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On Minimizing Supermodular Functions on Hereditary Systems Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Sorger Game Under Uncertainty: Discrete Case

Authors : Natalia V. Adukova, Konstantin N. Kudryavtsev

Published in: Optimization Problems and Their Applications

Publisher: Springer International Publishing

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Abstract

At the present time, the discrete-time models are not given enough attention. But these models are more realistic than the continuous models, because the allocation of funds is discrete. In the paper a new discrete model of optimal advertising is proposed. This model takes into account the uncertainties. These uncertainties are caused by acts of a set of the small companies. The companies’ problem is to maximize their market share taking into account the reaction of competitors. The problem is a discrete multistep optimal control problem. For this model the optimal control problem is solved explicitly. The Bellman method of dynamic programming is used to construct the guaranteed equilibrium.

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Metadata
Title
Sorger Game Under Uncertainty: Discrete Case
Authors
Natalia V. Adukova
Konstantin N. Kudryavtsev
Copyright Year
2018
Book
Optimization Problems and Their Applications

Print ISBN: 978-3-319-93799-1

Electronic ISBN: 978-3-319-93800-4

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-93800-4_17

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