Solving the non-convexity problem in some shopping-time and human-capital models

Several works in the shopping-time and in the human-capital literature, due to the nonconcavity of the underlying Hamiltonian, use Örst-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 Arrowís (1968) su¢ ciency theorem.

Should voters be afraid of hard budget constraint legislation? fiscal responsibility law in brazilian municipalities

This manuscript demonstrates that voters have nothing to be afraid of when new hard budget constraint legislation is implemented. Our claim is that this kind of legislation reduces the asymmetry of information between voters and incumbents over the budget and, as a consequence, the latter have incentives to increase the supply of public goods. As a nationwide institutional innovation, the Fiscal Responsibility Law (FRL) is exogenous to all municipalities; therefore, there is no self-selection bias in its implementation. We show that public goods expenditure increases after the FRL. Second, this increase occurs in municipalities located in the country’s poorest region. Third, our findings can be extended to the supply of public goods because the higher the expenditure with health and education, the greater the probability of incumbents being re-elected. Finally, there exists a “de facto” higher supply of public goods in education (number of per capita classrooms) after the FRL.

Neutralizing the tendency to the overvaluation of the exchange rate or assuming a foreign constraint and asking for foreign savings

The objectives of these notes are two. The first objective is to analyze whether the strategy of growth with absorption of foreign savings leads to a trajectory of the economy that is sustainable in the long run. The second one is to evaluate the possibility of success of a policy of administered devaluation of the exchange rate in Brazil.