6. Consider the following two-player game:2L MU 3,3 2,31 M 2,1 3,1DR0,23,30,3 3,0-5, -5a. Find all pure NE.b. Find a (non-pure) MNE in which player 1 (the row player) plays a purestrategy.c. (Harder Question) Show that there cannot be a CE prescribing that strat-egy D of player 1 (the column player) is played with positive probability.

There are two players in the game : Player 1 & 2 Strategy set of player 1 = {U , M , D }…

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Consider the following two-player game: 2 L M U 3,3 2,3 3,1 1 M 2,1 D 0,3 R 0,2 3,3 3,0-5,-5

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Question

6. Consider the following two-player game:
2
L M
U 3,3 2,3
1 M 2,1 3,1
D
R
0,2
3,3
0,3 3,0-5, -5
a. Find all pure NE.
b. Find a (non-pure) MNE in which player 1 (the row player) plays a pure
strategy.
c. (Harder Question) Show that there cannot be a CE prescribing that strat-
egy D of player 1 (the column player) is played with positive probability.

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