In this paper, we consider an economy with producers and introduce a kind of "money" into the economy in order to incorporate producers' behaviors of profit maximization. We define a modified concept of "rejective core" which depends on both consumers' and producers' criterions, and prove the...

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.

In an exchange economy with a continuum of traders, we establish the equivalence theorem on the core and the set of competitive allocations without assuming monotonicity of traders' preferences. Under weak assumptions we provide two alternative core equivalence theorems. The first one is for...

A dynamic economy with markets of equities and bonds is considered. The rational expectations equilibrium is defined in an asset pricing model and a condition under which the Modigliani-Miller theorem holds is shown. In an aggregate model the existence of a rational expectations equilibrium is...

A general quasi-stationary model of capital accumulation under uncertainty is considered and the discounted golden-rule state is characterized by prices. A support price for the discounted golden-rule state, which is a finitely additive vector-valued measure, is proved to exist. By using the...