Weak group strategy-proof and queue-efficient mechanisms for the queueing problem with multiple machines

We first provide the complete characterization of mechanisms that satisfy weak group strategy-proofness and queue-efficiency in the multiple machine queueing problem with two agents. For any such mechanism, there can be at most one point of discontinuity in the transfer map. We then state a necessary condition for mechanisms to satisfy queue-efficiency, weak group strategy-proofness and continuity, with more than two agents. Finally, we provide a class of mechanisms that satisfy queue-efficiency, weak group strategy-proofness and continuity. JEL classification: D71; D82; D74