We present mathematical results allowing one to evaluate the moments of order 1 and 2 of the cedent's share in the framework of reinsurance treaties based on ordered claimsizes. These results consist of closed analytical formulas that do not involve any approximation procedure. This is...

In this article, we present a reference case of mean field games. This case can be seen as a reference for two main reasons. First, the case is simple enough to allow for explicit resolution: Bellman functions are quadratic, stationary measures are normal and stability can be dealt with...

Various notions of tightness for measurable multifunctions are introduced and compared. They are used to derive results on the existence of integrable selections for the sequential weak upper limit of a sequence of multifunctions. Similar questions are examined for multifunctions with values in...

Funded private pillars are well developed in many countries such as the United States, the United Kingdom, Canada, Switzerland and the Netherlands. In France, the development of occupational pension plans has been limited. However, in this country, households tend to increase their personal...

Given a multi-dimensional Markov diffusion X, the Malliavin integration by parts formula provides a family of representations of the conditional expectation E[g(X 2)|X1]. The different representations are determined by some localizing functions. We discuss the problem of variance reduction...

Quelles sont les méthodes de prévision des ventes ? Comment concevoir des systèmes intégrés de prévision ? Comment les évaluer ? A ces questions Régis Bourbonnais et Jean-Claude Usunier apportent des réponses opérationnelles. Après avoir présenté les notions statistiques et...

We consider H expected utility maximizers that have to share a risky aggregate multivariate endowment X∈RN and address the following two questions: does efficient risk-sharing imply restrictions on the form of individual consumptions as a function of X ? Can one identify the individual utility...

Over the last two decades the Egyptian labor market has undergone major changes that the social claims of the January 2011 revolution brought to light. Among them, lack of job security and associated weak social protection have been particularly criticized. Therefore the aim of this article is...