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Field name	Details
Dewey Class	519.6
Title	Cost Sharing, Capacity Investment and Pricing in Networks ([EBook] /) / by Anja Schedel.
Author	Schedel, Anja
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Wiesbaden : : Springer Fachmedien Wiesbaden : : Imprint: Springer Spektrum, , 2021.
Physical Details	VIII, 236 p. 94 illus. : online resource.
Series	Mathematische Optimierung und Wirtschaftsmathematik : Mathematical Optimization and Economathematics 2523-7934
ISBN	9783658331702
Summary Note	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. Die Autorin Anja Schedel received her PhD from the University of Augsburg in Germany. She is currently working as a postdoctoral researcher at the University of Augsburg. Her main research interests lie within the field of algorithmic game theory and include, in particular, cost sharing, bilevel optimization, and flows over time.:
Contents note	Introduction -- Preliminaries -- Cost Sharing in Networks -- Capacity and Price Competition in Networks -- Conclusion.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-658-33170-2
Links to Related Works	Subject References: Algorithms . Applications of Mathematics . Continuous Optimization . Mathematical optimization . Mathematics . Authors: author . Schedel, Anja . Corporate Authors: SpringerLink (Online service) . Series: Mathematische Optimierung und Wirtschaftsmathematik : Mathematical Optimization and Economathematics . Classification: 519.6 .

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Cost Sharing, Capacity Investment and Pricing in Networks

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