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Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics
cover

Cost Sharing, Capacity Investment and Pricing in Networks

Authors: Schedel, Anja

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eBook 50,28 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: June 8, 2021
  • ISBN 978-3-658-33170-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 62,39 €
price for Spain (gross)
  • Due: June 8, 2021
  • ISBN 978-3-658-33169-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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. 

 


About the authors

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.

Buy this book

eBook 50,28 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: June 8, 2021
  • ISBN 978-3-658-33170-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 62,39 €
price for Spain (gross)
  • Due: June 8, 2021
  • ISBN 978-3-658-33169-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Cost Sharing, Capacity Investment and Pricing in Networks
Authors
Series Title
Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics
Copyright
2021
Publisher
Springer Spektrum
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Fachmedien Wiesbaden GmbH, part of Springer Nature
eBook ISBN
978-3-658-33170-2
DOI
10.1007/978-3-658-33170-2
Softcover ISBN
978-3-658-33169-6
Series ISSN
2523-7926
Edition Number
1
Number of Pages
VII, 236
Number of Illustrations
90 b/w illustrations, 4 illustrations in colour
Topics