Ruelle Operator Theorem for Nonexpansive systems
The Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for non-expansive systems. Our theorems give some sufficient conditions for the Ruelle operator theorem to be held for a non-expansive system.
Turnovsky observes that “the rational expectations hypothesis has had a profound impact on macroeconomic theory and policy during the past decade.” Tracing briefly the evolution of the ideas involved, he concludes that “… a consensus view is emerging that in fact under quite plausible conditions the policy neutrality proposition does not hold; therefore, there is still scope for policy rules to play an important role in stabilizing output.”The mathematics used in the article is expository rather than analytical, requiring of the reader only somewhat more than the usual amount of persistence, faith in the author's interpretation of the literature, and a willingness to accept the integrity of economic models as representative of the real world. This is “required” reading for those teaching macroeconomics.