Evolution of Conventions in Endogenous Social Networks
AbstractWe analyze the dynamic implications of learning in a large population coordination game where both the actions of the players and the communication network between these players evolve over time. We depart from the conventional models in assuming that the interaction network itself is subject to evolutionary pressure. Cost considerations of social interaction are incorporated by application of a circular model in which all players are located at equal distances along a circle. Although the locations of the players are fixed they can create their own interaction neighborhood by forming and severing links with other players. The spatial structure of the model is then used to determine the costs of establishing a communication link between a pair of players. Namely, we assume that the larger the distance between two players on the circle, the larger the maintenance costs of the mutual link will be. As maintenance costs include invested time and effort, distance should not only be interpreted as physical distance but may also represent social distance. We follow standard evolutionary game theoretic practice to determine the equilibria in this setting. The resulting equilibrium represents the players' medium run behavior if perturbations representing players' mistakes are absent. We find that in this medium run case, the dynamic process converges to an absorbing state. These absorbing states include ones in which there emerge local conventions, i.e., fully connected neighborhoods of players who coordinate on the same strategy. In the ultralong run, i.e., when perturbations representing players' mistakes are taken into account, coexistence of conventions is no longer possible. We show that the risk-dominant convention is the unique stochastically stable convention, meaning that it will be observed almost surely when the mistake probabilities are small but nonvanishing. This confirms the insights obtained in Ellison (1993) for fixed spatial interaction structures.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 0594.
Date of creation: 01 Aug 2000
Date of revision:
Contact details of provider:
Phone: 1 212 998 3820
Fax: 1 212 995 4487
Web page: http://www.econometricsociety.org/pastmeetings.asp
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Goyal, Sanjeev & Janssen, Maarten C. W., 1997. "Non-Exclusive Conventions and Social Coordination," Journal of Economic Theory, Elsevier, vol. 77(1), pages 34-57, November.
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
- Matthew O. Jackson & Asher Wolinsky, 1994.
"A Strategic Model of Social and Economic Networks,"
1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Anderlini, Luca & Ianni, Antonella, 1996.
"Path Dependence and Learning from Neighbors,"
Games and Economic Behavior,
Elsevier, vol. 13(2), pages 141-177, April.
- Bhaskar, V. & Vega-Redondo, Fernando, 2004.
"Migration and the evolution of conventions,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 55(3), pages 397-418, November.
- Bhaskar, V & Vega-Redondo, F, 1996. "Migration and the Evolution of Conventions," UFAE and IAE Working Papers 354.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Fernando Vega Redondo & Ventakamaran Bhaskar, 1996. "Migration and the evolution of conventions," Working Papers. Serie AD 1996-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- George J. Mailath & Larry Samuelson & Avner Shaked, 1997. "Endogenous Interactions," CARESS Working Papres endo-one, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Damme, E.E.C. van & Weibull, J., 1998.
"Evolution with Mutations Driven by Control Costs,"
1998-94, Tilburg University, Center for Economic Research.
- Eric Van Damme & Jorgen W Weibull, 1999. "Evolution with Mutations Driven by Control Costs," Levine's Working Paper Archive 2113, David K. Levine.
- Weibull, Jörgen W. & van Damme, Eric, 1998. "Evolution with Mutations Driven by Control Costs," Working Paper Series 501, Research Institute of Industrial Economics.
- Kandori, M. & Mailath, G.J., 1991.
"Learning, Mutation, And Long Run Equilibria In Games,"
71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, 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.
- J. Bergin & B. Lipman, 2010.
"Evolution with State-Dependent Mutations,"
Levine's Working Paper Archive
486, David K. Levine.
- 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).
- J Bergin & B L Lipman, 1997. "Evolution with state-dependent Mutations," Levine's Working Paper Archive 771, David K. Levine.
- Ellison, Glenn, 1993.
"Learning, Local Interaction, and Coordination,"
Econometric Society, vol. 61(5), pages 1047-71, September.
- repec:att:wimass:9324 is not listed on IDEAS
- Fagiolo, Giorgio, 2005. "Endogenous neighborhood formation in a local coordination model with negative network externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 297-319, January.
- Miguel A. Meléndez-Jiménez, 2007. "A Bargaining Approach To Coordination In Networks," Working Papers. Serie AD 2007-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Giorgio Fagiolo & Luigi Marengo & Marco Valente, 2004.
"Endogenous Networks In Random Population Games,"
Mathematical Population Studies,
Taylor & Francis Journals, vol. 11(2), pages 121-147.
- Giorgio Fagiolo & Luigi Marengo & Marco Valente, . "Endogenous Networks in Random Population Games," Modeling, Computing, and Mastering Complexity 2003 05, Society for Computational Economics.
- Marco Valente & Giorgio Fagiolo & Luigi Marengo, 2003. "Endogenous Networks in Random Population Games," Computing in Economics and Finance 2003 68, Society for Computational Economics.
- Giorgio Fagiolo & Luigi Marengo & Marco Valente, 2003. "Endogenous Networks in Random Population Games," LEM Papers Series 2003/03, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Michael Kosfeld, . "Network Experiments," IEW - Working Papers 152, Institute for Empirical Research in Economics - University of Zurich.
- A. Arrighetti & S. Curatolo, 2010. "Costi di coordinamento e vantaggi di aggregazione: esiti, morfologia e processi di interazione in un mondo artificiale multi-agente," Economics Department Working Papers 2010-EP01, Department of Economics, Parma University (Italy).
- Matthew O. Jackson, 2003.
"A survey of models of network formation: Stability and efficiency,"
1161, California Institute of Technology, Division of the Humanities and Social Sciences.
- Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, EconWPA.
- Giorgio Fagiolo, 2001.
"Coordination, Local Interactions and Endogenous Neighborhood Formation,"
LEM Papers Series
2001/15, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Giorgio Fagiolo, 2002. "Coordination, Local Interactions, and Endogenous Neighborhood Formation," Computing in Economics and Finance 2002 98, Society for Computational Economics.
- Jackson, Matthew O. & Calvo, Antoni, 2002.
"Social Networks in Determing Employment and Wages: Patterns, Dynamics, and Inequality,"
1149, California Institute of Technology, Division of the Humanities and Social Sciences.
- Antoni Calvo-Armengol & Matthew O. Jackson, 2002. "Social Networks in Determining Employment and Wages: Patterns, Dynamics, and Inequality," Microeconomics 0211007, EconWPA.
- Giorgio Fagiolo & Luigi Marengo & Marco Valente, 2005. "Population Learning in a Model with Random Payoff Landscapes and Endogenous Networks," Computational Economics, Society for Computational Economics, vol. 24(4), pages 383-408, June.
- Matthew O. Jackson & Alison Watts, 2000.
"On the Formation of Interaction Networks in Social Coordination Games,"
Econometric Society World Congress 2000 Contributed Papers
0778, Econometric Society.
- Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
- Matthew O. Jackson, 2002. "The Stability and Efficiency of Economic and Social Networks," Microeconomics 0211011, EconWPA.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.