Cone conditions in oligopolistic market models.
The paper deals with the oligopolistic economic models in which the perfect competition principle can be deformed by the presence of big traders. One of possible consequences of that phenomenon can be also the failure of the theorem on the equivalence between Walras equilibrium and core. Some formal assuptions on the commodity space follow from the assumed presence of infinitely many commodities. The attention is focused on the analysis of the equivalence between core and competitive allocations in such economies under the assumption that the ``powerful'' agents have the same economic characteristics. Especially, the role played by cone conditions in the existence of atoms is studied. It is also shown that if the preferences are convex then a suitable nonatomic economy associated to the model contributes to the interpretation of the results.
scientific article; zbMATH DE number 1924830