**Problem 1**. The following matrix describes two party strategic game in which first player has strategies a1 and a2 and the second player has strategies b1 and b2. Find all Nash equilibria of this game.

b1 | b2 | |
---|---|---|

a1 | 1, 4 | 3, 2 |

a2 | 2, 3 | 4, 1 |

**Problem 2**. For which values of variable x, the matrix below describes a game with two Nash equilibria?

b1 | b2 | |
---|---|---|

a1 | 1, x | 3, 2 |

a2 | 2, 3 | x, 1 |

*Average Score: 8.7/10*