L'objectif de cet article est de reconsiderer la theorie des irréversibilités decisionnelles dans un cadre non-Bayesien. Nous proposons tout d'abord une typologie de trois effets permettant de distinguer les roles respectifs des irreversibilites et de l'information et de pallier ainsi a une...

We consider a financial market consisting of a nonrisky asset and a risky one. We study the minimal initial capital needed in order to super-replicate a given contingent claim under the Gamma constraint, i.e. a constraint on the unbounded variation part of the hedging porfolio. In the general...

In a first time we draw a rough shape of a general formal framework for polynomial approximation theory which encompasses the existing one by allowing the expression of new types of results. We show how this framework incorporates all the existing approximation results and, moreover, how new...

We establish necessary conditions of optimality for problems of optimal control Theory in the discrete time framework with infinite horizon. Our necessary conditions are in the form of Pontryagin principles. We treat smooth and partially nonsmooth settings, without concavity. A strong motivation...

In this paper we develop a new version of the algortihm proposed in [17] for solving exactly some variants of (un)weighted constrained two-dimensional cutting stock problems. We introduce one-dimensional bounded knapsacks in order to obtain an improved initial lower bound for limitating...

Semi-definite programming (SDP) is of growing importance in various filed: system control, mechanics, combinatorial optimization, ... Usually, it is solved by interior point methods, which are elegant, efficicent and well-suited. However, they have limitations, particularly in large-scale or...

L'origine de ce travaial reside dans la question, dite teleologique, de la justification de scenarios determines par optimisation intertemporelle, pour les modeles macroeconomiques d'une economie non planifiee, mais susceptible de regulation. On aborde cette question par un approche constructive...

In this paper, we define and study a new class of optimal stochastic control problems which is closely related to the theory of Backward SDE's and forward-backward SDE's. The controlled process takes values in RXR and a given initial data for X(O). Then, the control problem is to find the...

In this paper we propose two algorithms for solving both unweighted and weighted constrained two-dimensional two-staged cutting stock problems. The problem is called two-staged cutting problem because each produced (sub) optimal cutting pattern is realized by using two cut-phases.

IN this paper, we consider a two-level optimization problem (S) (weak Stackelberg problem) in which the constraints of the upper level problem depend on the set of optimal solutions of the lower level problem, supposed not necessarily a singleton. Using penalty methods, we give an approximation...