03281nam 2200553 450 99646641540331620230427141354.03-658-33170-4(CKB)5590000000517981(MiAaPQ)EBC6676289(Au-PeEL)EBL6676289(OCoLC)1260344734(PPN)258872683(EXLCZ)99559000000051798120220326d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCost sharing, capacity investment and pricing in networks /Anja SchedelWiesbaden, Germany :Springer Spektrum,[2021]©20211 online resource (241 pages)Mathematische Optimierung und Wirtschaftsmathematik3-658-33169-0 Includes bibliographical references.Intro -- Acknowledgements -- Contents -- 1 Introduction -- [DELETE] -- 1.1 Cost Sharing in Networks -- 1.2 Capacity and Price Competition in Networks -- 1.3 Thesis Organization -- 2 Preliminaries -- [DELETE] -- 2.1 Graphs -- 2.2 Games -- 2.3 Correspondences -- 3 Cost Sharing in Networks -- 3.1 Introduction -- 3.1.1 Problem Description -- 3.1.2 Main Results and Proof Techniques -- 3.1.3 Discussion of the Model and Related Work -- 3.2 An LP-Characterization of Enforceability -- 3.3 Results for Two Player Games -- 3.3.1 Connection to Steiner forests -- 3.3.2 The Set of Bad Configurations and some Intuition -- 3.3.3 Proof Sketch of Theorem[theoremrobust]3.3.1 -- 3.3.4 ([Thm3.3.1.3]3) implies ([Thm3.3.1.1]1) of Theorem[theoremrobust]3.3.1 -- 3.3.5 ([Thm3.3.1.1]1) implies ([Thm3.3.1.2]2) of Theorem[theoremrobust]3.3.1 -- 3.3.6 Discussion of the Result -- 3.4 Results for n-Player Games -- 3.4.1 The Algorithm n-SePa -- 3.4.2 Analysis of Algorithm n-SePa -- 3.4.3 Main Results -- 3.4.4 Discussion of the Results -- 3.5 Bibliographic Notes -- 4 Capacity and Price Competition in Networks -- 4.1 Introduction -- 4.1.1 Problem Description -- 4.1.2 Main Results and Proof Techniques -- 4.1.3 Discussion of the Model and Related Work -- 4.2 Continuity of Profit Functions -- 4.3 Characterization of Best Responses -- 4.3.1 The Case z-i=0 -- 4.3.2 The Case z-ineq0 -- 4.3.3 The Characterization -- 4.3.4 Discussion -- 4.4 Existence of Equilibria -- 4.5 Uniqueness of Equilibria -- 4.6 Quality of Equilibria -- 4.7 Bibliographic Notes -- 5 Conclusion -- [DELETE] -- Bibliography -- Bibliography.Mathematische Optimierung und Wirtschaftsmathematik.PricingMathematical modelsPreusthubModels matemàticsthubComptabilitat de costosthubTeoria de jocsthubLlibres electrònicsthubPricingMathematical models.PreusModels matemàticsComptabilitat de costosTeoria de jocs332.415Schedel Anja909922MiAaPQMiAaPQMiAaPQBOOK996466415403316Cost Sharing, Capacity Investment and Pricing in Networks2036189UNISA