Mathematics 483 (Game Theory)

Homework Assignment iv

prepared by:

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

web page:

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?