**Mathematics 483 ** (Game Theory)

Homework Assignment v

prepared by:

Joseph Malkevitch

Mathematics Department

York College (CUNY)

Jamaica, NY 11451

email: joeyc@cunyvm.cuny.edu

web page: http://www.york.cuny.edu/~malk

1. Consider the zero-sum games, with payoffs shown from Row's point of view below:

a.

Column I | Column II | Column III | |

Row 1 | 3 | -1 | 4 |

Row 2 | -2 | 0 | 5 |

b.

Column I | Column II | |

Row 1 | 2 | -3 |

Row 2 | -4 | 5 |

Row 3 | 0 | -1 |

i. What is the best-worst strategy for Row and Column in each game?

ii. Does either game have dominating strategies?

iii. Does either game have a saddle point?

iv. Find the optimal way to play these games for each player.