PACS. 02.50.-r -Probability theory, stochastic processes, and statistics. PACS. 05.40.-a -Fluctuation phenomena, random processes, noise and Brownian motion. PACS. 89.20.-a -Interdisciplinary applications of physics.Abstract. -We propose a model of a competing population whose agents have a tendency to balance their decisions in time. We find phase transitions to oscillatory behavior, explainable by the aggregation of agents into two groups. On a longer time scale, we find that the aggregation of smart agents is able to explain the lifetime distribution of epochs to 8 decades of probability.c EDP Sciences