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Algorithmic Complexity of Financial Motions

  • Olivier Brandouy
  • Jean-Paul Delahaye
  • Lin Ma
  • Hector Zenil

We survey the main applications of algorithmic (Kolmogorov) complexity to the problem of price dynamics in financial markets. We stress the differences between these works and put forward a general algorithmic framework in order to highlight its potential for financial data analysis. This framework is “general" in the sense that it is not constructed on the common assumption that price variations are predominantly stochastic in nature.

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Paper provided by ASSRU - Algorithmic Social Science Research Unit in its series ASSRU Discussion Papers with number 1204.

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Date of creation: 2012
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Handle: RePEc:trn:utwpas:1204
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  2. A. Dionisio & R. Menezes & D. A. Mendes, 2006. "An econophysics approach to analyse uncertainty in financial markets: an application to the Portuguese stock market," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 50(1), pages 161-164, 03.
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  6. Eugene F Fama, . "Market Efficiency, Long-Term Returns, and Behavioral Finance," CRSP working papers 448, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  7. Jing Chen, 2005. "Information Theory and Market Behavior," Finance 0503009, EconWPA.
  8. Andreia Dionisio & Rui Menezes & Diana A. Mendes, 2007. "Entropy and Uncertainty Analysis in Financial Markets," Papers 0709.0668, arXiv.org.
  9. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
  10. Jean-Michel Courtault & Yuri Kabanov & Bernard Bru & Pierre Crépel & Isabelle Lebon & Arnaud Le Marchand, 2000. "Louis Bachelier on the Centenary of "Théorie de la Spéculation"," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 339-353.
  11. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  12. R. Mansilla, 2001. "Algorithmic Complexity in Real Financial Markets," Papers cond-mat/0104472, arXiv.org.
  13. Ching-Wei Tan, 1999. "Estimating the Complexity Function of Financial Time Series: An Estimation Based on Predictive Stochastic Complexity," Computing in Economics and Finance 1999 1143, Society for Computational Economics.
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  15. Fama, Eugene F, 1991. " Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-617, December.
  16. Armin Shmilovici & Yoav Kahiri & Irad Ben-Gal & Shmuel Hauser, 2009. "Measuring the Efficiency of the Intraday Forex Market with a Universal Data Compression Algorithm," Computational Economics, Society for Computational Economics, vol. 33(2), pages 131-154, March.
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  18. Brandouy, Olivier & Delahaye, Jean-Paul & Ma, Lin & Zenil, Hector, 2014. "Algorithmic complexity of financial motions," Research in International Business and Finance, Elsevier, vol. 30(C), pages 336-347.
  19. Giglio, Ricardo & Matsushita, Raul & Figueiredo, Annibal & Gleria, Iram & Da Silva, Sergio, 2008. "Algorithmic complexity theory and the relative efficiency of financial markets," MPRA Paper 8704, University Library of Munich, Germany.
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