Abstract
A progressive second price (PSP) auction mechanism was proposed in N. Sermet, et al., (Dec. 2000) for network bandwidth allocation. In this paper a quantized version of this mechanism (QPSP) is analyzed where the agents have similar demand functions and submit bids synchronously. It is shown that the non-linear dynamics induced by this mechanism are such that the prices bid by the various agents and the quantities allocated to these agents converge in at most five iterations or oscillate indefinitely, independently of the number of agents involved.
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