Queue-length Variations In A Two-Restaurant Problem

dc.creatorChakrabarti, Anindya S.
dc.creatorChakrabarti, Bikas K.
dc.date2008-08-23
dc.date.accessioned2026-07-07T12:05:58Z
dc.date.available2026-07-07T12:05:58Z
dc.descriptionThis paper attempts to find out numerically the distribution of the queue-length ratio in the context of a model of preferential attachment. Here we consider two restaurants only and a large number of customers (agents) who come to these restaurants. Each day the same number of agents sequentially arrives and decides which restaurant to enter. If all the agents literally follow the crowd then there is no difference between this model and the famous `Pólya's Urn' model. But as agents alter their strategies different kind of dynamics of the model is seen. It is seen from numerical results that the existence of a distribution of the fixed points is quite robust and it is also seen that in some cases the variations in the ratio of the queue-lengths follow a power-law.
dc.description7 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0808.3196
dc.identifierhttp://arxiv.org/abs/0808.3196
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208523
dc.subjectComputer Science and Game Theory
dc.subjectTrading and Market Microstructure
dc.titleQueue-length Variations In A Two-Restaurant Problem
dc.typetext

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