적흑게임에서 p>1/2인 경우의 최적전략

The Optimum StrategyWhen p>1/2 in Red & black

  • 발행 : 2003.07.01

초록

In a game called red and black, you can stake any amount s in your possession. Suppose you. goal is 1 and you. current fortune is i with 0 < f < 1. You win back your stake and as much more with probability p and lose your stake with probability, q = 1 - p. Ahn(2000) considered optimum strategy for this game with the value of p greater than \frac{1}{2} where the player has the advantage over the house. The optimum strategy at any when p>\frac{1}{2} is to play timidly, which is to bet a small amount each time. In this paper we perform the simulation study to show that the Timin strategy is optimum.

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참고문헌

  1. Ahn, Chul H. (2000). Optimum Strategies in Red and Black, The Korean Communications in Statistics, Vol 7, No 2. 2000, pp. 475-480
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  3. Dubins and Savage (1965). How to gamble if you must, Mcgraw-Hill, New York
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  5. Parzen, E. (1962). Stochastic processes, Holden-Day. p.233