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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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File URL: http://hdl.handle.net/10.1007/s00199-005-0646-1
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Publisher 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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References listed on IDEAS
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Cited by:
(explanations, 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.)

  1. 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. [Downloadable!]
    Other versions:
  2. 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. [Downloadable!]
    Other versions:
  3. 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. [Downloadable!]
  4. 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. [Downloadable!] (restricted)
  5. Yannis M. Ioannides, 2003. "Complexity and Organizational Architecture," Discussion Papers Series, Department of Economics, Tufts University 0313, Department of Economics, Tufts University. [Downloadable!]
  6. Jan K. Brueckner & Oleg Smirnov, 2006. "Social Networks and the Convergence of Population Attributes: A Generalization," Working Papers 050630, University of California-Irvine, Department of Economics. [Downloadable!]
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