Mathematics 483 (Game Theory)
Homework Assignment iv
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. Given the game below:
| Column I | Column II | |
| Row 1 | (3, -6) | (-1, 4) |
| Row 2 | (-12, 3) | (4, -2) |
a. Draw a motion diagram for the game. Are there any stable values arising from pure strategies?
b. What is Row's best-worst strategy?
c. What is Column's best-worst strategy?
d. What is the outcome if each player plays his/her best-worst strategy?
e. Does this outcome yield a "value" for the game?
f. What is the Nash Equilibrium for this game in mixed strategies?