Uniqueness of steady states in models with overlapping generations

In this paper we examine the likelihood of multiple real steady states in deterministic exchange economies with overlapping generations. There is a single good and a single agent per generation with constant relative risk aversion expected utility. In order to test for multiple equilibria we employ methods from computational algebraic geometry. In our examples, we find that multiplicity becomes less likely as the life span of agents increases but becomes more likely as the coefficient of risk aversion increases. For moderate values of risk aversion, multiplicity is very unlikely when agents live for five or more periods.