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Topologies of social interactions

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  • Yannis Ioannides

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Abstract

The paper extends the Brock-Durlauf social interactions model to richer social structures modelled with arbitrary interaction topologies and examines in detail the star, the wheel and the path. It explores Nash equilibria when agents act on the basis of expectations over, and, alternatively, actual knowledge their neighbors’ decisions. It links social interactions with econometrics of systems of simultaneous equations. The local dynamics near steady states combine spectral properties of the adjacency matrix and of the nonlinearities of reaction functions. For regular interaction topologies, adjustment exhibit relative persistence. Cyclical interaction is associated with endogenous spatial oscillations and islands of conformity. Copyright Springer-Verlag Berlin/Heidelberg 2006

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 28 (2006)
Issue (Month): 3 (08)
Pages: 559-584

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Handle: RePEc:spr:joecth:v:28:y:2006:i:3:p:559-584

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Related research

Keywords: Social interactions; Dynamics; Spatial oscillations; Interactive discrete choice; Neighborhood effects; Ising model; Random fields; Random networks.;

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Cited by:
  1. Grajzl, Peter & Baniak, Andrzej, 2012. "Mandating behavioral conformity in social groups with conformist members," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 479-493.
  2. 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.
  3. Glaser, Darrell J., 2009. "Teenage dropouts and drug use: Does the specification of peer group structure matter?," Economics of Education Review, Elsevier, vol. 28(4), pages 497-504, August.
  4. Chincarini, Ludwig & Asherie, Neer, 2008. "An analytical model for the formation of economic clusters," Regional Science and Urban Economics, Elsevier, vol. 38(3), pages 252-270, May.
  5. Evstigneev, Igor & Taksar, Michael, 2009. "Dynamic interaction models of economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 166-182, January.
  6. Hennessy, David A. & Lapan, Harvey E., 2009. "Harmonic symmetries of imperfect competition on circular city," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 124-146, January.
  7. Schütz, Gunter M. & de Almeida Prado, Fernando Pigeard & Harris, Rosemary J. & Belitsky, Vladimir, 2009. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4126-4144.
  8. Drusilla K. Brown & Rajesh Chadha & Alan V. Deardorff & Robert M. Stern, 2001. "Computational Analysis of the Impact on India of the Uruguay Round and the Forthcoming WTO Trade Negotiations," Discussion Papers Series, Department of Economics, Tufts University 0107, Department of Economics, Tufts University.
  9. Yannis M. Ioannides, 2003. "Complexity and Organizational Architecture," Discussion Papers Series, Department of Economics, Tufts University 0313, Department of Economics, Tufts University.
  10. Opolot, Daniel & Azomahou, Theophile, 2012. "Learning and convergence in networks," MERIT Working Papers 074, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
  11. Ulrich Horst, 2010. "Dynamic Systems of Social Interactions," SFB 649 Discussion Papers SFB649DP2010-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  12. Ballester, Coralio & Calvó-Armengol, Antoni & Zenou, Yves, 2004. "Who's Who in Crime Network. Wanted the Key Player," Working Paper Series 617, Research Institute of Industrial Economics.
  13. João Amaro de Matos & Pedro Barros, 2004. "Social Norms and the Paradox of Elections’ Turnout," Public Choice, Springer, vol. 121(1), pages 239-255, October.
  14. Elpianna Emmanouilidi, 2012. "Estimation Of A Discrete-Choice Model With Spatial Interactions The Case Of Deforestation In Western Attica Between 1990 And 2000," Regional Science Inquiry, Hellenic Association of Regional Scientists, vol. 0(3), pages 69-83, December.
  15. George Norman & Lynne Pepall & Dan Richards, 2001. "Versioning, Brand-Stretching, and the Evolution of e-Commerce Markets," Discussion Papers Series, Department of Economics, Tufts University 0114, Department of Economics, Tufts University.
  16. Sumit Joshi & Poorvi Vora, 2013. "Weak and strong multimarket bidding rings," Economic Theory, Springer, vol. 53(3), pages 657-696, August.
  17. repec:hrs:journl::y:2012:v:4:i:3:p:69-83 is not listed on IDEAS

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