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In this paper, we present a possible theoretical explanation for benford's law. We develop a recursive relation between the probabilities, using simple intuitive ideas. We first use numerical solutions of this recursion and verify that the…

Other Statistics · Statistics 2012-11-30 H. M. Bharath

Bowley's law, also referred to as the law of the constant wage share, was a noteworthy empirical finding in economics, suggesting that a nation's wage share tended to remain stable over time, as observed through most of the 20th century.…

Dynamical Systems · Mathematics 2025-08-05 Roman G. Smirnov , Kunpeng Wang

This article has one single purpose: introduce a new and simple, yet highly insightful approach to capture, fully and quantitatively, the dynamics of the circular flow of income in economies. The proposed approach relies mostly on basic…

General Economics · Economics 2023-07-07 Aziz Guergachi , Javid Hakim

Taking as a hypothesis a form of the labour theory of value, and $without$ $assuming$ $equilibrium$, we derive an equation that yields the profit-rate $\pi$ as a function of time. For a mature economy, $\pi(t)$ reduces to the product of two…

Economics · Quantitative Finance 2017-05-09 Rafael D. Sorkin

It is pointed out that the language of quotient groups and wrapped distributions allows an elementary discussion of Benford's Law, and adds arguments supporting wide-spread observability of this statistics.

History and Overview · Mathematics 2016-12-14 Jacek M. Kowalski

Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps.

Dynamical Systems · Mathematics 2010-02-02 H. Melo , J. Cabral

It is a widely observed phenomenon that wealth is distributed significantly more unequal than wages. In this paper we study this phenomenon using a new extension of P\'olyas urn, modelling wealth growth through wages and capital returns. We…

Probability · Mathematics 2025-01-07 Thomas Gottfried , Stefan Grosskinsky

This paper investigates the financial economics of simple periodic systems. Well-established financial procedures appear to be complicated, and lead to partially biased results. Probability theory is applied, and the focus is on the…

General Economics · Economics 2025-03-20 Petri P. Karenlampi

The future value of a security is described as a random variable. Distribution of this random variable is the formal image of risk uncertainty. On the other side, any present value is defined as a value equivalent to the given future value.…

General Finance · Quantitative Finance 2013-02-05 Krzysztof Piasecki

The analysis of solutions to algebraic equations is further simplified. A couple of functions and their analytic continuation or root findings are required.

General Physics · Physics 2007-05-23 Gordon Chalmers

We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

A very simple but useful almost sure convergence theorem of probability is given.

General Mathematics · Mathematics 2011-12-19 Masumi Nakajima

In our previous paper we proved that every affine economy has a competitive equilibrium. We define a simplex economy as an affine economy consisting of a stochastic allocation (defining the initial endowments) and a variation with…

Theoretical Economics · Economics 2024-06-07 Antonio Pulgarín

This note gives a simple approach to q-analogues of some results associated with Abel polynomials.

Combinatorics · Mathematics 2008-03-11 Johann Cigler

We derive some simple relations that demonstrate how the posterior convergence rate is related to two driving factors: a "penalized divergence" of the prior, which measures the ability of the prior distribution to propose a nonnegligible…

Statistics Theory · Mathematics 2014-11-12 Wenxin Jiang

A computational model for the distribution of wealth among the members of an ideal society is presented. It is determined that a realistic distribution of wealth depends upon two mechanisms: an asymmetric flux of wealth in trading…

Statistical Mechanics · Physics 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.

History and Overview · Mathematics 2020-03-31 Stéphane Peigné

A relation between interest rates and inflation is presented using a two component economic model and a simple general principle. Preliminary results indicate a remarkable similarity to classical economic theories, in particular that of…

General Finance · Quantitative Finance 2011-04-14 Michael Coopersmith

A method yielding simple relationships among bilateral birth-and-death processes is outlined. This allows one to relate birth and death rates of two processes in such a way that their transition probabilities, first-passage-time densities…

Probability · Mathematics 2008-03-11 Antonio Di Crescenzo
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