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Asset price dynamics with small world interactions under hetereogeneous beliefs

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Author Info

  • Valentyn Panchenko

    ()
    (School of Economics, University of New South Wales)

  • Sergiy Gerasymchuk

    ()
    (Advanced School of Economics, University of Venice)

  • Oleg V. Pavlov

    (Department of Social Science and Policy Studies, Worchester Polytechnic Institute)

Abstract

We propose a simple model of a financial market populated with heterogeneous agents. The market represents a network with nodes symbolizing the agents and edges standing for connections between them, thus, embodying local interactions in the market. By local interactions we mean any kind of interplay between the decisions of the agents unaffected by the market mechanism and unrelated to the physical distance between the agents. Using the rewiring procedure we restructure a network from regular lattice to random graph by varying the probability of the agents to switch from one trading strategy to another. We study how the network structure influences the asset price dynamics. The results show that for some intermediate values of the probability to switch, corresponding to a small world network, the price dynamics become reminiscent to the real. While for the boundary values of the probability the dynamics lacks some typical features of the real financial markets.

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Bibliographic Info

Paper provided by Department of Applied Mathematics, Università Ca' Foscari Venezia in its series Working Papers with number 149.

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Length: 21 pages
Date of creation: Mar 2007
Date of revision:
Handle: RePEc:vnm:wpaper:149

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Related research

Keywords: local interactions; networks; small world; heterogeneous beliefs; price dynamics; bifurcations; chaos;

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References

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Citations

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Cited by:
  1. Marc de Kamps & Daniel Ladley & Aistis Simaitis, 2012. "Heterogeneous Beliefs in Over-The-Counter Markets," Discussion Papers in Economics 13/03, Department of Economics, University of Leicester, revised Sep 2013.
  2. Alfarano, Simone & Milakovic, Mishael, 2009. "Network structure and N-dependence in agent-based herding models," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 33(1), pages 78-92, January.
  3. Sergiy Gerasymchuk, 2008. "Asset return and wealth dynamics with reference dependent preferences and heterogeneous beliefs," Working Papers, Department of Applied Mathematics, Università Ca' Foscari Venezia 160, Department of Applied Mathematics, Università Ca' Foscari Venezia.

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