This paper deals with a private ownership production economy assuming that the commodity space is infinite-dimensional. It is first showed that the fuzzy core allocations, a concept that goes back to J.-P. Aubin, are in a one-to-one correspondence with certain core allocations of a continuum...

We study a class of exchange economies where the characteristics of the agent are fixed but the initial endowments. We define a notion of regular economies which encompasses the different approach of the literature. We then prove that a regular exchange economy has a finite odd number of...