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010   $a3-658-33170-4
024 7 $a10.1007/978-3-658-33170-2
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035   $a(MiAaPQ)EBC6676289
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035   $a(OCoLC)1260344734
035   $a(PPN)258872683
035   $a(DE-He213)978-3-658-33170-2
035   $a(EXLCZ)995590000000517981
100   $a20210628d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aCost Sharing, Capacity Investment and Pricing in Networks /$fby Anja Schedel
205   $a1st ed. 2021.
210  1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2021.
215   $a1 online resource (241 pages)
225 1 $aMathematische Optimierung und Wirtschaftsmathematik / Mathematical Optimization and Economathematics,$x2523-7934
311 08$a3-658-33169-0 
320   $aIncludes bibliographical references.
327   $aIntroduction -- Preliminaries -- Cost Sharing in Networks -- Capacity and Price Competition in Networks -- Conclusion.
330   $aAnja Schedel analyzes two models in the field of algorithmic game theory which both constitute bilevel problems in networks. The first model is a game-theoretic variant of the well-known Steiner forest problem, and one is interested in an optimal sharing of the cost of the Steiner forest. The author provides (and partially exactly characterizes) network structures which allow for cost-minimal pure Nash equilibria. The second model is motivated from privatized public roads, in which private, selfishly acting firms build roads, and as compensation for their investment, are allowed to set prices for using the roads. For a basic model of this situation, the author shows existence and uniqueness of pure Nash equilibria. The existence result requires a non-standard proof approach since techniques like Kakutani?s fixed point theorem cannot be applied directly. Die Autorin Anja Schedel received her PhD from the University of Augsburg in Germany. She is currently working as a postdoctoral researcher at the University of Augsburg. Her main research interests lie within the field of algorithmic game theory and include, in particular, cost sharing, bilevel optimization, and flows over time.
410  0$aMathematische Optimierung und Wirtschaftsmathematik / Mathematical Optimization and Economathematics,$x2523-7934
606   $aMathematical optimization
606   $aAlgorithms
606   $aMathematics
606   $aContinuous Optimization
606   $aAlgorithms
606   $aApplications of Mathematics
615  0$aMathematical optimization.
615  0$aAlgorithms.
615  0$aMathematics.
615 14$aContinuous Optimization.
615 24$aAlgorithms.
615 24$aApplications of Mathematics.
676   $a332.415
700   $aSchedel$b Anja$0909922
801  0$bMiAaPQ
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906   $aBOOK
912   $a9910488693003321
996   $aCost Sharing, Capacity Investment and Pricing in Networks$92036189
997   $aUNINA