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Local Network Effects and Complex Network Structure


  • Sundararajan Arun

    () (New York University)


This paper presents a model of local network effects in which agents connected in a social network each value the adoption of a product by a heterogeneous subset of other agents in their neighborhood, and have incomplete information about the structure and strength of adoption complementarities between all other agents. I show that the symmetric Bayes-Nash equilibria of this network game are in monotone strategies, can be strictly Pareto-ranked based on a scalar neighbor-adoption probability value, and that the greatest such equilibrium is uniquely coalition-proof. Each Bayes-Nash equilibrium has a corresponding fulfilled-expectations equilibrium under which agents form local adoption expectations. Examples illustrate cases in which the social network is an instance of a Poisson random graph, when it is a complete graph, a standard model of network effects, and when it is a generalized random graph. A generating function describing the structure of networks of adopting agents is characterized as a function of the Bayes-Nash equilibrium they play, and empirical implications of this characterization are discussed.

Suggested Citation

  • Sundararajan Arun, 2008. "Local Network Effects and Complex Network Structure," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-37, January.
  • Handle: RePEc:bpj:bejtec:v:7:y:2008:i:1:n:46

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    References listed on IDEAS

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    Cited by:

    1. Iván Arribas & Amparo Urbano Salvador, 2014. "Local coordination and global congestion in random networks," Discussion Papers in Economic Behaviour 0814, University of Valencia, ERI-CES.
    2. Mohamed Belhaj & Frédéric Deroïan, 2016. "The Value of Network Information: Assortative Mixing Makes the Difference," AMSE Working Papers 1618, Aix-Marseille School of Economics, Marseille, France, revised 11 May 2016.
    3. Harmsen - van Hout, Marjolein J.W. & Dellaert, Benedict G.C. & Herings, P. Jean-Jacques, 2016. "Heuristic decision making in network linking," European Journal of Operational Research, Elsevier, vol. 251(1), pages 158-170.

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