We build spaces of q.p. (quasi-periodic) functions and we establich some of their properties. They are motivated by the Perceival approach to q.p. solutions of Hamiltonian systems. The periodic solutions of an adequat Partial Differential Equation are related to the q.p. solutions of an Ordinar...

In this paper, we show that the correspondence discovered by Koshevoy (1999) and, Johnson and Dean (1998) between anti-exchange closure operators and path independent choice operators is a duality between two semilattices of such operators. Then we use this duality to obtain old and new results...

The purpose of this paper is to provide a characterization result for the canonical basis of an arbitrary closure operator. This theorem strengthens the result of Burosch, Demetrovics and Katona, who propose in [1] a characterization of the generating system of a closure operator defined by the...

We present and prove the equality between the core and the set of Walras allocations for a pure exchange economy with l goods and a continuum of consumers, represented by an atomless measure space.

We propose in this paper a framework based on a canonical representation of the long run matrix, which can constitute a basis for Granger non-causality testing in a VAR-ECM model using asymptotically Chi-square distributed Wald test statistics, and that unlike Giannini and Mosconi (1992),...

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...

We analyze the approximation behaviour of some of the best-known polynomial time approximation algorithms for bin-packing under an approximation criterion, called differential ratio. This measure has originally been introduced by Ausiello, D'Atri and Protasi and more recently revisited, in a...

This paper shows how to make hold the conjecture stated in Maskin an Tirole about the existence of a close connection between the finite, markovian stationary equilibria of a simple overlapping generations economy and the correlated equilibria of an associated finite exchange economy with...

We devise an approximation-preserving reduction of expansion O between weighted and unweighted versions of a class of problems called weighted hereditary induced-subgraph maximisation problems. This allows us to perform a first improvement of the best approximation ratio for the weighted...

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...