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We study size and growth distributions of products and business firms in the context of a given industry. Firm size growth is analyzed in terms of two basic mechanisms, i.e. the increase of the number of new elementary business units and…

Condensed Matter · Physics 2009-11-10 G. De Fabritiis , F. Pammolli , M. Riccaboni

We revisit granular models that represent the size of a firm as the sum of the sizes of multiple constituents or sub-units. Originally developed to address the unexpectedly slow reduction in volatility as firm size increases, these models…

General Economics · Economics 2024-06-04 José Moran , Angelo Secchi , Jean-Philippe Bouchaud

This work analyzes data on all public US firms in the 50 year period 1970-2019, and presents 18 stylized facts of their scale, income, growth, return, investment, and dynamism. Special attention is given to (i) identifying distributional…

General Finance · Quantitative Finance 2023-02-07 Robert Parham

We first estimate the average growth of a company's annual income and its variance by using both real company data and a numerical model which we already introduced a couple of years ago. Investment strategies expecting for income growth is…

Statistical Mechanics · Physics 2008-12-10 Takayuki Mizuno , Shoko Kurihara , Misako Takayasu , Hideki Takayasu

A common assumption of political economy is that profit rates across firms or sectors tend to uniformity, and often models are formulated in which this tendency is assumed to have been realised. But in reality this tendency is never…

Other Condensed Matter · Physics 2011-03-24 Ian Wright

We address the question of the growth of firm size. To this end, we analyze the Compustat data base comprising all publicly-traded United States manufacturing firms within the years 1974-1993. We find that the distribution of firm sizes…

A model is presented of the market dynamics to emphasis the effects of increasing returns to scale, including the description of the born and death of the adaptive producers. The evolution of market structure and its behavior with the…

Statistical Mechanics · Physics 2008-12-02 Ying Fan , Menghui Li , Zengru Di

The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explicitly Gibrat's law of proportionate effects as the result of…

General Finance · Quantitative Finance 2015-06-11 Joachim Kaldasch

We study the growth dynamics of the size of manufacturing firms considering competition and normal distribution of competency. We start with the fact that all components of the system struggle with each other for growth as happened in real…

Statistical Mechanics · Physics 2009-11-07 Hari M. Gupta , Jose R. Campanha

This paper examines whether there is a premium in country size. We study whether there are significant gains from being a small or a large country in terms of certain socioeconomic indicators and how large this premium is. Using panel data…

General Economics · Economics 2024-01-11 Jože P. Damijan , Sandra Damijan , Osiris Jorge Parcero

We study investment strategy in different models of financial markets, where the investors cannot reach a perfect knowledge about available assets. The investor spends a certain effort to get information; this allows him to better choose…

Disordered Systems and Neural Networks · Physics 2008-12-02 Andrea Capocci , Yi-Cheng Zhang

Publicly traded companies are fundamental units of contemporary economies and markets and are important mechanisms through which humans interact with their environments. Understanding the general properties that underlie the processes of…

Physics and Society · Physics 2022-07-07 Jiang Zhang , Christopher P. Kempes , Marcus J. Hamilton , Ruyi Tao , Geoffrey B. West

The relationship between the size and the variance of firm growth rates is known to follow an approximate power-law behavior $\sigma(S) \sim S^{-\beta(S)}$ where $S$ is the firm size and $\beta(S)\approx 0.2$ is an exponent weakly dependent…

Statistical Finance · Quantitative Finance 2009-11-13 Massimo Riccaboni , Fabio Pammolli , Sergey V. Buldyrev , Linda Ponta , H. Eugene Stanley

We introduce a model of proportional growth to explain the distribution of business firm growth rates. The model predicts that the distribution is exponential in the central part and depicts an asymptotic power-law behavior in the tails…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Dongfeng Fu , Fabio Pammolli , S. V. Buldyrev , Massimo Riccaboni , Kaushik Matia , Kazuko Yamasaki , H. E. Stanley

The optimal portfolio size for a venture capital (VC) fund is a topic often debated, but there is no consensus on the best strategy. This is because it is a function of many factors. It is not easy to find a general formula that can be…

Portfolio Management · Quantitative Finance 2023-03-21 Francesco Farina , Mike Arpaia , Harpal Khing , Jonas Vetterle

Social and biological collectives need to exchange information to persist and to function. This happens across internal networks, whose structure represents static channels through which information flows. Less studied is the quantity and…

Physics and Society · Physics 2023-12-19 Edward D. Lee , Alan P. Kwan , Rudolf Hanel , Anjali Bhatt , Frank Neffke

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

We introduce new mathematical methods to study the optimal portfolio size of investment portfolios over time, considering investors with varying skill levels. First, we explore the benefit of portfolio diversification on an annual basis for…

Portfolio Management · Quantitative Finance 2024-02-26 Nick James , Max Menzies

A growing body of research documents that the size and growth of an industry in a place depends on how much related activity is found there. This fact is commonly referred to as the "principle of relatedness". However, there is no consensus…

Physics and Society · Physics 2023-03-30 Yang Li , Frank Neffke

Understanding cities is central to addressing major global challenges from climate and health to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is…

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