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1·Game theory predicts that each buyer will bid so as to maximize her expected payoff, given that all other buyers do the same.

博弈论预言了每一个买者在竞标时应如此行事，亦即，在假定其他所有买者均比照自己一样行事的条件下，须得将自己的期望所得极大化。

2·Expected utility is calculated by multiplying the probability of each payoff by the payoff and taking the total sum.

预期效用的计算方法是用每次支付分值的概率乘以支付的分值，然后对其进行累加。

3·The expected discounted payoff corresponding to the optimal parametric exercise boundary is the final result for the American basket option price.

这个根据参数形式的最优可执行边界得出的期望贴现收益就是我们所求的美式一篮子期权价格。