Volume 8, no. 1Pages 128 - 131

Mathematical Model of a Successful Stock Market Game

T.A. Vereschagina, M.M. Yakupov, V.K. Khen
All available predictive models of stock market trade (like regression or statistical analysis, for instance) are based on studying of price fluctuation. This article proposes a new model of a successful stock market strategy based on studying of the behavior of the largest successful players. The main point of this model is that a relatively weak player repeats the actions of stronger players in the same fashion as in a race after leader a cyclist following a motorbike reaches greater velocity. We represent the leader as a vector in the nonnegative orthant R^n_+ depending on the most successful traders (hedge funds). When buying and selling stocks, we should always keep the vector of own resources collinear to the leader's. This strategy will not yield significant profit, but it prevents considerable loss.
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Keywords
stock market trade; hedge funds; race after leader.
References
1. Smith A. An Inquiry into the Nature and Causes of the Wealth of Nations. London, 1776.
2. Walras L. Elements d'economie politique pure, ou, Theorie de la richesse sociale. Paris, L. Gorbaz, 1874.
3. Ekeland I. Elements d'economie mathematique. Paris, Hermann, 1979.
4. Marx K. Das Kapital. Kritik der politischen Oekonomie. Berlin, Verlag von Otto Meisner, 1867 (vol. 1), 1885 (vol. 2), 1894 (vol. 3).
5. Leontief V. Essays in economics: theories and theorizing. New York, Oxford University Press, 1966 (vol. 1), 1977 (vol. 2).
6. Shestakov A.L., Keller A.V., Sviridyuk G.A. The Theory of Optimal Measurements. Journal of Computational and Engineering Mathematics, 2014, vol. 1, no. 1, pp. 3-16.
7. Shestakov A., Sviridyuk G., Sagadeeva M. Reconstruction of a Dynamically Distorted Signal with Respect to the Measure Transducer Degradation. Applied Mathematical Sciences, 2014, vol. 8, no. 43-44, pp. 2125-2130.
8. Keynes J.M. The General Theory of Employment, Interest and Money. London, Palgrave Macmillan, 1936.
9. Niederhoffer V., Kenner L. Practical speculation. New York, John Weley & Sons, Inc. 2003.