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Recently, in order to explore the mechanism behind wealth or income distribution, several models have been proposed by applying principles of statistical mechanics. These models share some characteristics, such as consisting of a group of…

Physics and Society · Physics 2008-12-02 Yougui Wang , Ning Ding , Ning Xi

This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

General Finance · Quantitative Finance 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

The Brain Drain phenomenon is particularly heterogeneous and is characterized by peculiar specifications. It influences the economic fundamentals of both the country of origin and the host one in terms of human capital accumulation. Here,…

Physics and Society · Physics 2014-05-22 A. E. Biondo , A. Pluchino , A. Rapisarda

We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

In this paper we present detailed simulation results on the wealth distribution model with quenched saving propensities. Unlike other wealth distribution models where the saving propensities are either zero or constant, this model is not…

Physics and Society · Physics 2008-12-02 K. Bhattacharya , G. Mukherjee , S. S. Manna

This work presents an asset pricing model that under rational expectation equilibrium perspective shows how, depending on risk aversion and noise volatility, a risky-asset has one equilibrium price that differs in term of efficiency: an…

General Finance · Quantitative Finance 2014-09-18 Matteo Formenti

The LLS stock market model is a model of heterogeneous quasi-rational investors operating in a complex environment about which they have incomplete information. We review the main features of this model and several of its extensions. We…

Statistical Mechanics · Physics 2008-12-02 Sorin Solomon , Moshe Levy

When the probability of measuring a particular value of some quantity varies inversely as a power of that value, the quantity is said to follow a power law, also known variously as Zipf's law or the Pareto distribution. Power laws appear…

Statistical Mechanics · Physics 2019-09-23 M. E. J. Newman

We study optimal risk sharing among $n$ agents endowed with distortion risk measures. Our model includes market frictions that can either represent linear transaction costs or risk premia charged by a clearing house for the agents. Risk…

Optimization and Control · Mathematics 2012-05-07 M. Ludkovski , V. R. Young

We study risk sharing among agents with preferences modeled by heterogeneous distortion risk measures, who are not necessarily risk averse. Pareto optimality for agents using risk measures is often studied through the lens of…

Risk Management · Quantitative Finance 2026-03-11 Mario Ghossoub , Qinghua Ren , Ruodu Wang

The statistical mechanics approach to wealth distribution is based on the conservative kinetic multi-agent model for money exchange, where the local interaction rule between the agents is analogous to the elastic particle scattering…

General Finance · Quantitative Finance 2016-06-16 M. Andrecut

In general, underestimation of risk is something which should be avoided as far as possible. Especially in financial asset management, equity risk is typically characterized by the measure of portfolio variance, or indirectly by quantities…

Statistical Finance · Quantitative Finance 2017-07-31 Thomas Schürmann , Ingo Hoffmann

Most work in mechanism design assumes that buyers are risk neutral; some considers risk aversion arising due to a non-linear utility for money. Yet behavioral studies have established that real agents exhibit risk attitudes which cannot be…

Computer Science and Game Theory · Computer Science 2018-03-13 Shuchi Chawla , Kira Goldner , J. Benjamin Miller , Emmanouil Pountourakis

For the past two decades investors have observed long memory and highly correlated behavior of asset classes that does not fit into the framework of Modern Portfolio Theory. Custom correlation and standard deviation estimators consider…

Statistical Finance · Quantitative Finance 2017-04-18 Sergey Kamenshchikov , Ilia Drozdov

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Exponential distribution is ubiquitous in the framework of multi-agent systems. Usually, it appears as an equilibrium state in the asymptotic time evolution of statistical systems. It has been explained from very different perspectives. In…

Adaptation and Self-Organizing Systems · Physics 2011-03-10 Ricardo Lopez-Ruiz , Jose-Luis Lopez , Xavier Calbet

We study social behaviour of agents on capital markets when these are perturbed by small perturbations. We use the mean field method. Social behaviour of agents on capital markets is described: volatility of the market, aversion constant…

Physics and Society · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

We construct a model of wealth distribution, based on an interactive multiplicative stochastic process on static complex networks. Through numerical simulations we show that a decrease in the number of links discourages equality in wealth…

Statistical Mechanics · Physics 2007-05-23 Wataru Souma , Yoshi Fujiwara , Hideaki Aoyama

An empirical analysis, suggested by optimal Merton dynamics, reveals some unexpected features of asset volumes. These features are connected to traders' belief and risk aversion. This paper proposes a trading strategy model in the optimal…

Trading and Market Microstructure · Quantitative Finance 2026-05-27 Francesca Mariani , Maria Cristina Recchioni , Tai-Ho Wang , Roberto Giacalone
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