The Evolution of Social and Economic Networks
We examine the dynamic formation and stochastic evolution of networks connecting individuals whose payoffs from an economic or social activity depends on the network structure in place. Over time, individuals form and sever links connecting themselves to other individuals based on the improvement the resulting network offers them relative to the current network. Such a process creates a sequence of networks that we call an 'improving path'. The changes made along an improving path make the individuals, who added or deleted the relevant link(s) at each date, better off. Such sequences of networks can cycle, and we study conditions on underlying allocation rules that characterize cycles. Building on an understanding of improving paths, we consider a stochastic evolutionary process where in addition to intended changes in the network there is a small probability of unintended changes or errors. Predictions can be made regarding the relative likelihood that the stochastic evolutionary process will lead to any given network at some time. The evolutionary process selects from among the statically stable networks and cycles. We show that in some cases, the evolutionary process selects inefficient networks even though eÆcient ones are statically stable. We apply these results to the matching literature to show that there are contexts in which the evolutionarily stable networks coincide with the core stable networks, and thus achieve eÆciency.
|Date of creation:||Sep 1998|
|Date of revision:|
|Publication status:||Published: Journal of Economic Theory, 2002, vol. 106, no. 2, pg. 265-295|
|Contact details of provider:|| Postal: |
Phone: 626 395-4065
Fax: 626 405-9841
Web page: http://www.hss.caltech.edu/ss
|Order Information:|| Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125|
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- Matthew O. Jackson & Bhaskar Dutta, 2000. "original papers : The stability and efficiency of directed communication networks," Review of Economic Design, Springer, vol. 5(3), pages 251-272.
- J Bergin & B L Lipman, 1997.
"Evolution with state-dependent Mutations,"
Levine's Working Paper Archive
771, David K. Levine.
- J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
- James Bergin & B. L. Lipman, 1994. "Evolution with state-dependent mutations," Working Papers 199411, School of Economics, University College Dublin.
- BERGIN, James & LIPMAN, Bart, 1994. "Evolution with State-Dependent Mutations," CORE Discussion Papers 1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Slikker, Marco & van den Nouweland, Anne, 2001.
"A One-Stage Model of Link Formation and Payoff Division,"
Games and Economic Behavior,
Elsevier, vol. 34(1), pages 153-175, January.
- Slikker, M. & van den Nouweland, C.G.A.M., 1997. "A One-Stage Model of Link Formation and Payoff Division," Discussion Paper 1997-23, Tilburg University, Center for Economic Research.
- Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
- Edward E. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995.
"Crime and Social Interactions,"
Harvard Institute of Economic Research Working Papers
1738, Harvard - Institute of Economic Research.
- Tesfatsion, Leigh, 1997.
"A Trade Network Game with Endogenous Partner Selection,"
Staff General Research Papers
1680, Iowa State University, Department of Economics.
- Leigh TESFATSION, 1995. "A Trade Network Game With Endogenous Partner Selection," Economic Report 36, Iowa State University Department of Economics.
- Topa, Giorgio, 2001.
"Social Interactions, Local Spillovers and Unemployment,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(2), pages 261-95, April.
- Topa, Giorgio, 1997. "Social Interactions, Local Spillovers and Unemployment," Working Papers 97-17, C.V. Starr Center for Applied Economics, New York University.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993.
"Learning, Mutation, and Long Run Equilibria in Games,"
Econometric Society, vol. 61(1), pages 29-56, January.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Dutta, Bhaskar & Mutuswami, Suresh, 1997.
Journal of Economic Theory,
Elsevier, vol. 76(2), pages 322-344, October.
- Jeffrey C. Ely, 2002. "Local Conventions," Discussion Papers 1349, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Ritzberger, Klaus & Weibull, Jorgen W, 1995.
"Evolutionary Selection in Normal-Form Games,"
Econometric Society, vol. 63(6), pages 1371-99, November.
- Glen Ellison, 2010.
"Learning, Local Interaction, and Coordination,"
Levine's Working Paper Archive
391, David K. Levine.
- Jeffrey Ely, 2010. "Local Conventions," Levine's Working Paper Archive 492, David K. Levine.
- Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer, vol. 21(1), pages 27-39.
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- Maxfield, Robert R., 1997. "General equilibrium and the theory of directed graphs," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 23-51, February.
- Matthew O. Jackson & Asher Wolinsky, 1995.
"A Strategic Model of Social and Economic Networks,"
1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- A. Banerjee & Drew Fudenberg, 2010.
"Word-of-Mouth Communication and Social Learning,"
Levine's Working Paper Archive
425, David K. Levine.
- Weisbuch, Gerard & Alan Kirman & Dorothea K. Herreiner, 1996.
Discussion Paper Serie B
391, University of Bonn, Germany.
- Peyton Young & Dean Foster, 2010. "Cooperation in the Short and in the Long Run," Levine's Working Paper Archive 494, David K. Levine.
- Kirman, Alan P & Oddou, Claude & Weber, Shlomo, 1986. "Stochastic Communication and Coalition Formation," Econometrica, Econometric Society, vol. 54(1), pages 129-38, January.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
- Ely Jeffrey C, 2002. "Local Conventions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-32, May.
- Gerard Weisbuch & Alain Kirman & EHESS, . "Market Organizations for Perishable Goods," Computing in Economics and Finance 1997 60, Society for Computational Economics.
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