Family size and social utility: income distribution dominance criteria

"This paper generalizes previous results on income distribution dominance in the case where the population of income recipients is broken down into groups with distinct utility functions. The example taken here is that of income redistribution across families of different sizes. The paper first investigates the simplest assumptions that can be made about family utility functions. A simple dominance criterion is then derived under the only assumptions that family functions are increasing and concave with income and the marginal utility of income increases with family size."     

A particular class of continuous-time stochastic growth models

This paper generalizes to uncertaintly the neoclassical one-sector model by transforming the basic differential equation on the capital labor ratio into a “stochastic” differential equation. The capital-labor ratio and related economic variables become random variables whose probability distributions vary with time, and the paper is focused on the existence of a steady state denfined by the (probabilistic) stationarity of these variables. An application of the results is given for a specific example with a Cobb-Douglas production function and uncertainty on the saving coefficient, the labor-force rate of growth, and the capital depreciation rate.