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Please use this identifier to cite or link to this item: http://hdl.handle.net/2328/26283

Title: Player aggregation in the traveling inspector model
Authors: Filar, Jerzy A
Keywords: Mathematics
Game theory
Issue Date: 1985
Publisher: Institute of Electrical and Electronic Engineers
Citation: Filar, J.A. 1985. Player aggregation in the traveling inspector model. IEEE Transactions on Automatic Control, vol. AC-30(8), 723-729.
Abstract: We consider a model of dynamic inspection/surveillance of a number of facilities in different geographical locations. The inspector in this process travels from one facility to another and performs an inspection at each facility he visits. His aim is to devise an inspection/ travel schedule which minimizes the losses to society (or to his employer) resulting both from undetected violations of the regulations and from the costs of the policing operation. This model is formulated as a non-cooperative, single-controller, stochastic game. The existence of stationary Nash equilibria is established as a consequence of aggregating all the inspectees into a single “aggregated inspectee”. It is shown that such player aggregation causes no loss of generality under very mild assumptions. A notion of an “optimal Nash equilibrium” for the inspector is introduced and proven to be well-defined in this context. The issue of the inspector’s power to “enforce” such an equilibrium is also discussed.
URI: http://hdl.handle.net/2328/26283
ISSN: 0018-9286
Appears in Collections:Computer Science, Engineering and Mathematics - Collected Works

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