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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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48 results for Regional Wealth Inequalities

Analyzes regional wealth inequalities in Italy using various statistical methods.

problem Examining regional wealth disparities in Italy over 2007-2011.
method Used frequency-size plots, cumulative distribution function plots, scatter plots, rank-size plots, and transformed aggregated tax income data into Gini, Theil, and Herfindahl-Hirschman indices.
result Confirmed significant regional wealth differences in Italy, with Molise being a notable case.

Financial investment returns lead to growing wealth inequality.

problem Recent rise in wealth inequality in active financial markets.
method Minimalist modelling strategy combining financial markets, wealth accumulation, and compound interest.
result Accumulated financial investment returns cause ever-increasing wealth concentration and inequality.

Model shows wealth inequality in US cannot equilibrate, with reallocation rates becoming negative after 1980.

problem Assumption of equilibrium in wealth inequality studies is often invalid.
method Introduced a model combining geometric Brownian motion with reallocation, fitting reallocation rate to US wealth data.
result Reallocation rates became negative after 1980, indicating the system cannot equilibrate.

Model shows how economic interactions and regulation affect wealth inequality.

problem Understanding how interactions and regulation impact wealth inequality.
method Agent-based model with multiplicative stochastic fluctuations and interactions.
result System evolves towards a limiting stationary distribution with a Pareto tail under strong global regulation.

The inequality of wealth distribution is a universal phenomenon in the civilized nations, and it is often imputed to the Matthew effect, that is, the rich get richer and the poor get poorer. Some philosophers unjustified this phenomenon and tried to put the human civilization upon the evenness of wealth. Noticing the f…

2012-10-08abs ↗pdf ↗

Many models of market dynamics make use of the idea of wealth exchanges among economic agents. A simple analogy compares the wealth in a society with the energy in a physical system, and the trade between agents to the energy exchange between molecules during collisions. However, while in physical systems the equiparti…

2010-07-03abs ↗pdf ↗

The Generalized Beta Prime distribution explains wealth and income distributions.

problem Explaining wealth and income distributions using a stochastic model.
method Using housing sale prices as a proxy, we numerically and analytically explore the properties of the Generalized Beta Prime distribution and its inequality indices.
result The Generalized Beta Prime distribution is a successful model for wealth and income distributions, with Hoover and Theil L being more appropriate for distributions with fat tails.

The study applies wealth thermalization hypothesis to social networks and explains inequality.

problem Explains inequality in human society through wealth thermalization hypothesis.
method Uses Random Matrix Theory and social networks with nonlinear perturbation.
result Shows that wealth distribution follows Rayleigh-Jeans distribution, leading to inequality.

Agent-based model for wealth distribution with negative wealth.

problem Modeling wealth distribution with negative wealth and validating against empirical data.
method Agent-based model, Fokker-Planck equation, numerical solution, inverse problem solving.
result Agreement with empirical data of an average error less than 0.16% over 27 years.

Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all negative phenomena affecting society. So far, Econophysics papers tried to analyse in…

2014-10-17abs ↗pdf ↗

A simplified model shows how wealth distribution can be derived from random exchanges.

problem Understanding wealth inequality and its distribution over time.
method Stylized random exchange model, Markov chain, discrete and continuous stochastic processes, Boltzmann-type kinetic equations.
result Existence of equilibrium distribution in the stylized model.

Physicists study socio-economic inequalities using atom-like models.

problem Understanding the mechanisms behind socio-economic inequalities and invariant features.
method Empirical data analysis and simple physics models.
result Income, wealth, and consumption distributions exhibit log-normal and power law features.

We discuss the equivalence between kinetic wealth-exchange models, in which agents exchange wealth during trades, and mechanical models of particles, exchanging energy during collisions. The universality of the underlying dynamics is shown both through a variational approach based on the minimization of the Boltzmann e…

2008-02-29abs ↗pdf ↗

We investigate the wealth evolution in a system of agents that exchange wealth through a disordered network in presence of an additive stochastic Gaussian noise. We show that the resulting wealth distribution is shaped by the degree distribution of the underlying network and in particular we verify that scale free netw…

2003-10-23abs ↗pdf ↗

Study finds Pareto distribution for wealth and income of Norway's richest individuals.

problem Analyzing wealth and income distribution of Norway's richest individuals.
method Empirical data from Norwegian tax office, using Pareto law.
result Robust mean Pareto exponents for income and wealth are approximately 2.3 and 1.5 respectively.

New economic models tackle income and wealth distribution issues.

problem Inequalities in income and wealth distribution.
method Alternative approaches to mainstream economics, focusing on complex systems and the k-generalized family of distributions.
result The k-generalized family of distributions provides a new way to understand income and wealth distribution.

