摘要
This paper examines the existence of equilibria for double infinite eonomies. S.F. Richardand S. Srivastava[1] have established the existence of equilibria for economies with infinitely countable consumers when commodity space is L∞(M,M,μ). However, most Banach Lattices as commodity spaces haven't interior points in their positive cones, so their result can't be applied to many cases. We here consider a general Banach Lattice as commodity space and introduce a concept of equiproperness on preferences. Under the assumption the existence of equilibrium for economy is established. Finally, we examine the existence of equilibria for production economies.
This paper examines the existence of equilibria for double infinite eonomies. S.F. Richardand S. Srivastava[1] have established the existence of equilibria for economies with infinitely countable consumers when commodity space is L∞(M,M,μ). However, most Banach Lattices as commodity spaces haven't interior points in their positive cones, so their result can't be applied to many cases. We here consider a general Banach Lattice as commodity space and introduce a concept of equiproperness on preferences. Under the assumption the existence of equilibrium for economy is established. Finally, we examine the existence of equilibria for production economies.
