Abstract
An arbitrage practice and its various applications to the betting market are considered. The ratio of profit and commitments and brake-even value of the market are proved. The concepts of speculative and systematic probabilities, conditional profit and conditional loss from a market event, and the efficiency of game strategies are analyzed. A typical two-position model of trading at an exchange is considered.
Similar content being viewed by others
References
E. O. Thorp, “The Kelly criterion in backjack, sports betting, and the stock market.” in: 10th Int. Conf. on Gambling and Risk Taking, Montreal, June (1997).
S. Skiena, Calculated Bets: Computers, Gambling, and Mathematical Modeling to Win, Cambridge Univ. Press, Cambridge (2001).
O. P. Mar’in, Mathematical Encyclopedia of Sports Betting [in Russian], Moscow (2007) (www.livelines.ru V. 1.1).
A. Smirnov, Determining the Efficiency of a Game System using Probability Theory [in Russian], http://www.stavochka.com/view.php?contentid=142.
R. Umarov, Mathematics in Trading [in Russian], http://articles.mql_4.com.
Bookmaking for Beginners [in Russian], ProBettor, Danger, http://subscribe.ru/catalog/sport.news.prostavki (2004).
M. Pokrovskii, Sports and Money [in Russian], http://bet-on.ru/ (2005).
S. Galkin, Hunting for a Bookmaker [in Russian], http://kill-bet.com/ (2007).
J. R. Miller, How Professional Gamblers Beat the Pro Football Pointspread, Flying M Group (2004).
J. Duncan, Betting Exchange Guide, Teamtask Direct Marketing (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2012, pp. 122–133.
Rights and permissions
About this article
Cite this article
Kotlyar, V.Y., Smyrnova, O.V. Betting market: analysis of arbitrage situations. Cybern Syst Anal 48, 912–920 (2012). https://doi.org/10.1007/s10559-012-9472-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-012-9472-1