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This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

This paper gives a constructive treatment of McKenzie's theorem on the existence of general equilibria. While the full theorem does not admit a constructive proof, and hence does not admit a computational realisation, we show that if we…

Logic · Mathematics 2016-11-09 Matthew Hendtlass , Nazar Miheisi

A derivation of Balmer's formula is presented, guided by the principles of simplicity and harmony.

History and Philosophy of Physics · Physics 2024-06-11 D V Redzic

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

This paper presents a model of the dynamics of the wage income distribution.

General Finance · Quantitative Finance 2015-05-13 John Angle

The use of absolute return volatility has many modelling benefits says John Cotter. An illustration is given for the market risk measure, minimum capital requirements.

Statistical Finance · Quantitative Finance 2011-03-31 John Cotter

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

This note introduces a new Bayesian control chart to compare two processes by monitoring the ratio of their percentiles under Weibull assumption. Both in-control and out-of-control parameters are supposed unknown. The chart analyses the…

Applications · Statistics 2015-07-01 Pasquale Erto

Conditions for Bayesian posterior robustness have been examined in recent literature. However, many of the proofs seem to be long and complicated. In this paper, we first summarize some basic lemmas that have been applied implicitly or…

Statistics Theory · Mathematics 2023-11-06 Yasuyuki Hamura

We develop a general framework to analyze the distribution functions of wealth and income. Within this framework we study wealth distribution in a society by using a model which turns on two-party trading for poor people while for rich…

Statistical Mechanics · Physics 2008-12-02 Arnab Das , Sudhakar Yarlagadda

This note observes that the Cobb-Douglas function is uniquely characterized by the property that, if the labour share of cost for a constant-returns-to-scale firm remains constant when the firm minimizes its cost for any given output level,…

General Economics · Economics 2024-11-14 Richard Vale

Net profit is sometimes found from data for net operating surplus. We propose a way to find it from data for consumption, pay and market-value capital, and concomitantly to reveal the factor shares in consumption.

General Economics · Economics 2024-10-21 Gordon Getty , Nikita Tkachenko

I introduce a concave function of allocations and prices -- the economy's potential -- which measures the difference between utilitarian social welfare and its dual. I show that Walrasian equilibria correspond to roots of the potential:…

Theoretical Economics · Economics 2022-10-27 Jacob K Goeree

The goal of the paper is twofold: it aims to give an extensive set of tools and bibliography towards Nowicki's conjecture both in an associative setting; it establishes a new result about Nowicki's conjecture for the free metabelian Poisson…

Rings and Algebras · Mathematics 2022-01-13 Lucio Centrone , Andre Dushimirimana , Sehmus Findik

Some time ago Wastlund reformulated the Basel problem in terms of a physical system using the proportionality of the apparent brightness of a star to the inverse square of its distance. Inspired by this approach, we give another physical…

History and Overview · Mathematics 2019-08-27 Z. K. Silagadze

We analyze correlations among stock returns via a series of widely adopted parameters which we refer to as explanatory variables. We subsequently exploit the results to propose a long only quantitative adaptive technique to construct a…

Statistical Finance · Quantitative Finance 2018-09-20 Ludovico Latmiral

We derive the most probable distribution of resources for a simple society. We find that a probabilistic analysis forbids both too much and too less equity, and selects instead a minimally ordered state. We give the detailed calculations…

Statistical Mechanics · Physics 2008-12-10 Daniel O. Badagnani

We present an easy proof of Polya's theorem on random walks: with the probability one a random walk on the two-dimensional lattice returns to the starting point.

Combinatorics · Mathematics 2018-03-05 Yury Kochetkov

Recursion formulae are derived for the calculation of two centre matrix elements of a radial function in relativistic quantum mechanics. The recursions are obtained between not necessarily diagonal radial eigensates using arbitrary radial…

The aim of this paper is to present a very simple set of conditions, necessary for the management of knowledge of a poset $T$ of two agents, which are partially ordered by the capabilities available in the system. We build up a formal…

Logic in Computer Science · Computer Science 2014-07-04 Luisa Iturrioz