Mathematics 483 (Game Theory)
Homework Assignment iv
York College (CUNY)
Jamaica, NY 11451
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?