List of top Mathematics for Economy Questions on Matrix

Let $M =\begin{bmatrix} \alpha & − 6 \\-1 & -1 \end{bmatrix}, \alpha\, \epsilon\, R $ be a 2 × 2 matrix. If the eigenvalues of $M$ are $\beta$ and 4, then which of the following is/are CORRECT?

In a two-player game, player 1 can choose either U or D as strategies. Player 2 can choose either L or R as strategies. Let 𝑐 be a real number such that $0 < 𝑐 < 1$. If the payoff matrix is

	L	R
U	0, 0	0, −c
D	−c, 0	1 − c, 1 − c

then the number of pure strategy Nash Equilibria in the game equals

In a two-player game, player 1 can choose either M or N as strategies. Player 2 can choose either X, Y, or Z as strategies. The payoff matrix is as follows:

a	X	Y	Z
M	3, 1	0, 0	−1, 2
N	0, 0	1, 3	0.5, 1

Which set of strategy profiles survives iterated elimination of strictly dominated strategies?