**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?