加倍游戏模拟

我想知道这个模拟器是否能正常工作,因为我认为这些都不是合乎逻辑的答案,但也不能捕捉错误。

我已经为下面的游戏编写了一个模拟器(给定一副牌和1分),以找到最佳策略(经销商继续游戏的最高牌是什么)

 1. Dealer picks a card and shows it to you(Dealer can't pick Joker)
 2. You decide whether to play or no
 3.1. If you don't play you get current points and finish game
 3.2. If you play you pick a Card
 3.2.1. If your card is higher you get double points and go back to step 1
 3.2.2. If your and dealer's cards are equal you go back to step 1
 3.2.3. If dealer's card is higher you lose all points and finish

模拟显示了选择每张最大牌的赢系数。它显示了这些对我来说非常可疑的数字。我希望它增长到1.5到7,然后回到1。

1 -1
1.0853817 0
1.1872532 1
1.3126581 2
1.4672619 3
1.6704736 4
1.9485809 5
2.2674231 6
2.9993735 7
3.5692085 8
4.3581477 9
4.0109722 10
2.3629856 11
0 12

以下是C代码:

using System;

namespace Codeforces
{
    class Program
    {
    static int[] k = new int[54];

    static Random rand = new Random();

    static long Doubling(int i, long f)
    {
        int d = rand.Next(52);

        if (k[d] > i) return f;

        int ch = d;
        while (ch == d) ch = rand.Next(54);

        if (k[d] > k[ch]) return 0;

        if (k[d] == k[ch]) return Doubling(i, f);

        return Doubling(i, f * 2);
    }

    static void Main(string[] args)
    {
        for (int i = 0; i < 54; i++) k[i] = i / 4;

        for (int i = -1; i < 13; i++)
        {
            long sum = 0;
            for (int j = 0; j < 1e7; j++)
            {
                sum += Doubling(i, 1);
            }

            Console.WriteLine(sum / 1.0e7 + " " + i);
        }
    }
}

}