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Financial price fluctuations in a stock market model with many interacting agents

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  • Ulrich Horst

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Abstract

We consider a financial market model with a large number of interacting agents. Investors are heterogeneous in their expectations about the future evolution of an asset price process. Their current expectation is based on the previous states of their “neighbors” and on a random signal about the “mood of the market.” We analyze the asymptotics of both aggregate behavior and asset prices. We give sufficient conditions for the distribution of equilibrium prices to converge to a unique equilibrium, and provide a microeconomic foundation for the use of diffusion models in the analysis of financial price fluctuations. Copyright Springer-Verlag Berlin/Heidelberg 2005

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 25 (2005)
Issue (Month): 4 (06)
Pages: 917-932

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Handle: RePEc:spr:joecth:v:25:y:2005:i:4:p:917-932

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Related research

Keywords: Agent-based modelling; Diffusion models for financial markets; Contagion effects; bubbles and crashes.;

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Citations

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Cited by:
  1. J. Scheinkman & U. Horst, 2003. "Equilibria in Systems of Social Interactions," Princeton Economic Theory Working Papers d5a39039d26e0b08775b915bf, David K. Levine.
  2. Schütz, Gunter M. & de Almeida Prado, Fernando Pigeard & Harris, Rosemary J. & Belitsky, Vladimir, 2009. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4126-4144.
  3. Friedrich Wagner & Thomas Lux & Simone Alfarano, 2005. "Time-Variation of Higher Moments in a Financial Market with Heterogeneous Agents: An Analytical Approach," Working Papers wp05-02, Warwick Business School, Finance Group.
  4. Horst, Ulrich, 2010. "Dynamic systems of social interactions," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 158-170, February.
  5. J. Scheinkman & W. Xiong, 2002. "Overconfidence, Short-Sale Constraints and Bubbles," Princeton Economic Theory Working Papers 98734966f1c1a57373801367f, David K. Levine.
  6. Yoon, Gawon, 2012. "Some properties of periodically collapsing bubbles," Economic Modelling, Elsevier, vol. 29(2), pages 299-302.
  7. Erhan Bayraktar & Ulrich Horst & Ronnie Sircar, 2007. "A Limit Theorem for Financial Markets with Inert Investors," Papers math/0703831, arXiv.org.
  8. Gunter M. Sch\"utz & Fernando Pigeard de Almeida Prado & Rosemary J. Harris & Vladimir Belitsky, 2007. "Short-time behaviour of demand and price viewed through an exactly solvable model for heterogeneous interacting market agents," Papers 0801.0003, arXiv.org, revised Jun 2009.
  9. Bisin, Alberto & Horst, Ulrich & Ozgur, Onur, 2006. "Rational expectations equilibria of economies with local interactions," Journal of Economic Theory, Elsevier, vol. 127(1), pages 74-116, March.
  10. Choudhary, M. Ali & Michael Orszag, J., 2008. "A cobweb model with local externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 821-847, March.
  11. Roberto Dieci & Ilaria Foroni & Laura Gardini & Xue-Zhong He, 2005. "Market Mood, Adaptive Beliefs and Asset Price Dynamics," Research Paper Series 162, Quantitative Finance Research Centre, University of Technology, Sydney.
  12. Yipeng Yang & Allanus Tsoi, 2013. "Prospect Agents and the Feedback Effect on Price Fluctuations," Papers 1308.6759, arXiv.org, revised Jan 2014.
  13. Biao Wu, 2007. "Interacting Agent Feedback Finance Model," Papers math/0703827, arXiv.org.

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