Social Networks and the Convergence of Population Attributes: A Generalization
AbstractAnalysis of social interactions has recently become an important area of economic research, and the focus of researchers in this area has increasingly shifted toward dynamic models. In one recent contribution, Brueckner and Smirnov (2006) analyze the evolution of population attributes in an exceedingly simple model where an agentâ€™s attributes at time t are equal to the average attribute value among his acquaintances. The pattern of acquaintances in the population is determined by the social network, and Brueckner and Smirnov (BS) explore the effect of network characteristics on the convergence of population attributes over time. They show that some simple sufficient conditions on the network structure ensure convergence to a â€œmelting-potâ€ equilibrium, where attributes are uniform across agents. The present paper provides a generalization of BSâ€™s analysis, allowing for a more general form of the rule governing the evolution of population attributes. The analysis shows that BSâ€™s previous conclusions continue to hold under this generalization, while also providing a result that can be applied more generally to other models.
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Bibliographic InfoPaper provided by University of California-Irvine, Department of Economics in its series Working Papers with number 050630.
Length: 9 pages
Date of creation: May 2006
Date of revision:
Other versions of this item:
- Jan K. Brueckner & Oleg Smirnov, 2008. "Social Networks And The Convergence Of Population Attributes: A Generalization," Journal of Regional Science, Wiley Blackwell, vol. 48(2), pages 359-365.
- NEP-ALL-2006-09-03 (All new papers)
- NEP-NET-2006-09-03 (Network Economics)
- NEP-SOC-2006-09-03 (Social Norms & Social Capital)
- NEP-URE-2006-09-03 (Urban & Real Estate Economics)
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