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...

The article deals with the two fundamental theorems of welfare economics for production economies with a finite set of agents, infinitely many private goods, and a set of public projects. The problem of efficiency and decentralization is addressed under the following very general assumptions:...