Dynamics of Income Distribution

In this paper, we have obtained closed-form solutions in Cass-Koopmans growth models with heterogeneous agents. The relationship between the form of production function and the dynamics of income distribution is made explicit. We then use this relationship to determine what production structure is simultaneously consistent with facts on growth and income inequality. Our empirical findings give support to models with decreasing returns in the reproducible factor.Income Distribution, Economic Growth

Unemployment spells and income distribution dynamics

In the U.S., during the 1948-86 period, an approximation to the Gini Index based on the quintiles and on the top 5% of the income distribution yielded a value of 0.351. Further, during this same period, the income share earned by the first quintile was procyclical and 7% more volatile than aggregate yearly output. In this paper we quantify the role played by unemployment spells in determining these and other related issues. To this purpose, we use an extension of the general equilibrium stochastic growth model that includes an endogenous distribution of households indexed by wealth and employment status. Our main findings are the following: i) in a model economy where all households have the same endowments of skills and are subject to the same employment processes, uninsured unemployment spells alone account for a very small share of the concentration of income observed in the U.S., and of the income distribution dynamics -the approximated Gini Index in this model economy is 18% of the one observed in the U.S., and the income share earned by the first quintile is 58% more volatile, ii) this result is robust to including a technology that allows for cyclically moving factor shares, and iii) in a model economy where households are partitioned into different skills groups that are subject to different employment processes in accordance to U.S. data, unemployment spells account for a significantly greater share of the U.S. statistics -the approximated Gini Index in this model economy is 70% of the one observed in the U.S., and the income share earned by the first quintile is 10% more volatile

Income distribution dynamics across European regions

We use two datasets to study the convergence process across European regions. Relying on Quah (1966a,1997), we examine the dynamics of income distribution and find evidence of polarization whatever the time horizon considered. Regions whose incomes were close together at an initial period transit subsequently to widely different income levels.distribution dynamics

Analytical study of tunneling times in flat histogram Monte Carlo

We present a model for the dynamics in energy space of multicanonical simulation methods that lends itself to a rather complete analytic characterization. The dynamics is completely determined by the density of states. In the \pm J 2D spin glass the transitions between the ground state level and the first excited one control the long time dynamics. We are able to calculate the distribution of tunneling times and relate it to the equilibration time of a starting probability distribution. In this model, and possibly in any model in which entering and exiting regions with low density of states are the slowest processes in the simulations, tunneling time can be much larger (by a factor of O(N)) than the equilibration time of the probability distribution. We find that these features also hold for the energy projection of single spin flip dynamics.Comment: 7 pages, 4 figures, published in Europhysics Letters (2005

Geometry, Scaling and Universality in the Mass Distributions in Heavy Ion Collisions

Various features of the mass yields in heavy ion collisions are studied. The mass yields are discussed in terms of iterative one dimensional discrete maps. These maps are shown to produce orbits for a monomer or for a nucleus which generate the mass yields and the distribution of cluster sizes. Simple Malthusian dynamics and non-linear Verhulst dynamics are used to illustrate the approach. Nuclear cobwebbing, attractors of the dynamics, and Lyapanov exponents are discussed for the mass distribution. The self-similar property of the Malthusian orbit offers a new variable for the study of scale invariance using power moments of the mass distribution. Correlation lengths, exponents and dimensions associated with scaling relations are developed. Fourier transforms of the mass distribution are used to obtain power spectra which are investigated for a $1/f^{\beta}$ behavior.Comment: 29 pages in REVTEX, 9 figures (available from the authors), RU-92-0

Transient Dynamics of Sparsely Connected Hopfield Neural Networks with Arbitrary Degree Distributions

Using probabilistic approach, the transient dynamics of sparsely connected Hopfield neural networks is studied for arbitrary degree distributions. A recursive scheme is developed to determine the time evolution of overlap parameters. As illustrative examples, the explicit calculations of dynamics for networks with binomial, power-law, and uniform degree distribution are performed. The results are good agreement with the extensive numerical simulations. It indicates that with the same average degree, there is a gradual improvement of network performance with increasing sharpness of its degree distribution, and the most efficient degree distribution for global storage of patterns is the delta function.Comment: 11 pages, 5 figures. Any comments are favore