The influence of black markets on a queue-rationed centrally planned economy

In centrally planned economies in which prices are fixed, and the rationing mechanism is waiting line queues, we show that an equilibrium of waiting times exists. We then introduce a “black market” in which individuals can trade commodities that they have acquired through the official economy. An equilibrium of black market prices and waiting times is shown to exist; further, the economy with a black market is “queue-efficient.”. However, the introduction of black markets is not necessarily a Pareto improvement over an economy without black markets (even when we allow winners to compensate losers).