Let's play poker. We draw cards from a uniform [0,1]. We both ante $1 (pot is $2). After looking at your card, you can bet $1 or fold. If you bet, I look at my card and can either call or fold. What is your optimal betting strategy to maximize expected payoff? Does it include bluffing?

玩个扑克游戏。两人各从[0,1]连续均匀分布中抽一张牌，底池共2块（每人1块）。你看牌后可加注1块或弃牌；若你加注，我看牌后可跟注（1块）或弃牌。为了最大化期望，你该在什么牌面区间加注？需要诈唬（bluff）吗？