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Related papers: Multigenerational Inequality

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We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

Computer Science and Game Theory · Computer Science 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

We study the dynamics of an age-structured population in which the life expectancy of an offspring may be mutated with respect to that of its parent. When advantageous mutation is favored, the average fitness of the population grows…

Statistical Mechanics · Physics 2009-10-31 W. Hwang , P. L. Krapivsky , S. Redner

A discrete time branching process where the offspring distribution is generation-dependent, and the number of reproductive individuals is controlled by a random mechanism is considered. This model is a Markov chain but, in general, the…

Probability · Mathematics 2024-01-30 Miguel González , Carmen Minuesa , Manuel Mota , Inés del Puerto , Alfonso Ramos

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

In the past six decades, lifespan inequality has varied greatly within and among countries even while life expectancy has continued to increase. How and why does mortality change generate this diversity? We derive a precise link between…

Populations and Evolution · Quantitative Biology 2013-11-22 Duncan O. S. Gillespie , Meredith V. Trotter , Shripad D. Tuljapurkar

We examine how production and the development of property rights interact with cultural transmission to shape the treatment of the elderly across societies. Our model posits that respect for the elderly arises endogenously: parents invest…

General Economics · Economics 2025-02-14 Matthew J. Baker , Joyce P. Jacobsen

A nonlinear inequality is formulated in the paper. An estimate of the rate of growth/decay of solutions to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear evolution equations. It can…

Classical Analysis and ODEs · Mathematics 2010-01-29 N. S. Hoang , A. G. Ramm

The long-term growth rate of populations in varying environments quantifies the evolutionary value of processing the information that biological individuals inherit from their ancestors and acquire from their environment. Previous models…

Populations and Evolution · Quantitative Biology 2021-06-30 Anton S Zadorin , Olivier Rivoire

In this short communication, we shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a…

Dynamical Systems · Mathematics 2013-04-23 Nasir Ganikhodjaev , Mansoor Saburov , Ashraf Mohamed Nawi

It has long been assumed that inheritances, particularly large ones, have a negative effect on the labor supply of inheritors. Using Norwegian registry data, I examine the inheritance-induced decline in inheritors' wages and occupational…

General Economics · Economics 2022-11-07 Xiaoguang Ling

Intra-household inequality continues to remain a neglected corner despite renewed focus on income and wealth inequality. Using the LIS micro data, we present evidence that this neglect is equivalent to ignoring up to a third of total…

General Finance · Quantitative Finance 2016-08-31 Deepak Malghan , Hema Swaminathan

Multilevel or hierarchical data structures can occur in many areas of research, including economics, psychology, sociology, agriculture, medicine, and public health. Over the last 25 years, there has been increasing interest in developing…

Methodology · Statistics 2018-01-08 Bernet S. Kato , Carel F. W. Peeters

Life-expectancy is a complex outcome driven by genetic, socio-demographic, environmental and geographic factors. Increasing socio-economic and health disparities in the United States are propagating the longevity-gap, making it a cause for…

Applications · Statistics 2018-11-20 Tavpritesh Sethi , Anant Mittal , Shubham Maheshwari , Samarth Chugh

Drawing on work spanning economics, public health, education, sociology, and law, I formalize theoretically what makes systemic discrimination "systemic." Injustices do not occur in isolation, but within a complex system of interdependent…

General Economics · Economics 2024-03-19 David B. McMillon

The well known operator ordering ambiguity could motivate the existence of generations. This possibility is explored by exploiting the relationship between ordering and discretization rules. Context is drawn from lattice theory and non…

High Energy Physics - Theory · Physics 2007-05-23 A. Rivero

Modeling how individuals evolve over time is a fundamental problem in the natural and social sciences. However, existing datasets are often cross-sectional with each individual observed only once, making it impossible to apply traditional…

Machine Learning · Computer Science 2019-03-06 Emma Pierson , Pang Wei Koh , Tatsunori Hashimoto , Daphne Koller , Jure Leskovec , Nicholas Eriksson , Percy Liang

The widespread use of large language models (LLMs) raises an important question: how do texts evolve when they are repeatedly processed by LLMs? In this paper, we define this iterative inference process as Markovian generation chains, where…

Computation and Language · Computer Science 2026-03-13 Mingmeng Geng , Amr Mohamed , Guokan Shang , Michalis Vazirgiannis , Thierry Poibeau

The widespread adoption of Machine Learning systems, especially in more decision-critical applications such as criminal sentencing and bank loans, has led to increased concerns about fairness implications. Algorithms and metrics have been…

Machine Learning · Computer Science 2023-08-15 Usman Gohar , Lu Cheng

Algorithmic systems are known to impact marginalized groups severely, and more so, if all sources of bias are not considered. While work in algorithmic fairness to-date has primarily focused on addressing discrimination due to individually…

Machine Learning · Computer Science 2021-05-14 Vishwali Mhasawade , Rumi Chunara

Across income groups and countries, individual citizens perceive economic inequality spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actualinequality informing redistributive…

General Economics · Economics 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer , Anna Gebhard