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.