The first-order approach when the cost of effort is money

We provide sufficient conditions for the first-order approach in the principal-agent problem when the agent’s utility has the nonseparable form u(y−c(a))$u(y-c\left(a\right))$ where y$y$ is the contractual payoff and c(a)$c\left(a\right)$ is the money cost of effort. We first consider a decision-maker facing prospects which cost c(a)$c\left(a\right)$ and with distributions of returns y$y$ that depend on a$a$. The decision problem is shown to be concave if the primitive of the cdf of returns is jointly convex in a$a$ and y$y$, a condition we call Concavity of the Cumulative Quantile (CCQ) and which is satisfied by many common distributions. Next we apply CCQ to the distribution of outcomes (or their likelihood-ratio transforms) in the principal-agent problem and derive restrictions on the utility function that validate the first-order approach. We also discuss another condition, log-convexity of the distribution, and show that it allows binding limited liability constraints, which CCQ does not.     

Does school matter for educational achievement? a two-way nested-error components analysis

School effectiveness is a much-debated question both at an analytical level and as a policy issue. In this paper we used a two-way nested-error components educational production function model to evaluate the relative importance of latent class and school variables in explaining student school achievement. The analysis is carried out with a sample of Montreal francophone public elementary school students. As for the observable variables, the empirical results suggest that the latent class and school variables are negligible with respect to the latent personal and socioeconomic variables. Related policy issues are discussed in the conclusion.     

The long-run impact of human capital on innovation and economic development in the regions of Europe

ABSTRACT

Human capital is supposed to be an important factor for innovation and economic development. However, the long-run impact of human capital on current innovation and economic development is still a black box, in particular at the regional level. Therefore, this paper makes the link between the past and the present. Using a large new dataset on regional human capital and other factors in the 19^th and 20^th century, we find that past regional human capital is a key factor explaining current regional disparities in innovation and economic development.