A television network is attempting to decide during the summer which of the following three football games to televise on the Saturday following Thanksgiving Day: Alabama versus Auburn, Georgia versus Georgia Tech, or Army versus Navy. The estimated viewer ratings (millions of homes) for the games depend on the win–loss records of the six teams, as shown in the following payoff table:
Number of Viewers (1,000,000s)
One Team Has
Both Teams Winning Record; Both Teams
Have Winning One Team Has Have Losing
Game Records Losing Record Records
Alabama vs. Auburn 10.2 7.3 5.4
Georgia vs. Georgia Tech 9.6 8.1 4.8
Army vs. Navy 12.5 6.5 3.2
Determine the best game to televise, using the following decision criteria.
a. Maximax
b. Maximin
c. Equal likelihood