14. Refer to Figure
b
. Kate and Alice are sisters with a very strict mother. The girls are not
allowed to watch television during the day when their mother is at work. The mother comes home
one day and knows at least one girl was watching the television because it is warm. She sends
the girls to their separate bedrooms while she decides what to do. After giving it some thought,
she decides to send a message to the naughty girls and offers them the following deal: if they
both deny watching TV, they will each be grounded for 3 weeks; if one squeals on the other, but
the other denies watching TV, the squealer is grounded for 2 weeks, while the denier is grounded
for 10; if they both squeal, each is grounded for 6 weeks. The following payoff matrix illustrates
the girls’ dilemma, with Kate’s payoff shown in the upper left-hand corner of each cell and Alice’s
in the lower right-hand corner. What is Alice’s dominant strategy?
D. Alice’s dominant strategy depends upon what Kate does.