In this paper, we study the inequality indices for some models of wealth exchange. We calculated Gini index and newly introduced k-index and compare the results with reported empirical data available for different countries. We have found lower and upper bounds for the indices and discuss the efficiencies of the models…

2015-09-09abs ↗pdf ↗

The paper extends the isoperimetric inequality to disconnected regions.

problem Generalizing the isoperimetric inequality to regions that can split area.
method Analyzes the inequality in Euclidean, spherical, and hyperbolic geometries, providing conditions for multiple regions.
result Necessary and sufficient conditions for the inequality to hold for multiple regions in different geometries.

New models reduce regional inequality by adjusting exchange range and asset distribution bias.

problem Reduction of regional inequality in economic systems.
method Proposed new asset exchange models with spatial exchange range and local support bias to adjust asset distribution and circulation rates.
result Achieved asset distribution from over-concentration to exponential and eventually normal, reducing Gini coefficient.

Investigates consumption and investment strategies with preference for liquid assets.

problem Infinite horizon consumption-portfolio problem with liquid and illiquid risky assets.
method Analyzes properties of value function, categorizes solvency regions, and characterizes optimal policy.
result Liquidity preference leads to higher liquid wealth and lower consumption, potentially negative allocation to illiquid asset.

We propose some kinetic models of wealth exchange and investigate their behavior on directed networks though numerical simulations. We observe that network topology and directedness yields a variety of interesting features in these models. The nature of asset distribution in such directed networks show varied results, …

2009-01-19abs ↗pdf ↗

We study the model of interacting agents proposed by Chatterjee et al that allows agents to both save and exchange wealth. Closed equations for the wealth distribution are developed using a mean field approximation. We show that when all agents have the same fixed savings propensity, subject to certain well defined app…

2004-07-29abs ↗pdf ↗

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 and government imposes taxes on capital and labour incomes and equally redistrib…

2009-06-08abs ↗pdf ↗

A new model connects stochastic effects to economic inequality.

problem Understanding economic inequality through stochastic effects.
method Introducing stochastic effects into a kinetic model based on Langevin and Fokker-Planck formalisms.
result Positive correlations between Gini index and total wealth indicate growing inequality.

Study on optimal portfolio selection with varying borrowing and saving rates in continuous-time markets.

problem Optimal portfolio selection in markets with different borrowing and saving rates.
method Hamilton-Jacobi-Bellman equation, partial differential equation, verification argument.
result Existence and smoothness of the value function, identification of trading regions and strategies.

Study shows household inequality accounts for 30% of total global income inequality.

problem Intra-household inequality is often overlooked in studies of income inequality.
method Used LIS micro data to analyze inequality trends in 1973-2013 across multiple countries.
result At least 30% of total global income inequality is due to intra-household inequality.

We focus on the problem of how wealth is distributed among the units of a networked economic system. We first review the empirical results documenting that in many economies the wealth distribution is described by a combination of log--normal and power--law behaviours. We then focus on the Bouchaud--Mézard model of wea…

2007-11-29abs ↗pdf ↗

We introduce and discuss a nonlinear kinetic equation of Boltzmann type which describes the influence of knowledge in the evolution of wealth in a system of agents which interact through the binary trades introduced in Cordier, Pareschi, Toscani, J. Stat. Phys. 2005. The trades, which include both saving propensity and…

2014-01-18abs ↗pdf ↗

We analyze a conservative market model for the competition among economic agents in a close society. A minimum dynamics ensures that the poorest agent has a chance to improve its economic welfare. After a transient, the system self-organizes into a critical state where the wealth distribution have a minimum threshold, …

2003-11-05abs ↗pdf ↗

Many models of market dynamics make use of the idea of conservative wealth exchanges among economic agents. A few years ago an exchange model using extremal dynamics was developed and a very interesting result was obtained: a self-generated minimum wealth or poverty line. On the other hand, the wealth distribution exhi…

2012-12-05abs ↗pdf ↗

We introduce a minimal agent-based model to qualitatively conceptualize the allocation of limited wealth among more abundant opportunities. We study the interplay of power, satisfaction and frustration in distribution, concentration, and inequality of wealth. Our framework allows us to compare subjective measures of fr…

2015-10-02abs ↗pdf ↗

In a recent paper in this journal [J. Stat. Mech. (2009) P02037] we proposed a new, physically motivated, distribution function for modeling individual incomes having its roots in the framework of the k-generalized statistical mechanics. The performance of the k-generalized distribution was checked against real data on…

2012-09-21abs ↗pdf ↗

In this paper we extend the series of our studies on the properties of an interacting particle model for market microstructure. In our earlier work we defined a Markov process on the majority opinion of the agents, obtained the transition probabilities and analyzed the martingale properties of the ensuing wealth proces…

2006-05-16abs ↗pdf ↗

Spectral portfolio theory links neural networks to wealth dynamics via SGD weight matrices.

problem Understanding wealth dynamics from neural network training.
method Direct identification of weight matrices as portfolio allocation matrices, linking SGD forces to portfolio dynamics.
result Spectral properties of SGD weight matrices transition between additive and multiplicative regimes, influencing wealth dynamics.