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The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explicitly Gibrat's law of proportionate effects as the result of…

General Finance · Quantitative Finance 2015-06-11 Joachim Kaldasch

The contradiction between physical and economical sciences concerning the growth of the production/consumption mechanism is analyzed. It is then shown that if one wishes to keep the security level stable or to enhance it in a growing…

Physics and Society · Physics 2013-12-03 Angelo Tartaglia

Despite extensive research on scientific disruption, two questions remain: why disruption has declined amid growing knowledge, and why disruptive work receives fewer and delayed citations. One way to address these questions is to identify…

Physics and Society · Physics 2025-12-11 Xiaoyao Yu , Talal Rahwan , Tao Jia

Pursuit of honest and truthful decision-making is crucial for governance and accountability in democracies. However, people sometimes take different perspectives of what it means to be honest and how to pursue truthfulness. Here we explore…

Knowledge amount is an integral indicator of the development of society. Humanity produces knowledge in response to challenges from nature and society. Knowledge production depends on population size and human productivity. Productivity is…

Physics and Society · Physics 2023-12-27 Boris M. Dolgonosov

We have modeled the employment/population ratio in the largest developed countries. Our results show that the evolution of the employment rate since 1970 can be predicted with a high accuracy by a linear dependence on the logarithm of real…

General Finance · Quantitative Finance 2011-09-21 Ivan Kitov , Oleg Kitov

Economic growth is unpredictable unless demand is quantified. We solve this problem by introducing the demand for unpaid spare time and a user quantity named human capacity. It organizes and amplifies spare time required for enjoying…

General Finance · Quantitative Finance 2012-06-13 Hans G. Danielmeyer , Thomas Martinetz

In university programs and curricula, in general we react to the need to meet market needs. We respond to market stimulus, or at least try to do so. Consider now an inverted view. Consider our data and perspectives in university programs as…

Computers and Society · Computer Science 2008-12-21 Fionn Murtagh

This study is motivated by two different, yet, connected, motivations. The first one follows the observation that the classical definition of derivatives involves prospective (or forward) difference quotients, not known whenever the time is…

Optimization and Control · Mathematics 2013-12-10 Jean-Pierre Aubin

Most explanations of economic growth are based on knowledge spillovers, where the development of some technologies facilitates the enhancement of others. Empirical studies show that these spillovers can have a heterogeneous and rather…

General Economics · Economics 2021-07-14 Anton Bondarev , Frank C. Krysiak

Science is a growing system, exhibiting ~4% annual growth in publications and ~1.8% annual growth in the number of references per publication. Combined these trends correspond to a 12-year doubling period in the total supply of references,…

Digital Libraries · Computer Science 2019-12-17 Raj K. Pan , Alexander M. Petersen , Fabio Pammolli , Santo Fortunato

Human creativity is the ultimate driving force behind scientific progress. While the building blocks of innovations are often embodied in existing knowledge, it is creativity that blends seemingly disparate ideas. Existing studies have made…

Social and Information Networks · Computer Science 2016-12-06 Xinyang Zhang , Dashun Wang , Ting Wang

Functional technical performance usually follows an exponential dependence on time but the rate of change (the exponent) varies greatly among technological domains. This paper presents a simple model that provides an explanatory foundation…

Computers and Society · Computer Science 2016-02-16 Subarna Basnet , Christopher L. Magee

Scientific idea generation is a cornerstone of autonomous knowledge discovery, yet the iterative evolution required to transform initial concepts into high-quality research proposals remains a formidable challenge for Large Language Models…

Artificial Intelligence · Computer Science 2026-03-24 Andreas Sauter , Yuyue Zhao , Jacopo Urbani , Wenxiang Hu , Zaiqiao Meng , Lun Zhou , Xiaohui Yan , Yougang Lyu

This paper extends endogenous economic growth models to incorporate knowledge externality. We explores whether spatial knowledge spillovers among regions exist, whether spatial knowledge spillovers promote regional innovative activities,…

Econometrics · Economics 2018-03-07 Jinwen Qiu , Wenjian Liu , Ning Ning

Long-range climate forecasts use integrated assessment models to link the global economy to greenhouse gas emissions. This paper evaluates an alternative economic framework outlined in part 1 of this study (Garrett, 2014) that approaches…

General Finance · Quantitative Finance 2016-01-05 Timothy J. Garrett

The major study by Bordo and Helbing (2003) analyses the business cycle in Western economies 1881-2001. They examine four distinct periods in economic history, and conclude that there is a secular trend towards greater synchronisation for…

Statistical Finance · Quantitative Finance 2008-12-02 Paul Ormerod

Judicial opinions once considered sound can lose relevance over time. Yet, little has been known, both systematically and at scale, about how judicial reasoning has evolved. Here, we analyze four million US court decisions from 1800 to…

Physics and Society · Physics 2025-08-01 Seoul Lee , Taekyun Kim , Jisung Yoon , Hyejin Youn

Scientific and technological progress is largely driven by firms in many domains, including artificial intelligence and vaccine development. However, we do not know yet whether the success of firms' research activities exhibits dynamic…

Physics and Society · Physics 2021-08-03 Shuqi Xu , Manuel S. Mariani , Linyuan Lü , Lorenzo Napolitano , Emanuele Pugliese , Andrea Zaccaria

Economic growth depends on capital investments and on investments in education and innovation. The model introduced here will specifiy aggregate output as determined by aggregate supply of capital and education investment. After formulating…

Dynamical Systems · Mathematics 2025-12-10 Ferdinand Verhulst