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A financial market comprising of a certain number of distinct companies is considered, and the following statement is proved: either a specific agent will surely beat the whole market unconditionally in the long run, or (and this "or" is…

General Finance · Quantitative Finance 2010-12-30 Constantinos Kardaras

Data from national accounts show no effect of change in net saving or consumption, in ratio to market-value capital, on change in growth rate of market-value capital (capital acceleration). Thus it appears that capital growth and…

General Economics · Economics 2026-03-31 Gordon Getty , Nikita Tkachenko

We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by…

General Finance · Quantitative Finance 2013-08-21 X. F. Jiang , T. T. Chen , B. Zheng

This article introduces a novel mean-field game model for multi-sector economic growth in which a dynamically evolving externality, influenced by the collective actions of agents, plays a central role. Building on classical growth theories…

Optimization and Control · Mathematics 2026-05-05 Pierre Lavigne , Quentin Petit , Xavier Warin

The purpose of this paper is to advance the understanding of the conditions that give rise to flash crash contagion, particularly with respect to overlapping asset portfolio crowding. To this end, we designed, implemented, and assessed a…

Trading and Market Microstructure · Quantitative Finance 2019-02-01 James Paulin , Anisoara Calinescu , Michael Wooldridge

It is known that the impact of transactions on stock price (market impact) is a concave function of the size of the order, but there exists little quantitative theory that suggests why this is so. I develop a quantitative theory for the…

Statistical Finance · Quantitative Finance 2008-12-02 Austin Gerig

Artificial stock market simulation based on agent is an important means to study financial market. Based on the assumption that the investors are composed of a main fund, small trend and contrarian investors characterized by four…

Trading and Market Microstructure · Quantitative Finance 2021-09-22 Yong Shi , Bo Li , Guangle Du

Equity premium, the surplus returns of stocks over bonds, has been an enduring puzzle. While numerous prior works approach the problem assuming the utility of money is invariant across contexts, our approach implies that in efficient…

General Economics · Economics 2024-01-18 B. N. Kausik

We introduce simplicial persistence, a measure of time evolution of network motifs in subsequent temporal layers. We observe long memory in the evolution of structures from correlation filtering, with a two regime power law decay in the…

Statistical Finance · Quantitative Finance 2020-09-21 Jeremy D. Turiel , Paolo Barucca , Tomaso Aste

Accuracy of economic theories and efficiency of economic policy strictly depend on the choice of the economic variables and processes mostly liable for description of economic reality. That states the general problem of assessment of any…

General Economics · Economics 2022-08-17 Victor Olkhov

Behavioral Finance has become a challenge to the scientific community. Based on the assumption that behavioral aspects of investors may explain some features of the Stock Market, we propose an agent based model to study quantitatively this…

General Finance · Quantitative Finance 2017-11-23 F. M. Stefan , A. P. F. Atman

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…

General Finance · Quantitative Finance 2018-12-10 Roland Rothenstein

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

Physics and Society · Physics 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

I demonstrate that with the market return determined by the equilibrium returns of the CAPM, expected returns of an asset are affected by the risks of all assets jointly. Another implication is that the range of feasible market returns will…

General Finance · Quantitative Finance 2021-05-24 Andreas Krause

We address the issue of the distribution of firm size. To this end we propose a model of firms in a closed, conserved economy populated with zero-intelligence agents who continuously move from one firm to another. We then analyze the size…

General Finance · Quantitative Finance 2011-12-12 Anindya S. Chakrabarti

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange…

Statistical Mechanics · Physics 2009-10-30 S. Ispolatov , P. L. Krapivsky , S. Redner

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

Portfolio Management · Quantitative Finance 2013-04-23 Vladimir Cherny , Jan Obloj

Simple agent based exchange models are a commonplace in the study of wealth distribution of artificial societies. Generally, each agent is characterized by its wealth and by a risk-aversion factor, and random exchanges between agents allow…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 G. M. Caon , S. Goncalves , J. R. Iglesias

Volatility, as a primary indicator of financial risk, forms the foundation of classical frameworks such as Markowitz's Portfolio Theory and the Efficient Market Hypothesis (EMH). However, its conventional use rests on assumptions-most…

General Finance · Quantitative Finance 2025-08-19 Sergio Bianchi , Daniele Angelini , Massimiliano Frezza , Augusto Pianese

We introduce a simple agent-based model which allows us to analyze three stylized facts: a fat-tailed size distribution of companies, a `tent-shaped' growth rate distribution, the scaling relation of the growth rate variance with firm size,…

General Finance · Quantitative Finance 2013-11-26 Cornelia Metzig , Mirta B. Gordon