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1 Bayes' rule politics There are two possible states: 0 6 {0A, OB}. Voters cannot observe the realized state. There is an incumbent politician who

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1 Bayes' rule politics There are two possible states: 0 6 {0A, OB}. Voters cannot observe the realized state. There is an incumbent politician who knows the true state. The politician can be of two types: g or b. 1.2 Suppose that everybody knows that a type g politi- cian says A if and only if 0 = 0A and a type b politician always says B. Using Bayes' rule, state what voters believe about the politician and the state if the politi- cian says B. 1.3 Suppose that everybody knows that a type g politician says A if and only if 0 = 0A and a type b politician always says A if and only if 0 = 0B. Using Bayes' rule, state what voters believe about the politician and the state if the politician says A

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