30 Matthew C. Johnson , Jean-Luc Lehners

We endorse the idea, suggested in recent literature, that BitCoin prices are influenced by sentiment and confidence about the underlying technology; as a consequence, an excitement about the BitCoin system may propagate to BitCoin prices…

Mathematical Finance · Quantitative Finance 2019-09-23 Alessandra Cretarola , Gianna Figà-Talamanca

It is already understood that the increasing observational evidence for an open Universe can be reconciled with inflation if our horizon is contained inside one single huge bubble nucleated during the inflationary phase transition. In this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luca Amendola , Carlo Baccigalupi , Franco Occhionero

An academic scientist's professional success depends on publishing. Publishing norms emphasize novel, positive results. As such, disciplinary incentives encourage design, analysis, and reporting decisions that elicit positive results and…

Physics and Society · Physics 2012-05-29 Brian A. Nosek , Jeffrey R. Spies , Matt Motyl

We use experiments to study the evolution of bubble clusters in a swarm of freely rising, deformable bubbles. A new machine learning-aided algorithm allows us to identify and track bubbles in clusters and measure the cluster lifetimes. The…

Fluid Dynamics · Physics 2023-06-08 Tian Ma , Hendrik Hessenkemper , Dirk Luca , Andrew D. Bragg

In this paper we explain the wild fluctuations of financial prices from the intrinsic amplifying feedback of speculative supply and demand. Formally, we show that an asset return follows a multiplicative random growth with exogenous input,…

Statistical Finance · Quantitative Finance 2015-08-11 Sabiou Inoua

Many biological, psychological and economic experiments have been designed where an organism or individual must choose between two options that have the same expected reward but differ in the variance of reward received. In this way,…

Quantitative Methods · Quantitative Biology 2018-09-20 Jared M. Field , Michael B. Bonsall