This paper studies the education policy chosen by a utilitarian government. In the model, households differ in their income and in their children's ability; income is observed by the government, but ability is private information. Households can use private education, but cannot borrow to finance it. The government can finance education with income tax, but at the cost of blunting the individuals' incentive to exert labour market effort. The optimal education policy we derive is elitist: it increases the spread between the educational achievement of the bright and the less bright individuals, compared to private provision. It is also such that the education received by less bright individuals depends positively on their parental income. Finally, the optimal education policy is input regressive, in the sense of Arrow (1971, Quarterly Journal of Economics, 38, 175–208): households with higher income and brighter children contribute less in tuition fees towards the cost of the education system than households with lower income and less bright children.

The efforts exerted by children, parents, and schools affect the outcome of the education process. We build this idea into a theoretical model where the effort exerted by the three groups of agents is simultaneously determined as a Nash equilibrium. The empirical analysis tests the model using the British National Child Development Study and finds support for this idea. We identify which factors affect educational attainment directly and which indirectly through effort. From a policy perspective, the paper indicates that affecting effort directly would have a positive impact on attainment.

We extend the standard analysis of decentralized markets to allow for the possibility that traders interact simultaneously with more than one trader on the opposite side of the market. In contrast with the literature, we reconcile the Walrasian equilibrium with the outcome of decentralized strategic trade: we show that there exist generic matching technologies that determine local market conditions such that, as market frictions vanish, the equilibrium price is the one that would result in the static Walrasian market. Our analysis highlights the importance of local market conditions for the determination of equilibrium prices.

We study career concerns in italian academia. We mold our empirical analysis on the standard model of contests, formalized in the multiunit all-pay auction. The number of posts, the number of applicants, and the relative importance of the criteria for promotion determine academics' effort and output. In Italian universities, incentives operate only through promotion, and all appointment panels are drawn from strictly separated and relatively narrow scientific sectors. Thus, the parameters affecting payoffs can be measured quite precisely, and we take the model to a newly constructed data set that collects the journal publications of all Italian university professors. Our identification strategy is based on a reform introduced in 1999, parts of which affected different academics differently. We find that individual researchers respond to incentives in the manner described by the theoretical model: roughly, more capable researchers respond to increases in the importance of the publications for promotion and in the competitiveness of the scientific sector by exerting more effort; less able researchers are discouraged by competition and do the opposite.