Cooperation in Queueing Systems

We study a social dilemma in a single-queue system in which human servers have discretion over the effort with which to process orders that arrive stochastically. We show theoretically that the efficient outcome in the form of high effort can be sustained in the subgame-perfect equilibrium if the interactions are long term (even when each server has a short-term incentive to free-ride and provide low effort). In addition, we show that queue visibility plays an important role in the type of strategies that can sustain a high-effort equilibrium. In particular, we show that limiting feedback about the current state of the queue may be beneficial if the expected duration of interaction is long. We conduct two controlled laboratory experiments to test the theoretical predictions and find that effort increases with the expected duration of an interaction. We also find that visibility has a strong impact on the strategies that human subjects use to provide effort in a dynamic setting. We discuss implications for managers and firms that are trying to improve service systems.