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The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in various contexts. Here we propose a generative model to capture the dynamics of survival analysis,…

Physics and Society · Physics 2015-09-30 Trevor Fenner , Mark Levene , George Loizou

Evolutionary game theory is a framework to formalize the evolution of collectives ("populations") of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. There are two…

Adaptation and Self-Organizing Systems · Physics 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko

This paper presents a dynamic model to study the impact on the economic outcomes in different societies during the Malthusian Era of individualism (time spent working alone) and collectivism (complementary time spent working with others).…

Physics and Society · Physics 2016-07-04 Kartik Ahuja , Mihaela van der Schaar , William R. Zame

The Goodwin model of endogenous growth looks to study the dynamic interaction between employment rate and worker's share of national income in an economy. The model is simplistically and elegantly described by a set of differential…

Dynamical Systems · Mathematics 2017-04-20 Philip Coyle

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

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We address the issue of the dynamics of wealth accumulation and economic crisis triggered by extreme inequality, attempting to stick to most possibly intrinsic assumptions. Our general framework is that of pure or modified multiplicative…

Economics · Quantitative Finance 2017-05-17 Henri Benisty

We study several models of growth driven by innovation and imitation by a continuum of firms, focusing on the interaction between the two. We first investigate a model on a technology ladder where innovation and imitation combine to…

Theoretical Economics · Economics 2020-08-27 Jess Benhabib , Éric Brunet , Mildred Hager

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payoff rate that is a function of a stochastic economic…

Optimization and Control · Mathematics 2018-06-05 Mihail Zervos , Carlos Oliveira , Kate Duckworth

We analyze wealth condensation for a wide class of stochastic economy models on the basis of the economic analog of thermodynamic potentials, termed transfer potentials. The economy model is based on three common transfers modes of wealth:…

Physics and Society · Physics 2009-11-11 Dieter Braun

The combination of the network theoretic approach with recently available abundant economic data leads to the development of novel analytic and computational tools for modelling and forecasting key economic indicators. The main idea is to…

General Finance · Quantitative Finance 2014-03-05 Andreas Joseph , Irena Vodenska , Eugene Stanley , Guanrong Chen

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

Portfolio Management · Quantitative Finance 2013-04-23 Vladimir Cherny , Jan Obloj

We derive an alternative expression for a delayed logistic equation in which the rate of change in the population involves a growth rate that depends on the population density during an earlier time period. In our formulation, the delay in…

Dynamical Systems · Mathematics 2022-06-07 Chiu-Ju Lin , Ting-Hao Hsu , Gail S. K. Wolkowicz

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

Probability · Mathematics 2019-03-28 Pierre Montagnon

Recently we have introduced a simplified model of ecosystem assembly (Capitan et al., 2009) for which we are able to map out all assembly pathways generated by external invasions in an exact manner. In this paper we provide a deeper…

Populations and Evolution · Quantitative Biology 2015-02-18 Jose A. Capitan , Jose A. Cuesta

Many complex systems are composed of disparate, interacting types of varying sizes: Species abundances in ecosystems, firm sizes in markets, city populations in countries, word counts in language, etc. A longstanding mystery of complex…

House price increases have been steady over much of the last 40 years, but there have been occasional declines, most notably in the recent housing bust that started around 2007, on the heels of the preceding housing bubble. We introduce a…

Applications · Statistics 2014-11-21 Jie Peng , Debashis Paul , Hans-Georg Müller

Cell populations invade through a combination of proliferation and motility. Proliferation depends on the internal timing of cell division: how long cells take to complete the cell cycle. This timing varies substantially within (and across)…

Cell Behavior · Quantitative Biology 2025-11-26 Stéphanie M. C. Abo , Ruth E. Baker

We estimate the relationship between GDP per capita growth and the growth rate of the national savings rate using a panel of 130 countries over the period 1960-2017. We find that GDP per capita growth increases (decreases) the growth rate…

General Economics · Economics 2021-06-28 Markus Brueckner , Tomoo Kikuchi , George Vachadze
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