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Algorithmic Complexity of Financial Motions

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

Abstract

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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Bibliographic Info

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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Related research

Keywords: algorithmic information theory; Kolmogorov complexity; financial returns; market efficiency; compression algorithms; information theory; randomness; price movements; algorithmic probability;

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  1. 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.
  2. 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.
  3. 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.
  4. David H. Cutler & James M. Poterba & Lawrence H. Summers, 1988. "What Moves Stock Prices?," Working papers 487, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Bates, David S., 2000. "Post-'87 crash fears in the S&P 500 futures option market," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 181-238.
  6. 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.
  7. Sergio Da Silva & Raul Matsushita & Ricardo Giglio, 2008. "The relative efficiency of stockmarkets," Economics Bulletin, AccessEcon, vol. 7(6), pages 1-12.
  8. repec:ebl:ecbull:v:7:y:2008:i:6:p:1-12 is not listed on IDEAS
  9. Jing Chen, 2005. "Information Theory and Market Behavior," Finance 0503009, EconWPA.
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