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Related papers: Rational Bubbles Attached to Real Assets

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This expository paper is concerned with the rationality problems for three-dimensional algebraic varieties with a conic bundle structure. We discuss the main methods of this theory. We sketch the proofs of certain principal results, and…

Algebraic Geometry · Mathematics 2018-09-26 Yuri Prokhorov

A natural notion of rationality/consistency for aggregating models is that, for all (possibly aggregated) models $A$ and $B$, if the output of model $A$ is $f(A)$ and if the output model $B$ is $f(B)$, then the output of the model obtained…

Theoretical Economics · Economics 2021-12-13 Hamed Hamze Bajgiran , Houman Owhadi

This paper proposes methods to investigate whether the bubble patterns observed in individual series are common to various series. We detect the non-linear dynamics using the recent mixed causal and noncausal models. Both a likelihood ratio…

Econometrics · Economics 2022-07-26 Gianluca Cubadda , Alain Hecq , Elisa Voisin

Proving the existence of speculative financial bubbles even a posteriori has proven exceedingly difficult so anticipating a speculative bubble ex ante would at first seem an impossible task. Still as illustrated by the recent turmoil in…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Magda Roszczynska , Andrzej Nowak , Daniel Kamieniarz , Sorin Solomon , Jorgen Vitting Andersen

When a bubble of air rises to the top of a highly viscous liquid, it forms a dome-shaped protuberance on the free surface. Unlike a soap bubble, it bursts so slowly as to collapse under its own weight simultaneously, and folds into a…

Soft Condensed Matter · Physics 2015-06-24 Rava da Silveira , Sahraoui Chaieb , L. Mahadevan

Economic and financial time series can feature locally explosive behavior when a bubble is formed. The economic or financial bubble, especially its dynamics, is an intriguing topic that has been attracting longstanding attention. To…

Statistics Theory · Mathematics 2025-01-29 Xuanling Yang , Dong Li , Ting Zhang

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…

Trading and Market Microstructure · Quantitative Finance 2018-09-26 Misha Perepelitsa

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

Mathematical Finance · Quantitative Finance 2016-09-12 Gianluca Cassese

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

Astrophysics · Physics 2009-10-28 Luca Amendola , Carlo Baccigalupi , Franco Occhionero

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…

Statistical Mechanics · Physics 2009-11-07 D. Sornette , J. V. Andersen

In retrospect, the experimental findings on competitive market behavior called for a revival of the old, classical, view of competition as a collective higgling and bargaining process (as opposed to price-taking behaviors) founded on…

General Finance · Quantitative Finance 2023-07-04 Sabiou Inoua , Vernon Smith

A bubble is characterized by the presence of an underlying asset whose discounted price process is a strict local martingale under the pricing measure. In such markets, many standard results from option pricing theory do not hold, and in…

Probability · Mathematics 2009-09-01 Erik Ekström , Johan Tysk

We consider a constructive model for asset price bubbles, where the market price $W$ is endogenously determined by the trading activity on the market and the fundamental price $W^F$ is exogenously given, as in the work of Jarrow, Protter…

Mathematical Finance · Quantitative Finance 2016-11-28 Francesca Biagini , Andrea Mazzon , Thilo Meyer-Brandis

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 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…

Trading and Market Microstructure · Quantitative Finance 2012-05-04 Andreas Hüsler , Didier Sornette , Cars H. Hommes

The moduli space of parabolic bundles with fixed determinant over a smooth curve of genus greater than one is proved to be rational whenever one of the multiplicities associated to the quasi-parabolic structure is equal to one. It follows…

alg-geom · Mathematics 2021-09-29 H. U. Boden , K. Yokogawa

In this paper we further extend the optimal bubble riding model proposed by Tangpi and Wang by allowing for price-dependent entry times. Agents are characterized by their individual entry threshold that represents their belief in the…

Mathematical Finance · Quantitative Finance 2025-11-04 Ludovic Tangpi , Shichun Wang

We show that a simple model of a spatially resolved evolving economic system, which has a steady state under simultaneous updating, shows stable oscillations in price when updated asynchronously. The oscillations arise from a gradual…

General Finance · Quantitative Finance 2009-10-02 Lawrence Mitchell , G. J. Ackland

We present a general equilibrium macro-finance model with a positive feedback loop between capital investment and land price. As leverage is relaxed beyond a critical value, through the financial accelerator, a phase transition occurs from…

Theoretical Economics · Economics 2024-02-15 Tomohiro Hirano , Ryo Jinnai , Alexis Akira Toda

We highlight a very simple statistical tool for the analysis of financial bubbles, which has already been studied in [1]. We provide extensive empirical tests of this statistical tool and investigate analytically its link with stocks…

Statistical Finance · Quantitative Finance 2009-09-17 Frederic Abergel , Nicolas Huth , Ioane Muni Toke