Posted: November 13th, 2015

# Gamethoery

Gamethoery

Contestants I and II in a game show start the last round with winnings of \$400and

\$500 dollars respectively. Each must decide to pass or gamble, not knowing the

choiceof the other. A player who passes keeps the money he/she started with. If

Player I
gambles, he wins \$200 with probability 1/2 or loses his entire \$400 with

probability 1/2.
If Player II gambles, she wins or loses \$200 with probability 1/2 each. These

outcomesare independent. Then the contestant with the higher amount at the end wins

a bonus of\$400.
(a) Draw the Kuhn tree.
(b) Put into strategic form.
(c) Find the safety levels

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