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This paper presents a physical perspective on the human migration phenomenon claiming that human social behaviors are somehow but not completely inspired by nature. Human displacement or migration in the world is highly affected by…

Physics and Society · Physics 2022-01-19 Mina Ghanbari , Ghader Rezazadeh

In a recent paper, we analyzed the self-assembly of a complex cooperation network. The network was shown to approach a state where every agent invests the same amount of resources. Nevertheless, highly-connected agents arise that extract…

Physics and Society · Physics 2012-03-07 Anne-Ly Do , Lars Rudolf , Thilo Gross

There are clear benefits associated with a particular consumer choice for many current markets. For example, as we consider here, some products might carry environmental or `green' benefits. Some consumers might value these benefits while…

General Finance · Quantitative Finance 2008-12-02 Gérard Weisbuch , Vincent Buskens , Luat Vuong

Fairness of machine learning algorithms has been of increasing interest. In order to suppress or eliminate discrimination in prediction, various notions as well as approaches have been proposed to impose fairness. Given a notion of…

Machine Learning · Computer Science 2022-02-25 Zeyu Tang , Kun Zhang

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In…

Statistical Mechanics · Physics 2009-11-10 J. R. Iglesias , S. Goncalves , G. Abramson , J. L. Vega

Standard approaches to the theory of financial markets are based on equilibrium and efficiency. Here we develop an alternative based on concepts and methods developed by biologists, in which the wealth invested in a financial strategy is…

General Finance · Quantitative Finance 2022-10-12 Maarten P. Scholl , Anisoara Calinescu , J. Doyne Farmer

The notion of \emph{envy-freeness} is a natural and intuitive fairness requirement in resource allocation. With indivisible goods, such fair allocations are unfortunately not guaranteed to exist. Classical works have avoided this issue by…

Computer Science and Game Theory · Computer Science 2021-05-06 Hiromichi Goko , Ayumi Igarashi , Yasushi Kawase , Kazuhisa Makino , Hanna Sumita , Akihisa Tamura , Yu Yokoi , Makoto Yokoo

The study of fairness in intelligent decision systems has mostly ignored long-term influence on the underlying population. Yet fairness considerations (e.g. affirmative action) have often the implicit goal of achieving balance among groups…

Machine Learning · Computer Science 2020-03-02 Hussein Mozannar , Mesrob I. Ohannessian , Nathan Srebro

We derive the most probable distribution of resources for a simple society. We find that a probabilistic analysis forbids both too much and too less equity, and selects instead a minimally ordered state. We give the detailed calculations…

Statistical Mechanics · Physics 2008-12-10 Daniel O. Badagnani

Binary kinetic exchange models, where money is shuffled between two agents at a time, reproduce the Boltzmann Gibbs exponential wealth distribution but cannot address the multi party trades common in real markets. We generalize the exchange…

Physics and Society · Physics 2026-05-28 Suchismita Banerjee

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

Algorithmic fairness has emerged as a central issue in ML, and it has become standard practice to adjust ML algorithms so that they will satisfy fairness requirements such as Equal Opportunity. In this paper we consider the effects of…

Machine Learning · Computer Science 2025-10-28 Ronen Gradwohl , Eilam Shapira , Moshe Tennenholtz

We propose a simple market model where agents trade different types of products with each other by using money, relying only on local information. Value fluctuations of single products, combined with the condition of maximum profit in…

Condensed Matter · Physics 2015-06-24 Raul Donangelo , Alex Hansen , Kim Sneppen , Sergio R. Souza

Professional networks -- the social networks among people in a given line of work -- can serve as a conduit for job prospects and other opportunities. Here we propose a model for the formation of such networks and the transfer of…

Computer Science and Game Theory · Computer Science 2024-06-28 Cynthia Dwork , Chris Hays , Jon Kleinberg , Manish Raghavan

Exponential distribution is ubiquitous in the framework of multi-agent systems. An alternative approach with an economic motivation to derive the exponential distribution in the framework of iterations in the space of distributions is…

General Finance · Quantitative Finance 2010-11-15 Ricardo Lopez-Ruiz

Pareto law, which states that wealth distribution in societies have a power-law tail, has been a subject of intensive investigations in statistical physics community. Several models have been employed to explain this behavior. However, most…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Ali Saif , Prashant M. Gade

We investigate activities that have different periods of duration. We define the profit intensity as a measure of this economic category. The profit intensity in a repeated trading has a unique property of attaining its maximum at a fixed…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Edward W. Piotrowski , Jan Sladkowski

With the growing adoption of machine learning (ML) systems in areas like law enforcement, criminal justice, finance, hiring, and admissions, it is increasingly critical to guarantee the fairness of decisions assisted by ML. In this paper,…

Machine Learning · Computer Science 2024-05-17 Meiyu Zhong , Ravi Tandon

In standard fair division models, we assume that all agents are selfish. However, in many scenarios, division of resources has a direct impact on the whole group or even society. Therefore, we study fair allocations of indivisible items…

Computer Science and Game Theory · Computer Science 2025-11-13 Argyris Deligkas , Eduard Eiben , Tiger-Lily Goldsmith , Dušan Knop , Šimon Schierreich

When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated optimal allocation. While several contributions in mechanism…

Computer Science and Game Theory · Computer Science 2024-03-08 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar