Edição de junho 2011, vol. 96 (6), págs. 471-476

doi:10.1590/s0066-782x2011000900016

Arq. Bras. Cardiol.

2011

DOI: 10.1590/s0066-782x2011000900016

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Edição de junho 2011, vol. 96 (6), págs. 471-476

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Solving the Non-Convexity Problem in Some Shopping-Time and Human-Capital Models

Cysne

2004

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Several works in the shopping-time and in the human-capital literature, due to the nonconcavity of the underlying Hamiltonian, use …rst-order conditions in dynamic optimization to characterize necessity, but not su¢ ciency, in intertemporal problems. In this work I choose one paper in each one of these two areas and show that optimality can be characterized by means of a simple aplication of Arrow's (1968) su¢ ciency theorem.

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Solving the Non-Convexity Problem in Some Shopping-Time and Human-Capital Models

Cysne

2004

SSRN Journal

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Inflation and Income Inequality: A Shopping-Time Aproach

2014

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On the Positive Correlation between Income Inequality and Unemployment

Cysne

2004

SSRN Journal

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Several empirical studies in the literature have documented the existence of a positive correlation between income inequalitiy and unemployment. I provide a theoretical framework under which this correlation can be better understood. The analysis is based on a dynamic job search under uncertainty. I start by proving the uniqueness of a stationary distribution of wages in the economy. Drawing upon this distribution, I provide a general expression for the Gini coe¢ cient of income inequality. The expression has the advantage of not requiring a particular speci…cation of the distribution of wage o¤ers. Next, I show how the Gini coe¢ cient varies as a function of the parameters of the model, and how it can be expected to be positively correlated with the rate of unemployment. Two examples are o¤ered. The …rst, of a technical nature, to show that the convergence of the measures implied by the underlying Markov process can fail in some cases. The second, to provide a quantitative assessment of the model and of the mechanism linking unemployment and inequality. I thank the participants of workshops at the Department of Economics of the University of Chicago and at the Getulio Vargas Foundation Graduate School of Economics for their comments.

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Edição de junho 2011, vol. 96 (6), págs. 471-476

Cited by 6 publications

References 0 publications

Solving the Non-Convexity Problem in Some Shopping-Time and Human-Capital Models

Solving the Non-Convexity Problem in Some Shopping-Time and Human-Capital Models

Inflation and Income Inequality: A Shopping-Time Aproach

On the Positive Correlation between Income Inequality and Unemployment

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