**Modeling: Zero-Sum Games**

prepared by:

Joseph Malkevitch

Mathematics and Computing Department

York College (CUNY)

Jamaica, New York 11451-0001

email:

__malkevitch@york.cuny.edu__

web page:

__http://york.cuny.edu/~malk/__

1. For each of the zero sum games below, determine the optimal spinners for row and column (e.g. find the optimal mixed strategy) as well as the value of the game.

4 | -3 |

-3 | 2 |

1 | -3 |

-3 | 2 |

10 | -3 |

-3 | 2 |

2. If, in the games above, Row promises to play each of her rows half of the time in some random manner, what would column's optimal play be? Repeat if Row promises to play row 1, three quarters of the time, in some random manner.