Generic Existence of Completely Revealing Equilibria for Economies with Uncertainty when Prices Convey Information
分析了在静态纯交换经济中,当价格传递关于世界状态的信息时,严格理性预期均衡存在的条件。结果表明,如果经济主体的特征随状态变化不大,则完全揭示所有初始信息的均衡价格函数普遍存在。
Conditions which imply the existence of strict rational expectations equilibria for most static pure exchange economies where prices convey information about the state of the world are analyzed. Information is aggregated and transmitted by prices because agents have different initial information and maximize the conditional expectation of state-dependent utility functions. Major results state that if, with probability one, agents' characteristics do not vary too much as the state of the world varies, then, generically, there exist equilibrium price functions which reveal all initial information. More precisely, if the support of the image measure is contained in a compact C1 manifold (satisfying some technical conditions) which is of sufficiently low dimension relative to the number of commodities, then existence of completely revealing equilibria is generic. Any economy satisfying these assumptions can be approximated by a sequence of economies which also obey these assumptions and have completely revealing equilibrium price functions. Slight perturbations do not destroy the existence property.