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

Listed author(s):
  • Nicolas Carayol

    ()

  • Pascale Roux
  • Murat Yıldızoğlu

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 Wolinski (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 (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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File URL: http://hdl.handle.net/10.1007/s10058-007-0036-1
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Article provided by Springer & Society for Economic Design in its journal Review of Economic Design.

Volume (Year): 11 (2008)
Issue (Month): 4 (February)
Pages: 339-359

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Handle: RePEc:spr:reecde:v:11:y:2008:i:4:p:339-359
DOI: 10.1007/s10058-007-0036-1
Contact details of provider: Web page: http://www.springer.com

Web page: https://sites.google.com/site/societyforeconomicdesign/

Order Information: Web: http://www.springer.com/economics/journal/10058

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  1. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Murat Yildizoglu & Nicolas Carayol & Pascale Roux, 2008. "Inefficiencies in a model of spatial networks formation with positive externalities," Post-Print hal-00160704, HAL.
  3. Carayol, Nicolas & Roux, Pascale, 2009. "Knowledge flows and the geography of networks: A strategic model of small world formation," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 414-427, August.
  4. Nicolas Carayol & Pascale Roux, 2004. "Behavioral Foundations And Equilibrium Notions For Social Network Formation Processes," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 77-92.
  5. Matthew O. Jackson, 2003. "A survey of models of network formation: Stability and efficiency," Working Papers 1161, California Institute of Technology, Division of the Humanities and Social Sciences.
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