Economies with price-dependent preferences.
Using sufficiently good conditions for the utility functions the author shows, that most properties of the standard equilibrium analysis can be extended to the case, where preferences depend on prices, provided that the total resources are variable. For the case of fixed total resources it is proved, that there are economies with price-dependent preferences and at least two consumers whose equilibrium manifold is not connected. In the case of variable resources it is proved, that the equilibrium set is a smooth manifold diffeomorphic to an Euclidean space. Furthermore Debreu's theorem on the generic finiteness and the local uniqueness of the number of equilibria is extended to the more general case considered in this paper. Finally one finds interesting examples, remarks and some concluding comments.
scientific article; zbMATH DE number 1930305