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In search of efficient network structures: the needle in the haystack

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, ADIS - Analyse des Dynamiques Industrielles et Sociales - UP11 - Université Paris-Sud - Paris 11 - Département d'Economie)

  • Pascale Roux

    (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, ADIS - Analyse des Dynamiques Industrielles et Sociales - UP11 - Université Paris-Sud - Paris 11 - Département d'Economie)

  • Murat Yildizoğlu

    (GREThA - Groupe de Recherche en Economie Théorique et Appliquée - UB - Université de Bordeaux - CNRS - Centre National de la Recherche Scientifique)

Abstract

Searching for efficient networks can prove a very difficult analytical and even computational task. In this paper, we explore the possibility of using the genetic algorithms (GA) technique to identify efficient network structures in the case of non-trivial payoff functions. The robustness of this method in predicting optimal networks is tested on the two simple stylized models introduced by Jackson and Wolinsky (1996), for which the efficient networks are known over the whole state space of the parameters' values. This approach allows us to obtain new exploratory results in the case of the linear-spatialized connections model proposed by Johnson and Gilles (Rev Econ Des 5:273–299, 2000), for which the efficient allocation of bilateral connections is driven by contradictory forces that push either for a centralized structure around a coordinating agent, or for only locally and evenly distributed connections.

Suggested Citation

  • Nicolas Carayol & Pascale Roux & Murat Yildizoğlu, 2008. "In search of efficient network structures: the needle in the haystack," Post-Print hal-00279311, HAL.
    • Handle: RePEc:hal:journl:hal-00279311
    DOI: 10.1007/s10058-007-0036-1
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    Cited by:

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    2. Johannes VAN DER POL, 2016. "Social interactions between innovating firms: an analytical review of the literature," Cahiers du GREThA (2007-2019) 2016-23, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).

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    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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