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A Dynamic Model of Network Formation with Strategic Interactions

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  • M. Koenig
  • Claudio J. Tessone

    ()

  • Yves Zenou

Abstract

In order to understand the different characteristics observed in real-world networks, one needs to analyze how and why networks form, the impact of network structure on agents' outcomes, and the evolution of networks over time. For this purpose, we combine a network game introduced by Ballester et al. [2006], where the Nash equilibrium action of each agent is proportional to her Bonacich centrality, with an endogenous network formation process. Links are formed on the basis of agents' centrality while the network is exposed to a volatile environment introducing interruptions in the connections between agents. A remarkable feature of our dynamic network formation process is that, at each period of time, the network is a nested split graph. This graph has very nice mathematical properties and are relatively easy to characterize. We show that there exists a unique stationary network (which is a nested split graph) whose topological properties completely match features exhibited by real-world networks. We also find that there exists a sharp transition in efficiency and network density from highly centralized to decentralized networks.

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Bibliographic Info

Paper provided by ETH Zurich, Chair of Systems Design in its series Working Papers with number CCSS-09-006.

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Handle: RePEc:stz:wpaper:ccss-09-006

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Keywords: Bonacich centrality; Network formation; social interactions; nested split graphs;

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References

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Citations

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Cited by:
  1. De Martí, Joan & Zenou, Yves, 2009. "Social Networks," CEPR Discussion Papers 7599, C.E.P.R. Discussion Papers.
  2. Michael D. K\"onig & Claudio J. Tessone & Yves Zenou, . "From Assortative to Dissortative Networks: The Role of Capacity Constraints," Working Papers CCSS-10-012, ETH Zurich, Chair of Systems Design.
  3. Zenou, Yves & König, Michael D. & Tessone, Claudio J., 0. "Nestedness in networks: A theoretical model and some applications," Theoretical Economics, Econometric Society.
  4. Michael Koenig, 2012. "The Formation of Networks with Local Spillovers and Limited Observability," Discussion Papers 11-004, Stanford Institute for Economic Policy Research.

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