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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

The problem of investing into a cryptocurrency market requires good understanding of the processes that regulate the price of the currency. In this paper we offer a view of a cryptocurrency market as an environment for realization of a…

Trading and Market Microstructure · Quantitative Finance 2022-10-18 Misha Perepelitsa

By investigating nonfungible tokens (NFTs), we provide the first systematic study of retail investor behavior through asset bubbles. Given that NFTs are recorded in public blockchains, we are able to track investor behavior over time,…

Pricing of Securities · Quantitative Finance 2023-03-13 Andrea Barbon , Angelo Ranaldo

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 · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman , Tad Hogg

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…

Trading and Market Microstructure · Quantitative Finance 2010-11-12 Georges Harras , Didier Sornette

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

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…

Risk Management · Quantitative Finance 2008-12-15 T. Kaizoji , D. Sornette

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…

Physics and Society · Physics 2011-06-09 Serge Galam

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

Statistical Finance · Quantitative Finance 2025-04-29 Grégory Bournassenko

What is the role of social interactions in the creation of price bubbles? Answering this question requires obtaining collective behavioural traces generated by the activity of a large number of actors. Digital currencies offer a unique…

Physics and Society · Physics 2014-08-11 David Garcia , Claudio Juan Tessone , Pavlin Mavrodiev , Nicolas Perony

Bitcoin represents one of the most interesting technological breakthroughs and socio-economic experiments of the last decades. In this paper, we examine the role of speculative bubbles in the process of Bitcoin's technological adoption by…

Computers and Society · Computer Science 2020-05-15 Tobias A. Huber , Didier Sornette

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

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

The functioning of the cryptocurrency Bitcoin relies on the open availability of the entire history of its transactions. This makes it a particularly interesting socio-economic system to analyse from the point of view of network science.…

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…

General Finance · Quantitative Finance 2013-06-24 Martin Larsson

This article provides a self-contained overview of the theory of rational asset price bubbles. We cover topics from basic definitions, properties, and classical results to frontier research, with an emphasis on bubbles attached to real…

General Economics · Economics 2024-02-05 Tomohiro Hirano , Alexis Akira Toda

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…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

We study how AI agents form expectations and trade in experimental asset markets. Using a simulated open-call auction populated by autonomous Large Language Model (LLM) agents, we document three main findings. First, AI agents exhibit…

General Economics · Economics 2026-04-21 Shumiao Ouyang , Pengfei Sui

We develop a strong diagnostic for bubbles and crashes in bitcoin, by analyzing the coincidence (and its absence) of fundamental and technical indicators. Using a generalized Metcalfe's law based on network properties, a fundamental value…

Econometrics · Economics 2018-03-16 Spencer Wheatley , Didier Sornette , Tobias Huber , Max Reppen , Robert N. Gantner

We present a detailed bubble analysis of the Bitcoin to US Dollar price dynamics from January 2012 to February 2018. We introduce a robust automatic peak detection method that classifies price time series into periods of uninterrupted…

Econometrics · Economics 2019-05-31 Jan-Christian Gerlach , Guilherme Demos , Didier Sornette
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