A Model of Robust Positions in Social Networks

American Journal of Sociology, Forthcoming

70 Pages Posted: 22 Jul 2010 Last revised: 14 Jul 2011

Date Written: July 21, 2010

Abstract

What makes an actor’s position in social structure robust rather than fragile? This article introduces a network model that pictures occupants of robust positions as recipients of diversified support from durably located others, and portrays occupants of fragile positions as dependents on tenuously situated others. The model builds from Herfindahl’s measure of concentration and Bonacich’s (1987) measure of status. Using Newcomb’s panel study of status-conferring flows among members of a college fraternity, we find empirical support for the contention that fragility reduces future growth in status. Extensions of the model both to input-output networks among industries in the U.S. economy and to hiring networks among academic departments are presented. Implications for future research are discussed.

Keywords: Networks, Status, Robust

Suggested Citation

Bothner, Matthew and White, Harrison C. and Smith, Edward Bishop, A Model of Robust Positions in Social Networks (July 21, 2010). American Journal of Sociology, Forthcoming, Available at SSRN: https://ssrn.com/abstract=1646446

Matthew Bothner

ESMT European School of Management and Technology ( email )

Schlossplatz 1
10117 Berlin
Germany

Harrison C. White

Columbia University ( email )

3022 Broadway
New York, NY 10027
United States

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