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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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  1. Cowan, Robin & Jonard, Nicolas, 2004. "Network structure and the diffusion of knowledge," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1557-1575, June.
  2. Giulia Iori, 1999. "A microsimulation of traders activity in the stock market: the role of heterogeneity, agents' interactions and trade frictions," Finance 9905005, EconWPA.
  3. Day, R. & Huang, W., 1988. "Bulls, Bears And Market Sheep," Papers m8822, Southern California - Department of Economics.
  4. Florian Wagener & Cars Hommes & William Brock, 2006. "More hedging instruments may destabilize markets," Working Papers wp06-11, Warwick Business School, Finance Group.
  5. Mikhail Anufriev & Giulio Bottazzi, 2004. "Asset Pricing Model with Heterogeneous Investment Horizons," LEM Papers Series 2004/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  6. De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990. "Noise Trader Risk in Financial Markets," Scholarly Articles 3725552, Harvard University Department of Economics.
  7. Cont, Rama & Bouchaud, Jean-Philipe, 2000. "Herd Behavior And Aggregate Fluctuations In Financial Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 4(02), pages 170-196, June.
  8. Arnswald, Torsten, 2001. "Investment Behaviour of German Equity Fund Managers," Discussion Paper Series 1: Economic Studies 2001,08, Deutsche Bundesbank, Research Centre.
  9. Piergiuseppe Morone & Richard Taylor, 2004. "Knowledge diffusion dynamics and network properties of face-to-face interactions," Journal of Evolutionary Economics, Springer, vol. 14(3), pages 327-351, 07.
  10. repec:att:wimass:9530 is not listed on IDEAS
  11. Duffy, John, 2001. "Learning to speculate: Experiments with artificial and real agents," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 295-319, March.
  12. Brock, W.A. & Hommes, C.H., 1996. "A Rational Route to Randomness," Working papers 9530r, Wisconsin Madison - Social Systems.
  13. Harrison Hong & Jeffrey D. Kubik & Jeremy C. Stein, 2003. "Thy Neighbor's Portfolio: Word-of-Mouth Effects in the Holdings and Trades of Money Managers," Harvard Institute of Economic Research Working Papers 2006, Harvard - Institute of Economic Research.
  14. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
  15. W. Brian Arthur & John H. Holland & Blake LeBaron & Richard Palmer & Paul Taylor, 1996. "Asset Pricing Under Endogenous Expectation in an Artificial Stock Market," Working Papers 96-12-093, Santa Fe Institute.
  16. Hommes, Cars & Huang, Hai & Wang, Duo, 2005. "A robust rational route to randomness in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1043-1072, June.
  17. Rama Cont & Jean-Philippe Bouchaud, 1997. "Herd behavior and aggregate fluctuations in financial markets," Science & Finance (CFM) working paper archive 500028, Science & Finance, Capital Fund Management.
  18. repec:att:wimass:9621 is not listed on IDEAS
  19. Kirman, Alan, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, MIT Press, vol. 108(1), pages 137-56, February.
  20. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
  21. repec:cup:macdyn:v:4:y:2000:i:2:p:170-96 is not listed on IDEAS
  22. Brock, W.A. & Hommes, C.H. & Wagener, F.O.O., 2002. "Evolutionary dynamics in markets with many trader types," CeNDEF Working Papers 02-10, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  23. Carl Chiarella, 1992. "The Dynamics of Speculative Behaviour," Working Paper Series 13, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  24. Shiller, 021Robert J. & Pound, John, 1989. "Survey evidence on diffusion of interest and information among investors," Journal of Economic Behavior & Organization, Elsevier, vol. 12(1), pages 47-66, August.
  25. Joel A. C. Baum & Andrew V. Shipilov & Tim J. Rowley, 2003. "Where do small worlds come from?," Industrial and Corporate Change, Oxford University Press, vol. 12(4), pages 697-725, August.
  26. Chen, Shu-Heng & Yeh, Chia-Hsuan, 2001. "Evolving traders and the business school with genetic programming: A new architecture of the agent-based artificial stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 25(3-4), pages 363-393, March.
  27. Esther Duflo & Emmanuel Saez, 2000. "Participation and Investment Decisions in a Retirement Plan: The Influence of Colleagues' Choices," NBER Working Papers 7735, National Bureau of Economic Research, Inc.
  28. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  29. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  30. Bottazzi, Giulio & Dosi, Giovanni & Rebesco, Igor, 2005. "Institutional architectures and behavioral ecologies in the dynamics of financial markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 197-228, February.
  31. Chen, Shu-Heng & Lux, Thomas & Marchesi, Michele, 2001. "Testing for non-linear structure in an artificial financial market," Journal of Economic Behavior & Organization, Elsevier, vol. 46(3), pages 327-342, November.
  32. repec:wop:humbsf:2000-96 is not listed on IDEAS
  33. Großklags, Jens & Schmidt, Carsten & Siegel, Jonathan, 2000. "Dumb software agents on an experimental asset market," SFB 373 Discussion Papers 2000,96, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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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, 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 160, Department of Applied Mathematics, Università Ca' Foscari Venezia.

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