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Consider the Kanye-Swift game below. Consider the Kanye-Swift game below. Figure 3: Battle of the Sexes Player 2 Kanye Taylor Swift Player 1 Kanye 1,3

Consider the Kanye-Swift game below.

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Consider the Kanye-Swift game below. Figure 3: Battle of the Sexes Player 2 Kanye Taylor Swift Player 1 Kanye 1,3 0,0 Taylor Swift 0,0 3,1 Number left (right) of comma refers to row (column's) payoff. (i) Show that in the T-times-repeated game, a SPNE is to alternately play (Kanye, Kanye) and (Swift, Swift) in each period. (4 points) (ii) Would one SPNE be for each player to play the mixed strategy in each period? (4 points)

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