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We study a dynamical Ising model of agents' opinions (buy or sell) with coupling coefficients reassessed continuously in time according to how past external news (magnetic field) have explained realized market returns. By combining herding,…

物理与社会 · 物理学 2008-12-02 Wei-Xing Zhou , Didier Sornette

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity1 traded in the market, at each instant of time, is considered to be an…

综合金融 · 定量金融 2012-12-03 Belal E. Baaquie

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

物理与社会 · 物理学 2008-12-02 Szabolcs Mike , J. Doyne Farmer

Since the 1960s, the question whether markets are efficient or not is controversially discussed. One reason for the difficulty to overcome the controversy is the lack of a universal, but also precise, quantitative definition of efficiency…

综合金融 · 定量金融 2018-12-10 Roland Rothenstein

The institution of money can be seen as a foundational social mechanism, enabling communities to quantify collectively regulate economic processes. Money can be said, indeed, to constitute the micro-macro link in economics. This paper…

物理与社会 · 物理学 2025-06-30 Eduardo Coltre Ferraciolli , Tanya V. Araújo

A financial market is a system resulting from the complex interaction between participants in a closed economy. We propose a minimal microscopic model of the financial market economy based on the real economy's symmetry constraint and…

物理与社会 · 物理学 2022-06-15 Liu Ziyin , Katsuya Ito , Kentaro Imajo , Kentaro Minami

A deterministic trading strategy by a representative investor on a single market asset, which generates complex and realistic returns with its first four moments similar to the empirical values of European stock indices, is used to simulate…

综合金融 · 定量金融 2016-09-08 Philip Maymin

We introduce a simple framework in which market participants update their prior about an efficient price with a model-based learning process. We show that exponential intensities for the arrival of aggressive orders arise naturally in this…

交易与市场微观结构 · 定量金融 2021-09-29 Joffrey Derchu

An agent-based model for financial markets has to incorporate two aspects: decision making and price formation. We introduce a simple decision model and consider its implications in two different pricing schemes. First, we study its…

交易与市场微观结构 · 定量金融 2015-06-19 Daniel C. Wagner , Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr , Dietrich E. Wolf

A simple spin model is studied, motivated by the dynamics of traders in a market where expectation bubbles and crashes occur. The dynamics is governed by interactions which are frustrated across different scales: While ferromagnetic…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt

Matching markets are of particular interest in computer science and economics literature as they are often used to model real-world phenomena where we aim to equitably distribute a limited amount of resources to multiple agents and…

计算机科学与博弈论 · 计算机科学 2021-10-01 Andrew Yang , Bruce Changlong Xu , Ivan Villa-Renteria

I prove that if markets are weak-form efficient, meaning current prices fully reflect all information available in past prices, then P = NP, meaning every computational problem whose solution can be verified in polynomial time can also be…

综合金融 · 定量金融 2010-05-14 Philip Maymin

A fundamental economic question is that of designing revenue-maximizing mechanisms in dynamic environments. This paper considers a simple yet compelling market model to tackle this question, where forward-looking buyers arrive at the market…

理论经济学 · 经济学 2024-10-16 Jose Correa , Andres Cristi , Laura Vargas Koch

The efficient market hypothesis (EMH) famously stated that prices fully reflect the information available to traders. This critically depends on the transfer of information into prices through trading strategies. Traders optimise their…

数理金融 · 定量金融 2025-01-14 Paolo Barucca , Flaviano Morone

We study the information dynamics between the largest Bitcoin exchange markets during the bubble in 2017-2018. By analysing high-frequency market-microstructure observables with different information theoretic measures for dynamical…

统计金融 · 定量金融 2022-05-04 Vaiva Vasiliauskaite , Fabrizio Lillo , Nino Antulov-Fantulin

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…

交易与市场微观结构 · 定量金融 2008-12-02 Magda Roszczynska , Andrzej Nowak , Daniel Kamieniarz , Sorin Solomon , Jorgen Vitting Andersen

We look at price formation in a retail setting, that is, companies set prices, and consumers either accept prices or go someplace else. In contrast to most other models in this context, we use a two-dimensional spatial structure for…

适应与自组织系统 · 物理学 2009-10-31 Kai Nagel , Martin Shubik , Maya Paczuski , Per Bak

Standard approaches to the theory of financial markets are based on equilibrium and efficiency. Here we develop an alternative based on concepts and methods developed by biologists, in which the wealth invested in a financial strategy is…

综合金融 · 定量金融 2022-10-12 Maarten P. Scholl , Anisoara Calinescu , J. Doyne Farmer

In the large financial market, which is described by a model with countably many traded assets, we formulate the problem of the expected utility maximization. Assuming that the preferences of an economic agent are modeled with a stochastic…

投资组合管理 · 定量金融 2014-10-21 Oleksii Mostovyi

We provide simple models for the utility function (or psychology) of an actor trading a multitude of goods for money. In this framework, money has no intrinsic consumption value, but is required as a medium of exchange. A collection of such…

物理与社会 · 物理学 2026-05-25 Robert S. Farr