4. Consider the following simplication of poker (straight from the rst lecture on dynamic games of incom plete information). There are two players, a sender and a receiver. First, each player rst puts a dollar down (the ante). Notice however that there is no choice here, so you don't need to make this part of the extensive form of the game (the reason for describing the setup this way is that it is a natural way of generating the payoffs). Then the sender draws a single card from a deck consisting of an equal number of queens and kings. Only the sender draws a card. After observing the card, the sender may either \"bet\" or \"fold\". If the sender folds, the receiver wins the pot containing the ante (implying that the receiver wins 1 and the sender loses 1). If the sender \"bets\