Money,inflation, and maximizing behavior: The case of many countries

This paper examines a world which is composed of countries each inhabited by a population of farsighted overlapping generations and in which the only assets are the national currencies that grow at constant proportional rates. It is shown that the world economy is unstable in the sense that, away from the steady state, either the real value of each country's stock of money goes to zero or the world monetary system eventually collapses. It is also shown that the dynamic paths of the price level and the real stock of money in each country may move nonmonotonically over time.