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‘Collective innovation' in a model of network formation with preferential meeting

Author

Listed:
  • Nicolas Carayol

    (BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

  • Pascale Roux

    (LEREPS - Laboratoire d'Etude et de Recherche sur l'Economie, les Politiques et les Systèmes Sociaux - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - UT2J - Université Toulouse - Jean Jaurès - UT - Université de Toulouse - Institut d'Études Politiques [IEP] - Toulouse - ENSFEA - École Nationale Supérieure de Formation de l'Enseignement Agricole de Toulouse-Auzeville)

Abstract

In this paper, we present a model of ‘collective innovation' building upon the network formation formalism introduced by Jackson and Wolinski (1996) and Jackson and Watts (2002). Agents localized on a circle benefit from knowledge flows from some others with whom they are directly or indirectly connected. They also face costs for direct connections which are linearly increasing with geographical distance separating them. The dynamic process of network formation departs from available literature in that it exhibits preferential meetings for agents close to each other. As our main result, we provide a characterisation of the set of stochastically stable networks selected in the long run. Their architectures are compared to the ones obtained in the simple ‘connections model'. Our main result is to show under what circumstances pairwise stable "small worlds" networks are stochastically selected.

Suggested Citation

  • Nicolas Carayol & Pascale Roux, 2005. "‘Collective innovation' in a model of network formation with preferential meeting," Post-Print hal-00279446, HAL.
    • Handle: RePEc:hal:journl:hal-00279446
    DOI: 10.1007/b138885
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    Citations

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    Cited by:

    1. Dotan Persitz, 2009. "Power in the Heterogeneous Connections Model: The Emergence of Core-Periphery Networks," Working Papers 2009.42, Fondazione Eni Enrico Mattei.
    2. Somayeh Koohborfardhaghighi & Jörn Altmann, 2015. "A Network Formation Model for Social Object Networks," Springer Books, in: Zhenji Zhang & Zuojun Max Shen & Juliang Zhang & Runtong Zhang (ed.), Liss 2014, edition 127, pages 615-625, Springer.
    3. Ivan D. Breslavsky, 2017. "Effect of Intellectual Property Policy on the Speed of Technological Advancement," Papers 1706.04518, arXiv.org.
    4. Pedro Campos & Pavel Brazdil & Isabel Mota, 2013. "Comparing Strategies of Collaborative Networks for R&D: An Agent-Based Study," Computational Economics, Springer;Society for Computational Economics, vol. 42(1), pages 1-22, June.

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