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Content of Game Theory for Managers course includes ratiinality, prisoner dilemma, Loyal servant, assurance, credibility, stratigic subtitutes, entry, brinkmanship, negotiation, auctions, signaling, reputation etc. This file contains: Bluffing, Game, Raise, Player, Good, Card, Automatic, Pot, Card, Bad
Typology: Exercises
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We will play the Bluffing Game next class. As preparation, please think about the game, answer the questions on the opposite side, and turn in this sheet to the TA at the beginning of next lecture.
The game is a very simple sort of poker. Be prepared to play either role (A or B)
Both players put $100 (hypothetical money) into “the pot” before play begins Player A receives a card. 1/3 of time it’s “Good Card”, 2/3 of time it’s “Bad Card”. (Player B does not get a card.) After getting the card, Player A can either bet $100 more (“Raise”) or Not
If Not Raise, game ends and Player A wins the pot (for net winning +100) if Good Card and loses pot (for net –100) if Bad Card. This is a zero-sum game, so B loses whatever A wins and vice versa.
If Raise, Player B either gives up (“Fold”) or puts in an extra $100 also (“Call”) o If Fold, Player A wins the pot automatically (payoff +100) o If Call, Player A wins the pot if Good Card (payoff +200) and loses the pot if Bad Card (payoff -200)
Suppose that, before the game is played, your opponent is given the chance to tell you “how she thinks the game should be played”. (Suppose for our purposes that she tells the truth.)
How would you play, given that this is how she thinks one should play? (Both if you are Player A and if you are Player B.) Why?
How would you play, given that this is how she thinks one should play? (Both if you are Player A and if you are Player B.) Why?
Your Name: __________________________