Walrasian versus quasi-competitive equilibrium and the core of a production economy

This paper presents very general conditions guaranteeing that a quasi-competitive equilibrium is a Walrasian equilibrium. We also develop a generalization (and a simplified proof) of Nikaido’s and McKenzie’s extensions of the classic Debreu-Scarf theorem on core convergence, and apply the first result to obtain an equivalence between the set of Edgeworth equilibria and the set of Walrasian equilibria in a production economy. Copyright Springer-Verlag Berlin/Heidelberg 2005