Irreducible exchange economies in which consumers’ preferences are satiable and non-ordered are considered. A general existence theorem of dividend quasi-equilibrium is proved and by the theorem the existence of Walras equilibrium is proved under weaker assumptions of non-satiation.

Irreducible exchange economies in which consumers’ preferences are satiable and non-ordered are considered. A general existence theorem of dividend quasi-equilibrium is proved and by the theorem the existence of Walras equilibrium is proved under weak assumptions of non-satiation.

Exchange economies in which preferences of some consumers are possibly satiated are considered. In a general model of an atomless exchange economy, the equivalence between the ‘rejective’ core and the set of dividend equilibrium allocations is proved by applying Liapunov’s theorem in...