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Topologies of Social Interactions

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  • Yannis Ioannides

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Abstract

The paper adapts to richer social structures the Brock-Durlauf model of interactive discrete choice, where individuals’ decisions are influenced by the decisions of others. Social structure is modelled by a description of who interacts with whom, by means of a graph, with individuals as vertices and interaction between individuals as edges. The paper extends the mean field case to such alternative stylized interaction topologies as when individuals are connected through a common intermediary, the graph topology of interactions is a cycle or an one-dimensional lattice. Some results are qualitatively similar to the mean field case, but a richer class of anisotropic equilibria is also explored, for the case of the cycle and one-dimensional lattice. Social equilibria are also explored under the condition that individuals’ behavior is affected by the actual behavior of their neighbors and links are made with the econometric theory of systems of simultaneous equations modelling discrete decisions. The paper studies the role of interaction topology for the dynamics of adjustment towards isotropic equilibria. It compares circular interaction along a one-dimensional lattice with and without closure and shows that both lead to endogenous and generally transient spatial oscillations. However, closure of the social structure is responsible for relative persistence.

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Bibliographic Info

Paper provided by Department of Economics, Tufts University in its series Discussion Papers Series, Department of Economics, Tufts University with number 0104.

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Date of creation: 2001
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Handle: RePEc:tuf:tuftec:0104

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Related research

Keywords: interactions; dynamics; spatial oscillations; interactive discrete choice; neighborhood effects; Ising model; random fields;

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Citations

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Cited by:
  1. Yannis M. Ioannides, 2003. "Complexity and Organizational Architecture," Discussion Papers Series, Department of Economics, Tufts University 0313, Department of Economics, Tufts University.
  2. Sumit Joshi & Poorvi Vora, 2013. "Weak and strong multimarket bidding rings," Economic Theory, Springer, vol. 53(3), pages 657-696, August.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Rajesh Chadha & Drusilla K. Brown & Alan V. Deardorff & Robert M. Stern, 2000. "Computational Analysis of the Impact on India of the Uruguay Round and the Forthcoming WTO Trade Negotiations," William Davidson Institute Working Papers Series 312, William Davidson Institute at the University of Michigan.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. repec:hrs:journl::y:2012:v:4:i:3:p:69-83 is not listed on IDEAS
  15. 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.
  16. Ulrich Horst, 2010. "Dynamic Systems of Social Interactions," SFB 649 Discussion Papers SFB649DP2010-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  17. 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).

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