Probabilistic stimulation problem
type: Item
instance of: scholarly article
title: Probabilistic stimulation problem
zbMATH Open document ID: 0832.90001
author: Vladimir N. Burkov
author: A. K. Enaleev
author: Dmitriĭ Aleksandrovich Novikov
published in: Automation and Remote Control
publication date: 1995-02-19T00:00:00Z
review text: The paper treats a problem of the stochastic active systems (AS) theory which is better known in the English economic literature as contract theory. A general setting of the problem is presented first with mathematical specification of the objective functions of the center and of the active elements (AE). After recognizing that there is no solution method for the general problem formulation, two models containing simplifying assumptions are presented. The essential assumption leading to the first model is that the set of admissible internal plans of the AE is finite, which leads to an averaging of the objective functions of the center and of the AE. The second model circumvents the explicit presence of random variables in the problem formulation and reduces the originally stochastic problem to a deterministic one. Finally, under one additional assumption, it is shown that the solutions provided by both models coincide with each other. Numerical computer methods for determining a solution, based on either model, are outlined.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 93A13
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93E03
zbMATH DE Number: 710855
zbMATH Keywords: stochastic active systems
zbMATH Keywords: contract theory
zbMATH Keywords: stochastic problem
reviewed by: Markos Papageorgiou
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 710855