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Suppose you have the following game Player 1?Player 2 3,6 4,10 50 0,8 2,6 3,3 4,

ID: 1153410 • Letter: S

Question

Suppose you have the following game Player 1?Player 2 3,6 4,10 50 0,8 2,6 3,3 4,10 1,1 1,5 29 30 4,6 Player 1 i the row player and Player 2 is the colunn player Solve this game by iterated deletion of dominated strategies Complete the following paragraph. Write the strategies in capital letters. In the first round, player 2 finds that strategy In the second round, player i finds that strategy In the third round player 2 finds thatdominates bothand Therefore, players , and 2 play the profile (write the profile with parenthesis,for example (DZ dominatess and therefore eliminafed dominates both and and are therefore eliminated and are therefore eliminated in this profillplayer sgets a payoff of and player 2 gets a payoff?

Explanation / Answer

In first round, player 2 finds that strategy X eliminates Z.

In second round player 1 finds that strategy U dominates both M and D.

In third round player 2 finds that strategy X eliminates W and Y.

Thus player 1 and player 2 will play the profile as (U,X) where player gets a payoff of 4 and player 2 gets a payoff of 10.

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