General equilibrium models of oligopolistic competition give rise to relative prices only without determining the price level. It is well known that the choice of a numeraire or, more generally, of a normalization rule converting relative prices into absolute prices entails drastic consequences...

The theory of regular economies is useful for the studies of the local uniqueness of equilibria, continuity of the equilibrium price correspondence, and possibility of comparative statics. The theory of regular economies also helps give a better understanding of the core correspondence, because...

We consider economies with incomplete markets, production, and a given distribution of initial endowments. The main purpose of the paper is to present a robust example of an economy with only one firm and one good per state in which no production decision entails a constrained efficient outcome....

We consider economies with incomplete markets, one good per state, private ownership of initial endowments, a single firm, and no assets other than shares in this firm. In this simple framework, arbitrarily small income effects can render every market equilibrium resulting from some production...

1. The Economic Framework -- 2. Introduction to the Mathematics -- 3. Differentiable Manifolds and Mappings, Tangents, Vectorfields -- 4. Regular Equilibria. A First Approach -- 5. Scarf’s Example -- 6. Excess Demand Functions -- 7. Debreu’s Theorem on the Finiteness of the Number of...