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The rich-get-richer mechanism (agents increase their ``wealth'' randomly at a rate proportional to their holdings) is often invoked to explain the Pareto power-law distribution observed in many physical situations, such as the degree…

General Finance · Quantitative Finance 2008-12-02 James P. Bagrow , Jie Sun , Daniel ben-Avraham

A mathematical model of measurement of the perception of well-being for groups with increasing incomes, but proportionally unequal is proposed. Assuming that welfare grows with own income and decreases with relative inequality (income of…

General Economics · Economics 2019-11-27 Fernando Córdova-Lepe

We propose a stochastic model of evolution of wealth in a society of economic agents. In the model, an agent can be in two states: inactive and active. Transitions between the states occur at random time intervals. In the active state, the…

Physics and Society · Physics 2007-05-23 Indrani Bose , Subhasis Banerjee

Recent studies on fairness in automated decision making systems have both investigated the potential future impact of these decisions on the population at large, and emphasized that imposing ''typical'' fairness constraints such as…

Machine Learning · Computer Science 2019-11-19 Joshua Williams , J. Zico Kolter

Faculty at prestigious institutions dominate scientific discourse, with the small proportion of researchers at elite universities producing a disproportionate share of all research publications. Environmental prestige is known to drive such…

Digital Libraries · Computer Science 2022-04-13 Sam Zhang , K. Hunter Wapman , Daniel B. Larremore , Aaron Clauset

Humanity has been fascinated by the pursuit of fortune since time immemorial, and many successful outcomes benefit from strokes of luck. But success is subject to complexity, uncertainty, and change - and at times becoming increasingly…

General Economics · Economics 2019-04-19 Didier Sornette , Spencer Wheatley , Peter Cauwels

Prevailing career and education systems continue to reward early specialization and deep expertise within narrow domains. While such depth promotes efficiency, it may also limit adaptability in complex and rapidly changing environments.…

General Finance · Quantitative Finance 2025-11-11 T. Alexander Puutio

We stress-test the career predictability model proposed by Acuna et al. [Nature 489, 201-202 2012] by applying their model to a longitudinal career data set of 100 Assistant professors in physics, two from each of the top 50 physics…

Physics and Society · Physics 2013-04-03 Orion Penner , Raj K. Pan , Alexander M. Petersen , Santo Fortunato

Modelling growth in student achievement is a significant challenge in the field of education. Understanding how interventions or experiences such as part-time work can influence this growth is also important. Traditional methods like…

Machine Learning · Statistics 2024-07-17 Nathan McJames , Ann O'Shea , Andrew Parnell

Systems with simultaneous cooperation and competition among the elements are ubiquitous. In spite of their practical importance, knowledge on the evolution mechanism of this class of complex system is still very limit. In this work, by…

Physics and Society · Physics 2015-05-20 Xiu-Lian Xu , Chun-Hua Fu , Hui Chang , Da-Ren He

We study empirically how the fame of WWI fighter-pilot aces, measured in numbers of web pages mentioning them, is related to their achievement, measured in numbers of opponent aircraft destroyed. We find that on the average fame grows…

Physics and Society · Physics 2013-04-02 M. V. Simkin , V. P. Roychowdhury

The expectation that scientific productivity follows regular patterns over a career underpins many scholarly evaluations. However, recent studies of individual productivity patterns reveal a puzzle: the average number of papers published…

Applications · Statistics 2026-02-13 Sam Zhang , Nicholas LaBerge , Samuel F. Way , Daniel B. Larremore , Aaron Clauset

A continuous variable changing between 0 and 1 is introduced to characterise contentment, or satisfaction with life, of an individual and an equation governing its evolution is postulated from analysis of several factors likely to affect…

General Economics · Economics 2021-09-01 Alexey A. Burluka

Mentoring is a key component of scientific achievements, contributing to overall measures of career success for mentees and mentors. A common success metric in the scientific enterprise is acquiring a large research group, which is believed…

Data Analysis, Statistics and Probability · Physics 2022-08-11 Yanmeng Xing , Ying Fan , Roberta Sinatra , An Zeng

This paper explores various socioeconomic factors that contribute to individual financial success using machine learning algorithms and approaches. Financial success, a critical aspect of all individual's well-being, is a complex concept…

Machine Learning · Computer Science 2024-07-09 Michael Zhou , Ramin Ramezani

This longitudinal study explores persistence in research productivity over time. We examine the trajectories of the academic careers of 2,326 current full professors in 14 STEMM disciplines, studying their lifetime biographical histories…

Digital Libraries · Computer Science 2023-05-09 Marek Kwiek , Wojciech Roszka

We describe a simple model of how a publication's citations change over time, based on pure-birth stochastic processes with a linear cumulative advantage effect. The model is applied to citation data from the Physical Review corpus provided…

Digital Libraries · Computer Science 2017-03-16 Michael J. Hazoglu , Vivek Kulkarni , Steven S. Skiena , Ken A. Dill

Pursuing educational qualifications later in life is an increasingly common phenomenon within OECD countries since technological change and automation continues to drive the evolution of skills needed in many professions. We focus on the…

General Economics · Economics 2023-04-24 Finn Lattimore , Daniel M. Steinberg , Anna Zhu

Inequality in human success may emerge through endogenous success-breeds-success dynamics but may also originate in pre-existing differences in talent. It is widely recognized that the skew in static frequency distributions of success…

Probability · Mathematics 2023-10-06 Alexandros Gelastopoulos , Lucas Sage , Arnout van de Rijt

Interdisciplinary research increasingly fuels innovation, and is considered to be a key to tomorrow breakthrough. Yet little is known about whether interdisciplinary research manifests delayed impact. Here, we use the time to reach the…

Digital Libraries · Computer Science 2022-07-12 Yang Zhang , Yang Wang , Haifeng Du , Shlomo Havlin