|
EconStor >
Verein für Socialpolitik >
Jahrestagung des Vereins für Socialpolitik 2010 (Kiel): Ökonomie der Familie >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10419/37194
|
| | |
| Title: | | Convexity and Complementarity in Network Formation: Implications for the Structure of Pairwise Stable Networks  |
| Authors: | | Hellmann, Tim |
| Issue Date: | | 2010 |
| Series/Report no.: | | Beiträge zur Jahrestagung des Vereins für Socialpolitik 2010: Ökonomie der Familie - Session: Oligopolistic Competition and Network Formation F9-V3 |
| 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: | | A14 D20 C72 |
| Document Type: | | Conference Paper |
| Appears in Collections: | | Jahrestagung des Vereins für Socialpolitik 2010 (Kiel): Ökonomie der Familie
|
| Files in This Item:
| |
|
| No. of Downloads:
| |
| last Month |
last 3 Month |
total |
|
|
|
|
|
| |
| | |
Download bibliographical data as:
BibTeX
|
| |
Share on:http://hdl.handle.net/10419/37194
|
Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.
|