Rudolf Auspitz and Richard Lieben's Untersuchungen über die Theorie des Preises (1889) are an important contribution to the rise of mathematical economics. A distinguishing feature of their work is to consider utility of one commodity as a function of the quantities of all commodities, and to...

A generalization of the Roy-Gallai Theorem on the chromatic number of a graph is derived which is also an extension of several other results of Berge and of Li.

Cette note considere un eeconomie d'echange a deux periodes dans laquelle les dotations sont incertaines. En plus de cette incertitude economique, existe une incertitude pesant sur les paiements des actifs financiers. Les agents ont des croyances non-additives en ce qui concerne l'incertitude...

Cet article propose une evaluation critique de ce que le courant néoclassique appelle la "nouvelle theorie" de la croissance. Il analyse ce qu'est la "croissance endogene", en presentant, dans une premiere partie, les origines, mecanismes et catégories de modèles à progres technique...

We give a simple example to the non-existence of duopoly equilibrium in pure strategies in an economy with two goods and two types of consumers.

In this paper, it is proved that in the case of pure exchange economy, the oligopoly equilibrium leads to the competitive equilibrium when the economy is replicated an infinite number of times.

We present a version of the APT based on an asset index set of an arbitrary infinite cardinality. Under assumptions due to Ross and Chamberlain-Rothschild, we shhow that in the absence of gains from asymptotic arbitrage, the square of the deviations of the individual rates of return from a...