Dynamics of efficiency: A simple model - art. no. 045101

We propose a simple model that describes the dynamics of efficiencies of co mpeting agents. Agents communicate leading to increase of efficiencies of u nderachievers, and an efficiency of each agent can increase or decrease irr espectively of other agents. When the rate of deleterious changes exceeds a certain threshold, the system falls into a stagnant phase. In the opposite situation, the average efficiency improves with asymptotically constant ra te and the efficiency distribution has a finite width. The leading algebrai c corrections to the asymptotic growth rate are also computed.