Consider a two-stage game of complete but imperfect information where players 1 and 2 simultaneously choose actions a₁ and a₂ in stage 1 and players 3 and 4 simultaneously choose actions a3 and a4 in stage 2. Provide the notation for the Nash equilibrium in stage 2. How come players 1 and 2 can anticipate this outcome in stage 2?

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2. Consider a two-stage game of complete but imperfect information where players 1 and 2 simultaneously choose actions \(a_1\) and \(a_2\) in stage 1, and players 3 and 4 simultaneously choose actions \(a_3\) and \(a_4\) in stage 2. Provide the notation for the Nash equilibrium in stage 2. How come players 1 and 2 can anticipate this outcome in stage 2?
Transcribed Image Text:2. Consider a two-stage game of complete but imperfect information where players 1 and 2 simultaneously choose actions \(a_1\) and \(a_2\) in stage 1, and players 3 and 4 simultaneously choose actions \(a_3\) and \(a_4\) in stage 2. Provide the notation for the Nash equilibrium in stage 2. How come players 1 and 2 can anticipate this outcome in stage 2?
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