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http://hdl.handle.net/10419/43816
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| Title: | | Convexity and complementarity in network formation: Implications for the structure of pairwise stable networks  |
| Authors: | | Hellmann, Tim |
| Issue Date: | | 2009 |
| Series/Report no.: | | Working papers // Institute of Mathematical Economics 423 |
| Abstract: | | This 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. |
| Subjects: | | Networks Network formation Game theory Supermodularity Increasing differences Stability Existence Uniqueness |
| JEL: | | D85 C72 L14 |
| Persistent Identifier of the first edition: | | urn:nbn:de:hbz:361-15973 |
| Document Type: | | Working Paper |
| Appears in Collections: | | Working Papers, Institute of Mathematical Economics, Universität Bielefeld
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