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An employer contracts with a worker to incentivize efforts whose productivity depends on ability; the worker then enters a market that pays him contingent on ability evaluation. With non-additive monitoring technology, the interdependence…

Theoretical Economics · Economics 2025-07-31 Tan Gan , Hongcheng Li

We review some recent developments which make use of the concept of `superstatistics', an effective description for nonequilibrium systems with a varying intensive parameter such as the inverse temperature. We describe how the asymptotic…

Statistical Mechanics · Physics 2017-08-23 Christian Beck

We derive a systematic, multiple time-scale perturbation expansion for the work distribution in isothermal quasi-static Langevin processes. To first order we find a Gaussian distribution reproducing the result of Speck and Seifert [Phys.…

Statistical Mechanics · Physics 2015-06-15 Johannes Hoppenau , Andreas Engel

Fundamental inconsistencies of superstatistics are highlighted. There is no such thing as a superposition of Boltzmann factors; what is actually derived is a generating function and not a normalizable probability density. The beta density…

Statistical Mechanics · Physics 2007-05-23 B. H. Lavenda

The emergence of labor division in multi-agent system is analyzed by the method of statistical physics. Considering a system consists of N homogeneous agents. Their behaviors are determined by the returns from their production. Using the…

Statistical Mechanics · Physics 2009-11-07 Jinshan Wu , Zengru Di , Z. R. Yang

We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma

We show that an economic system populated by multiple agents generates an equilibrium distribution in the form of multiple scaling laws of conditional PDFs, which are sufficient for characterizing the probability distribution. The existence…

General Finance · Quantitative Finance 2010-03-12 Hideaki Aoyama , Yoshi Fujiwara , Mauro Gallegati

The distribution of gross earnings of movies released each year show a distribution having a power-law tail with Pareto exponent $\alpha \simeq 2$. While this offers interesting parallels with income distributions of individuals, it is also…

Physics and Society · Physics 2012-01-11 Sitabhra Sinha , Raj Kumar Pan

Understanding the microeconomic details of technological catch-up processes offers great potential for informing both innovation economics and development policy. We study the economic transition of the PR China from an agrarian country to…

General Economics · Economics 2021-01-01 Torsten Heinrich , Jangho Yang , Shuanping Dai

A dynamic model of the social relations between workers and capitalists is introduced. The model is deduced from the assumption that the law of value is an organising principle of modern economies. The model self-organises into a dynamic…

Condensed Matter · Physics 2011-03-24 Ian Wright

We propose a simple statistical-physics-inspired model for the effect of intrinsic fluctuations on supply and demand in markets. The model consists of agents that trade in two types of goods of which the total number is separately…

Physics and Society · Physics 2021-01-13 J. R. Mulder , René van Roij , R. A. Duine

Superstatistics is a framework in nonequilibrium statistical mechanics that successfully describes a wide variety of complex systems, including hydrodynamic turbulence, weakly-collisional plasmas, cosmic rays, power grid fluctuations, among…

Statistical Mechanics · Physics 2020-01-29 Sergio Davis

We derive the statistics of the efficiency under the assumption that thermodynamic fluxes fluctuate with normal law, parametrizing it in terms of time, macroscopic efficiency, and a coupling parameter $\zeta$. It has a peculiar behavior: No…

Statistical Mechanics · Physics 2015-02-19 Matteo Polettini , Gatien Verley , Massimiliano Esposito

It is well-known that value added per worker is extremely heterogeneous among firms, but relatively little has been done to characterize this heterogeneity more precisely. Here we show that the distribution of value-added per worker…

A new family of inflationary models is introduced and analysed. The behaviour of the parameters characterising the models suggest preferred values, which generate the most interesting testable predictions. Results are further improved if…

High Energy Physics - Phenomenology · Physics 2016-09-20 Konstantinos Dimopoulos , Charlotte Owen

In order to study the phenomenon in detail that income distribution follows Pareto law, we analyze the database of high income companies in Japan. We find a quantitative relation between the average capital of the companies and the Pareto…

Other Condensed Matter · Physics 2009-11-10 Atushi Ishikawa

We report a general technique to study a given experimental time series with superstatistics. Crucial for the applicability of the superstatistics concept is the existence of a parameter $\beta$ that fluctuates on a large time scale as…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Erik Van der Straeten , Christian Beck

Sornette et al. claimed that the optimal supply does not agree with the average demand, by analyzing a bakery model where a daily demand fluctuates with a uniform distribution. In this note, we extend the model to general probability…

Physics and Society · Physics 2008-12-02 Nobuyuki Sakai , Hisanori Kudoh

Traditionally, it is understood that fluctuations in the equilibrium distribution are not evident in thermodynamic systems of large $N$ (the number of particles in the system) \cite{Huang1}. In this paper we examine the validity of this…

Mathematical Physics · Physics 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

We build a statistical ensemble representation of two economic models describing respectively, in simplified terms, a payment system and a credit market. To this purpose we adopt the Boltzmann-Gibbs distribution where the role of the…

General Finance · Quantitative Finance 2012-07-06 Stefano Viaggiu , Andrea Lionetto , Leonardo Bargigli , Michele Longo
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