In this paper, we calculate a basic strategy for several variations of a simplified version of Blackjack. In short, for these variants the player has only the two options of hit or stand, and they may only make either decision once. Other minor variations including rule modifications, changes in number of decks, alternate payout structures, and different given information about dealer's hand are also considered. An interesting theoretical result regarding the asymptotic behavior of the basic strategy and overall expectation as the number of decks increase is also proved.
翻译:本文计算了几种简化版二十一点变体的基本策略。简而言之,在这些变体中,玩家仅拥有"要牌"或"停牌"两种选择,且每种决策仅能执行一次。同时考虑了其他次要变体,包括规则修改、牌副数量变化、替代赔付结构以及庄家手牌的不同已知信息。此外,本文还证明了关于基本策略与总体期望值随牌副数增加而渐近行为的一个有趣理论结果。