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...

The purpose of this paper is to study how the equilibrium, in a linear exchange equilibrium varies, with respect to the initial endowments and the utility vectors.

We study a class of exchange economies where the characteristics of the agent are fixed but the initial endowments. We define a notion of regular economies which encompasses the different approach of the literature. We then prove that a regular exchange economy has a finite odd number of...

We present a new result on the asymptotic behavior of non-autonomous subgradient evolution equations.

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...

We study the effects of capital mobility in a two-country economy with endogenous growth. In contrast with standard endogenous grwoth settings, this model can account for intentional private capital flows from rich to poor countries, and the impact of these flows on growth can be analyzed.

In this paper we first prove an equilibrium existe theorem for finite dimensional economies with unbounded below consumption sets. We only assume that the individually rational utility set is compact and use the demand approach instead of the standard Negishi's approach. We next compare the...