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Whether in search of better trade opportunities or escaping wars, humans have always been on the move. For almost a century, mathematical models of human mobility have been instrumental in the quantification of commuting patterns and…

Income inequality and redistribution policies are modeled with a minimal, endogenous model of a simple foraging economy. Significant income inequalities emerge from the model for populations of equally capable individuals presented with…

Physics and Society · Physics 2024-11-21 John C. Stevenson

To gain insights into the problem of regional inequality, we proposed new regional asset exchange models based on existing kinetic income-exchange models in economic physics. We did this by setting the spatial exchange range and adding bias…

Physics and Society · Physics 2020-07-27 Takeshi Kato , Yasuyuki Kudo , Hiroyuki Mizuno , Yoshinori Hiroi

Given the rapid recent trend of urbanization, a better understanding of how urban infrastructure mediates socioeconomic interactions and economic systems is of vital importance. While the accessibility of location-enabled devices as well as…

Linear stochastic models and discretized kinetic theory are two complementary analytical techniques used for the investigation of complex systems of economic interactions. The former employ Langevin equations, with an emphasis on stock…

General Finance · Quantitative Finance 2017-02-10 M. L. Bertotti , A. K. Chattopadhyay , G. Modanese

The empirical literature on the relationship between income inequality and economic growth has produced highly heterogeneous and often conflicting results. This paper investigates the sources of this heterogeneity using a meta-analytic…

Econometrics · Economics 2026-02-23 Lisa Capretti , Lorenzo Tonni

Income and wealth allocation are foundational components of how economies operate. These are complex distributions, and it is hard to get a real sense for their dynamics using simplifications like average or median. One metric that…

General Economics · Economics 2023-04-21 Dave Costenaro

Using three rounds of NSS datasets, the present paper attempts to understand the relationship between income inequality and intergenerational income mobility (IGIM) by segregating generations into social and income classes. The originality…

General Economics · Economics 2021-07-28 Anuradha Singh

Redistribution of resources within a group as a method to reduce wealth inequality is a current area of debate. The evolutionary path to or away from wealth sharing is also a subject of active research. In order to investigate effects and…

Physics and Society · Physics 2023-05-30 John C. Stevenson

Social inequality is a topic of interest since ages, and has attracted researchers across disciplines to ponder over it origin, manifestation, characteristics, consequences, and finally, the question of how to cope with it. It is manifested…

Physics and Society · Physics 2015-09-30 Arnab Chatterjee , Asim Ghosh , Jun-ichi Inoue , Bikas K. Chakrabarti

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

Social mobility captures the extent to which socio-economic status of children, is independent of status of their respective parents. In order to measure social mobility, most widely used indicators of socio-economic status are income,…

General Economics · Economics 2020-05-15 Vinay Reddy Venumuddala

Socio-economic inequality is measured using various indices. The Gini ($g$) index, giving the overall inequality is the most commonly used, while the recently introduced Kolkata ($k$) index gives a measure of $1-k$ fraction of population…

General Finance · Quantitative Finance 2016-11-07 Arnab Chatterjee , Asim Ghosh , Bikas K Chakrabarti

Many existing fairness metrics measure group-wise demographic disparities in system behavior or model performance. Calculating these metrics requires access to demographic information, which, in industrial settings, is often unavailable. By…

Social and Information Networks · Computer Science 2024-09-13 Avijit Ghosh , Tomo Lazovich , Kristian Lum , Christo Wilson

Measures of economic mobility represent aggregate values for how individual wealth changes over time. As such, these measures may not describe the feasibility of a typical individual to change their wealth. To address this limitation, we…

General Economics · Economics 2024-07-23 Viktor Stojkoski

We report the numerical results for the steady state income or wealth distribution $P(m)$ and the resulting inequality measures (Gini $g$ and Kolkata $k$ indices) in the kinetic exchange models of market dynamics. We study the variations of…

Physics and Society · Physics 2022-08-08 Sanjukta Paul , Sudip Mukherjee , Bijin Joseph , Asim Ghosh , Bikas K. Chakrabarti

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

General Finance · Quantitative Finance 2015-05-27 Anindya S. Chakrabarti

Given the wealth inequality worldwide, there is an urgent need to identify the mode of wealth exchange through which it arises. To address the research gap regarding models that combine equivalent exchange and redistribution, this study…

Theoretical Economics · Economics 2023-01-26 Takeshi Kato

In this survey we report some recent results in the mathematical modeling of epidemic phenomena through the use of kinetic equations. We initially consider models of interaction between agents in which social characteristics play a key role…

Populations and Evolution · Quantitative Biology 2023-09-11 Giacomo Albi , Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

We discuss several multi-agent models that have their origin in the kinetic exchange theory of statistical mechanics and have been recently applied to a variety of problems in the social sciences. This class of models can be easily adapted…

Physics and Society · Physics 2013-06-18 Marco Patriarca , Anirban Chakraborti