Denunciar

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27 de Mar de 2023•0 gostou•2 visualizações

27 de Mar de 2023•0 gostou•2 visualizações

Denunciar

Educação

Consider the simplified poker game we demonstrated in class. We found out that this was not a fair game, because the person who received the card on average won 1/3 each hand. In order to try to make it fair, the payoffs to all of the bets involving a King are cut in half. So the payoffs are as follows: If Player 1 gets a King and Folds, Player 1 loses $.50 and player 2 wins $.50. If Player 1 gets a King and Bets, then if Player 2 folds, Player 1 wins $.50 and player 2 loses $.50. If Player 1 gets a King and Bets, then if Player 2 calls, Player 1 wins $1.00 and Player 2 loses $1.00. The payoffs involving a Queen are the same as in class: If Player 1 gets a Queen and Folds, Player 1 loses $1.00 and player 2 wins $1.00. If Player 1 gets a Queen and Bets, then if Player 2 folds, Player 1 wins $1.00 and player 2 loses $1.00. If Player 1 gets a Queen and Bets, then if Player 2 calls, Player 1 loses $2.00 and Player 2 wins $2.00. a) (16 points) In the following table, Player 1 Solution a. In this case we can compute the expected payoffs by considering all the possible strategies that the players can play. Here, Player 1 has the lead, and so after he made his move, player 2 gets the chance of playing his move which he thinks will be best for him. The probability that player 1 gets a King is.

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- 1. Consider the simplified poker game we demonstrated in class. We found out that this was not a fair game, because the person who received the card on average won 1/3 each hand. In order to try to make it fair, the payoffs to all of the bets involving a King are cut in half. So the payoffs are as follows: If Player 1 gets a King and Folds, Player 1 loses $.50 and player 2 wins $.50. If Player 1 gets a King and Bets, then if Player 2 folds, Player 1 wins $.50 and player 2 loses $.50. If Player 1 gets a King and Bets, then if Player 2 calls, Player 1 wins $1.00 and Player 2 loses $1.00. The payoffs involving a Queen are the same as in class: If Player 1 gets a Queen and Folds, Player 1 loses $1.00 and player 2 wins $1.00. If Player 1 gets a Queen and Bets, then if Player 2 folds, Player 1 wins $1.00 and player 2 loses $1.00. If Player 1 gets a Queen and Bets, then if Player 2 calls, Player 1 loses $2.00 and Player 2 wins $2.00. a) (16 points) In the following table, Player 1 Solution a. In this case we can compute the expected payoffs by considering all the possible strategies that the players can play. Here, Player 1 has the lead, and so after he made his move, player 2 gets the chance of playing his move which he thinks will be best for him. The probability that player 1 gets a King is