001437751 000__ 03125cam\a2200565\i\4500 001437751 001__ 1437751 001437751 003__ OCoLC 001437751 005__ 20230309004231.0 001437751 006__ m\\\\\o\\d\\\\\\\\ 001437751 007__ cr\un\nnnunnun 001437751 008__ 210702s2021\\\\gw\\\\\\ob\\\\000\0\eng\d 001437751 019__ $$a1260344734 001437751 020__ $$a9783658331702$$q(electronic bk.) 001437751 020__ $$a3658331704$$q(electronic bk.) 001437751 020__ $$z3658331690 001437751 020__ $$z9783658331696 001437751 0247_ $$a10.1007/978-3-658-33170-2$$2doi 001437751 035__ $$aSP(OCoLC)1258652233 001437751 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dNOC$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ 001437751 049__ $$aISEA 001437751 050_4 $$aHF5416.5 001437751 08204 $$a658.8/16$$223 001437751 1001_ $$aSchedel, Anja,$$eauthor. 001437751 24510 $$aCost sharing, capacity investment and pricing in networks /$$cAnja Schedel. 001437751 264_1 $$aWiesbaden :$$bSpringer Spektrum,$$c2021. 001437751 300__ $$a1 online resource 001437751 336__ $$atext$$btxt$$2rdacontent 001437751 337__ $$acomputer$$bc$$2rdamedia 001437751 338__ $$aonline resource$$bcr$$2rdacarrier 001437751 4901_ $$aMathematische Optimierung und Wirschaftsmathematik. Mathematical optimization and economathematics 001437751 504__ $$aIncludes bibliographical references. 001437751 5050_ $$aIntroduction -- Preliminaries -- Cost Sharing in Networks -- Capacity and Price Competition in Networks -- Conclusion. 001437751 506__ $$aAccess limited to authorized users. 001437751 520__ $$aAnja Schedel analyzes two models in the field of algorithmic game theory which both constitute bilevel problems in networks. The first model is a game-theoretic variant of the well-known Steiner forest problem, and one is interested in an optimal sharing of the cost of the Steiner forest. The author provides (and partially exactly characterizes) network structures which allow for cost-minimal pure Nash equilibria. The second model is motivated from privatized public roads, in which private, selfishly acting firms build roads, and as compensation for their investment, are allowed to set prices for using the roads. For a basic model of this situation, the author shows existence and uniqueness of pure Nash equilibria. The existence result requires a non-standard proof approach since techniques like Kakutani's fixed point theorem cannot be applied directly. 001437751 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 19, 2021). 001437751 650_0 $$aPricing$$xMathematical models. 001437751 650_0 $$aCost accounting. 001437751 650_0 $$aGame theory. 001437751 650_6 $$aPrix$$xFixation$$xModèles mathématiques. 001437751 650_6 $$aComptabilité analytique. 001437751 650_6 $$aThéorie des jeux. 001437751 655_0 $$aElectronic books. 001437751 77608 $$iPrint version:$$aSchedel, Anja.$$tCost sharing, capacity investment and pricing in networks.$$dWiesbaden : Springer Spektrum, 2021$$z3658331690$$z9783658331696$$w(OCoLC)1231957730 001437751 830_0 $$aMathematische Optimierung und Wirschaftsmathematik. 001437751 852__ $$bebk 001437751 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-658-33170-2$$zOnline Access$$91397441.1 001437751 909CO $$ooai:library.usi.edu:1437751$$pGLOBAL_SET 001437751 980__ $$aBIB 001437751 980__ $$aEBOOK 001437751 982__ $$aEbook 001437751 983__ $$aOnline 001437751 994__ $$a92$$bISE