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Efficiency of Network Structures: The Needle in the Haystack

Author

Listed:
  • Murat Yildizoglu

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

  • Nicolas Carayol

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

  • Pascale Roux

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.
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Suggested Citation

  • Murat Yildizoglu & Nicolas Carayol & Pascale Roux, 2005. "Efficiency of Network Structures: The Needle in the Haystack," Post-Print hal-00160962, HAL.
    • Handle: RePEc:hal:journl:hal-00160962
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    Cited by:

    1. Moebert, Jochen, 2006. "Jefficiency vs. efficiency in social network models," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 25376, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Carayol, Nicolas & Roux, Pascale & YIldIzoGlu, Murat, 2008. "Inefficiencies in a model of spatial networks formation with positive externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 67(2), pages 495-511, August.
    3. Moebert, Jochen, 2006. "Jefficiency vs. efficiency in social network models," Darmstadt Discussion Papers in Economics 161, Darmstadt University of Technology, Department of Law and Economics.
    4. Möbert, Jochen, 2006. "Jefficiency vs. Efficiency in Social Network Models," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36779, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).

    More about this item

    Keywords

    Structure; Efficiency; network;
    All these keywords.

    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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