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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...
Persistent link: https://www.econbiz.de/10005475332
Ce travail est constitue de deux parties. Dans un premier temp, nous etudions un modele ou les actifs sont des projets d'investissements decrits par leurs flux. Ceux-ci sont modelises par des processus stochastiques dont la dynamique est decrite par un arbre binomial. Les investissements ont la...
Persistent link: https://www.econbiz.de/10005478351
In order to get rid of the condition X=Y, we introduce an extension of the Dynkin game by allowing for an extended set of strategies, namely the set of mixed strategies. The main result of the paper is that the extended Dynkin game has a value when the processes X and Y are only restricted to be...
Persistent link: https://www.econbiz.de/10005630681
We consider two-player repeated games with lack of information on one side: first, payoff matrices are chosen according to a known probability, and are only announced to one of the players called the informed player. Then, the game with the selected payoffs is infinitely repeated. We prove here...
Persistent link: https://www.econbiz.de/10005630753
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...
Persistent link: https://www.econbiz.de/10005475322
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.
Persistent link: https://www.econbiz.de/10005478347
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...
Persistent link: https://www.econbiz.de/10005478349
This paper presents a discrete time version of the Romer 1986 model of endogenous growth. The purpose of this work is to propose detailed and simple proofs of existence of optimal solutions and of a competitive equilibrium. The framework implemented here reduces the complexity of the proofs...
Persistent link: https://www.econbiz.de/10005478365
We present a new result on the asymptotic behavior of non-autonomous subgradient evolution equations.
Persistent link: https://www.econbiz.de/10005478369
We first study the competitivity ratio for the on-line version of the problem of finding a maximum-order induced subgraph satisfying some hereditary property, under the hypothesis that the input graph is revealed by clusters. Next, we focus ourselves on two of the most known instantiations of...
Persistent link: https://www.econbiz.de/10005478370