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Function and form in networks of interacting agents

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Author Info

  • Tanya Araújo
  • R. Vilela Mendes

Abstract

The main problem we address in this paper is whether function determines form when a society of agents organizes itself for some purpose or whether the organizing method is more important than the functionality in determining the structure of the ensemble. As an example, we use a neural network that learns the function by two different learning methods. For sufficiently large networks, very different structures may indeed be obtained for the same functionality. Clustering, characteristic path length and hierarchy are structural differences, which in turn have implications on the robustness and adaptability of the networks. In networks, as opposed to simple graphs, the connections between the agents are not necessarily symmetrie and may have positive or negative signs. New characteristic coefficients are introduced to characterize this richer connectivity structure.

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Bibliographic Info

Paper provided by ISEG - School of Economics and Management, Department of Economics, University of Lisbon in its series Working Papers Department of Economics with number 2001/03.

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Date of creation: 2001
Date of revision:
Handle: RePEc:ise:isegwp:wp32001

Contact details of provider:
Postal: Department of Economics, ISEG - School of Economics and Management, University of Lisbon, Rua do Quelhas 6, 1200-781 LISBON, PORTUGAL
Web page: https://aquila1.iseg.ulisboa.pt/aquila/departamentos/EC

Related research

Keywords: networks; agents; clustering; path length.;

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Cited by:
  1. Spelta, Alessandro & Araújo, Tanya, 2012. "The topology of cross-border exposures: Beyond the minimal spanning tree approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5572-5583.
  2. Alessandro Spelta & Tanya Araújo, 2012. "Interlinkages and structural changes in cross-border liabilities: a network approach," Quaderni di Dipartimento 181, University of Pavia, Department of Economics and Quantitative Methods.
  3. Alessandro Spelta & Tanya Ara\'ujo, 2011. "The topology of cross-border exposures: beyond the minimal spanning tree approach," Papers 1112.5711, arXiv.org.
  4. Paolo Giudici & Alessandro Spelta, 2013. "Graphical network models for international financial flows," DEM Working Papers Series 052, University of Pavia, Department of Economics and Management.

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