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dc.contributor.authorHellmann, Timen_US
dc.date.accessioned2010-11-26en_US
dc.date.accessioned2011-01-24T10:23:41Z-
dc.date.available2011-01-24T10:23:41Z-
dc.date.issued2009en_US
dc.identifier.piurn:nbn:de:hbz:361-15973en_US
dc.identifier.urihttp://hdl.handle.net/10419/43816-
dc.description.abstractThis paper studies the properties of convexity (concavity) and strategic complements (substitutes) in network formation and the implications for the structure of pairwise stable networks. First, different definitions of convexity (concavity) in own links from the literature are put into the context of diminishing marginal utility of own links. Second, it is shown that there always exists a pairwise stable network as long as the utility function of each player satisfies convexity in own links and strategic complements. For network societies with a profile of utility functions satisfying concavity in own links and strategic complements, a local uniqueness property of pairwise stable networks is derived. The results do neither require any specification on the utility function nor any other additional assumptions such as homogeneity.en_US
dc.language.isoengen_US
dc.publisherInst. of Mathematical Economics, IMW Bielefelden_US
dc.relation.ispartofseriesWorking papers // Institute of Mathematical Economics 423en_US
dc.subject.jelD85en_US
dc.subject.jelC72en_US
dc.subject.jelL14en_US
dc.subject.ddc330en_US
dc.subject.keywordNetworksen_US
dc.subject.keywordNetwork formationen_US
dc.subject.keywordGame theoryen_US
dc.subject.keywordSupermodularityen_US
dc.subject.keywordIncreasing differencesen_US
dc.subject.keywordStabilityen_US
dc.subject.keywordExistenceen_US
dc.subject.keywordUniquenessen_US
dc.subject.stwSoziales Netzwerken_US
dc.subject.stwNutzenfunktionen_US
dc.subject.stwSpieltheorieen_US
dc.subject.stwGleichgewichtsstabilitäten_US
dc.subject.stwTheorieen_US
dc.titleConvexity and complementarity in network formation: Implications for the structure of pairwise stable networksen_US
dc.typeWorking Paperen_US
dc.identifier.ppn616891741en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen_US
Appears in Collections:Working Papers, Center for Mathematical Economics (IMW), Bielefeld University

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