***** To join INSNA, visit http://www.insna.org ***** Hello! I could only give you some examples of theories of network stability from the point of view a certain theoretical concepualizations of dynamically changing social structure (which perhaps fall outside of what you're looking). Network exchange theory is a first possibility (although I cannot think of a single general reference which is explicitly treating stability). But in the more specific context of E-states model, I could recommend: Skvoretz, J., Faust, K, & Fararo, T.J. (1997). Social structure, networks, and E-state structuralism models. In P. Doreian & F.N. Stokman (eds.), "Evolution of Social Networks", pp. 73-92. Amsterdam: Gordon & Breach. Of course, this is just an example of Skvoretz work: he and his coworkers have written much more. For example, some recent work has been done by T. Burkett: Burkett, T. (1997). Cencorship in the United States Senate: A network analysis of senate communication and leadership, 1973-1990. Unpublished Ph.D. thesis. University of South Carolina. Burkett, T., & Skvoretz, J. (2001). Political support networks among US senators: Stability and change from 1973 to 1990. The other suggestions I can make are related to game theory and economic reasoning of social networks. The basic definition of stochastic stability is explained analytically in the book: Young, H.P. (1998). Individual Strategy and Social Structure. An Evolutionary Theory of Institutions. Princeton, NJ: Princeton University Press: Some works related to such game-theoretic notions of network stability are: Bala, V., & Goyal, S. (2000). A nooncooperative model of network formation. Econometrica, vol. 68, no. 5, pp. 1181-1229. Skyrms, B., & Pemantle, R. (2000). A dynamic model of social network formation. Proceedings of the National Academy of Sciences, vol. 97, no. 16, pp. 9340-9346. Pemantle, R., & Skyrms, B. (2004). Network formation by reinforcement learning: The long and medium run. Mathematical Social Sciences, vol. 48, pp. 315-327. Jackson, M.O., & Watts, A. (2002). On the formation of interaction networks in social coordination games. Games & Economic Behavior, vol. 41, pp. 265-291. Finally, although not explicitly related to stability, I would mention the following works too (which are in the context of interacting particle systems): Bonacich, P. , & Liggett, T.M. (2003). Asymptotics of a matrix valued Markov chain arising in sociology. Stochastic Processes & their Applications, vol. 104, no. 1, pp. 155-171. Liggett, T.M., & Rolles, S.W.W. (2004). An infinite stochastic model of social network formation. Stochastic Processes & their Applications, vol. 113, pp. 65-80. I understand that I might not have been too much helpful in terms of what exactly you're looking for but I've tried to quote relevant theoretical work from which an insight to more practical issues might be drawn. Best, --Moses M.A. Boudourides Associate Professor Department of Mathematics University of Patras 265 00 Rio-Patras Greece Tel.: +30-2610-996318 Fax: +30-2610-996318, +30-2610-992965 http://www.math.upatras.gr/~mboudour On Thu, 17 Feb 2005, Corey Phelps wrote: > ***** To join INSNA, visit http://www.insna.org ***** > > I am looking for studies that have examined how the stability of > networks influence the behavior of their members. I am particularly > interested in research that has looked at the aggregate durability of > ego's ties on ego's behavior and performance. For example, it strikes me > that the structural holes and network closure arguments of social > capital make implicit assumptions regarding the length of time the ties > in ego's network have existed. Will the ties in a newly formed (ego) > network have the same information diffusion properties of a > long-existing network and thus give rise to the same degree of > deterrence-based trust? How might the addition of a new dyad (or triad) > to a network alter the dynamics of the whole network? These are the > sorts of questions for which I am looking for answers. I would > appreciate any suggestions on potentially relevant studies. I will post > a summary of responses for the list. Thanks in advance. > > > Corey Phelps > Asst. Professor, Management & Organization > University of Washington Business School > Box 353200 > Seattle, WA 98195 > ph. 206-543-6579 > > _____________________________________________________________________ > SOCNET is a service of INSNA, the professional association for social > network researchers (http://www.insna.org). To unsubscribe, send > an email message to [log in to unmask] containing the line > UNSUBSCRIBE SOCNET in the body of the message. > _____________________________________________________________________ SOCNET is a service of INSNA, the professional association for social network researchers (http://www.insna.org). To unsubscribe, send an email message to [log in to unmask] containing the line UNSUBSCRIBE SOCNET in the body of the message.