IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1006.0628.html
   My bibliography  Save this paper

Emergence of universal scaling in financial markets from mean-field dynamics

Author

Listed:
  • S. V. Vikram
  • Sitabhra Sinha

Abstract

Collective phenomena with universal properties have been observed in many complex systems with a large number of components. Here we present a microscopic model of the emergence of scaling behavior in such systems, where the interaction dynamics between individual components is mediated by a global variable making the mean-field description exact. Using the example of financial markets, we show that asset price can be such a global variable with the critical role of coordinating the actions of agents who are otherwise independent. The resulting model accurately reproduces empirical properties such as the universal scaling of the price fluctuation and volume distributions, long-range correlations in volatility and multiscaling.

Suggested Citation

  • S. V. Vikram & Sitabhra Sinha, 2010. "Emergence of universal scaling in financial markets from mean-field dynamics," Papers 1006.0628, arXiv.org.
  • Handle: RePEc:arx:papers:1006.0628
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1006.0628
    File Function: Latest version
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Takero Ibuki & Jun-ichi Inoue, 2011. "Response of double-auction markets to instantaneous Selling–Buying signals with stochastic Bid–Ask spread," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 6(2), pages 93-120, November.
    2. Tingqiang Chen & Binqing Xiao & Haifei Liu, 2018. "Credit Risk Contagion in an Evolving Network Model Integrating Spillover Effects and Behavioral Interventions," Complexity, Hindawi, vol. 2018, pages 1-16, March.
    3. Chakraborty, Abhijit & Easwaran, Soumya & Sinha, Sitabhra, 2018. "Deviations from universality in the fluctuation behavior of a heterogeneous complex system reveal intrinsic properties of components: The case of the international currency market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 599-610.
    4. Yuichi Ikeda, 2020. "An Interacting Agent Model of Economic Crisis," Papers 2001.11843, arXiv.org.
    5. Sitabhra Sinha & Uday Kovur, 2013. "Uncovering the network structure of the world currency market: Cross-correlations in the fluctuations of daily exchange rates," Papers 1305.0239, arXiv.org.
    6. D. Sornette, 2014. "Physics and Financial Economics (1776-2014): Puzzles, Ising and Agent-Based models," Papers 1404.0243, arXiv.org.
    7. Xiao-Qian Sun & Hua-Wei Shen & Xue-Qi Cheng & Zhao-Yang Wang, 2012. "Degree-Strength Correlation Reveals Anomalous Trading Behavior," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-9, October.
    8. Anindya S. Chakrabarti & Arnab Chatterjee & Tushar Nandi & Asim Ghosh & Anirban Chakraborti, 2018. "Quantifying invariant features of within-group inequality in consumption across groups," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 469-490, October.
    9. Takero Ibuki & Jun-ichi Inoue, 2010. "Response of double-auction markets to instantaneous Selling-Buying signals with stochastic Bid-Ask spread," Papers 1011.0748, arXiv.org, revised Mar 2011.
    10. IKEDA Yuichi & YOSHIKAWA Hiroshi, 2018. "Macroprudential Modeling Based on Spin Dynamics in a Supply Chain Network," Discussion papers 18045, Research Institute of Economy, Trade and Industry (RIETI).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1006.0628. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.