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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

Suggested Citation

  • Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 559-584, August.
  • Handle: RePEc:spr:joecth:v:28:y:2006:i:3:p:559-584
    DOI: 10.1007/s00199-005-0646-1
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. 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.
    3. Yingyao Hu & Zhongjian Lin, 2018. "Misclassification and the hidden silent rivalry," CeMMAP working papers CWP12/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Chadha, R. & Brown, D.K. & Deardorff, A.V. & Stern, R.M., 2000. "Computational Analysis of the Impact on India of the Uruguay Round and the Forthcoming WTO Trade Negotiations," Working Papers 459, Research Seminar in International Economics, University of Michigan.
    5. 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).
    6. 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.
    7. Antoine Billot, 2009. "How to shake the invisible hand (when Robinson meets Friday)," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(3), pages 257-270.
    8. Tomohiko Konno & Yannis M. Ioannides, 2018. "The Exact Solution of Spatial Logit Response Games," Discussion Papers Series, Department of Economics, Tufts University 0827, Department of Economics, Tufts University.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Horst, Ulrich, 2010. "Dynamic systems of social interactions," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 158-170, February.
    14. Ioannides, Yannis M., 2012. "Complexity and organizational architecture," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 193-202.
    15. repec:spr:joecth:v:64:y:2017:i:3:d:10.1007_s00199-016-0990-3 is not listed on IDEAS
    16. Zakaria Babutsidze & Robin Cowan, 2014. "Showing or telling? Local interaction and organization of behavior," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 9(2), pages 151-181, October.
    17. 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.
    18. 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.
    19. 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.
    20. repec:hrs:journl::y:2012:v:4:i:3:p:69-83 is not listed on IDEAS
    21. 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.
    22. Sumit Joshi & Poorvi Vora, 2013. "Weak and strong multimarket bidding rings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 657-696, August.

    More about this item

    Keywords

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

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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