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Cost sharing, capacity investment an...

Schedel, Anja.

Cost sharing, capacity investment and pricing in networks

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cost sharing, capacity investment and pricing in networksby Anja Schedel.
Author:	Schedel, Anja.
Published:	Wiesbaden :Springer Fachmedien Wiesbaden :2021.
Description:	viii, 236 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	PricingMathematical models.
Online resource:	https://doi.org/10.1007/978-3-658-33170-2
ISBN:	9783658331702$q(electronic bk.)

Cost sharing, capacity investment and pricing in networks
Schedel, Anja.

Cost sharing, capacity investment and pricing in networks[electronic resource] /by Anja Schedel. - Wiesbaden :Springer Fachmedien Wiesbaden :2021. - viii, 236 p. :ill., digital ;24 cm. - Mathematische optimierung und wirtschaftsmathematik =2523-7926. - Mathematische optimierung und wirtschaftsmathematik =.

Introduction -- Preliminaries -- Cost Sharing in Networks -- Capacity and Price Competition in Networks -- Conclusion.

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.

ISBN: 9783658331702$q(electronic bk.)

Standard No.: 10.1007/978-3-658-33170-2doiSubjects--Topical Terms:

310864
Pricing
--Mathematical models.

LC Class. No.: HF5416.5

Dewey Class. No.: 658.816

Cost sharing, capacity investment and pricing in networks
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505 0 $a Introduction -- Preliminaries -- Cost Sharing in Networks -- Capacity and Price Competition in Networks -- Conclusion.
520 $a 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.
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