3176概率困难derivationmedium
Aggressive vs Defensive Quote After a Signal
题目
There are two possible actions. Aggressive pays 10 in the good state and -8 in the bad state. Defensive pays 4 in the good state and -1 in the bad state. The good state has prior probability . Before acting, you may see a binary signal that is correct with probability . What is the value of observing the signal, and which action should you take after a good signal and after a bad signal?
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你的答案
value of observing the signal
action without signal
action after good signal
action after bad signal