Mathematics 483 (Game Theory)

Homework Assignment v

prepared by:

Joseph Malkevitch
Mathematics Department
York College (CUNY)
Jamaica, NY 11451

web page:

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


  Column I Column II Column III
Row 1 3 -1 4
Row 2 -2 0 5


  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.