Cost sharing, capacity investment and pricing in networks / Anja Schedel.
Schedel, Anja, author.
2021
HF5416.5
Available Online

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Title Cost sharing, capacity investment and pricing in networks / Anja Schedel.
Author Schedel, Anja, author.
ISBN 9783658331702 (electronic bk.)
3658331704 (electronic bk.)
3658331690
9783658331696
DOI https://doi.org/10.1007/978-3-658-33170-2
Published Wiesbaden : Springer Spektrum, 2021.
Language English
Description 1 online resource
Item Number 10.1007/978-3-658-33170-2 doi
Call Number HF5416.5
Dewey Decimal Classification 658.8/16
Summary Anja Schedel analyzes two models in the field of algorithmic game theory which both constitute bilevel problems in networks. The first model is a game-theoretic variant of the well-known Steiner forest problem, and one is interested in an optimal sharing of the cost of the Steiner forest. The author provides (and partially exactly characterizes) network structures which allow for cost-minimal pure Nash equilibria. The second model is motivated from privatized public roads, in which private, selfishly acting firms build roads, and as compensation for their investment, are allowed to set prices for using the roads. For a basic model of this situation, the author shows existence and uniqueness of pure Nash equilibria. The existence result requires a non-standard proof approach since techniques like Kakutani's fixed point theorem cannot be applied directly.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 19, 2021).
Series Mathematische Optimierung und Wirschaftsmathematik.
Available in Other Form Cost sharing, capacity investment and pricing in networks.
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Introduction
Preliminaries
Cost Sharing in Networks
Capacity and Price Competition in Networks
Conclusion.

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