This paper applies the Mean Fi eld Game approach pioneered by Lasry and Lions (2007) to the analysis of the researchers' academic productivity. It provides a theoretical motivation for the stability of the universaly observed Lotka's law. It shows that a remuneration scheme taking into account...

This paper presents another definition of substitutes and complements. It follows a dual approach using the Luenberger's benefit function. The benefit function measures the amount of a reference bundle that an individual would be willing to give up to move from a given utility level to any...

Written on the occasion of the centenary of Louis Bachelier's 1900 PhD thesis “Théorie de la spéculation”, this paper puts Bachelier into a historical perspective. It explains his role as a pioneer in both mathematical finance and probability theory, and it also gives a careful account of...

This paper presents an application of new measures of research excellence, namely Hirsch's index (2005) and derived indexes. It gives a ranking of French departments of Economics, departments of Management and Business schools based on the quality of the academic environment offered by these...

We study a trading process for a pure exchange economy with overlapping generations. This process is based on the maximization, at each stage, of a collective benefit (or surplus). We show that this process converges to a Pareto-optimal allocation. This extends the second fundamental convergence...

The h-index is an index recently proposed by Hirsch (2005) to measure scientific achievement by individual scholars. It is a compound measure of publications and citations. We show the robustness of this index. This means that h-index increases with both the number of publications and the number...

Available characterizations of the various notions of stochastic dominance concern continuous random variables. Yet, discrete random variables are often used either in pedagogical presentations of stochastic dominance or in experimental tests of this notion. This note provides complete...

This paper presents another definition of substitutes and complements. It follows a dual approach using the Luenberger's benefit function. The benefit function measures the amount of a reference bundle that an individual would be willing to give up to move from a given utility level to any...