  This paper considers competitive mobility-on-demand systems where a group of
vehicle sharing companies, on one hand, want to collectively regulate the
traffic of the user queueing network, and on the other hand, maximize their own
profits at each time instant. We formulate the strategic interconnection among
the companies as a real-time game theoretic coordination problem. We propose an
algorithm to achieve vehicle balance and practical regulation of the user
queueing network. We quantify the relation between the regulation error and the
system parameters (e.g., the maximum variation of the user arrival rates).
