A city has two competitive television stations, station R and station C. Every month, each station makes exactly one choice for the Thursday 8–9 p.m. time slot from the program categories shown in the following matrix. Each matrix entry is an average viewer index rating gain (or loss) established by a rating firm using data collected over the past 5 years. (Any gain for station R is a loss for station C, and vice versa.)

(A) Find the optimal strategies for station R and station C. What is the value of the game?

(B) What is the expected value of the game for R if station R always chooses travel and station C uses its optimal strategy?

(C) What is the expected value of the game for R if station C always chooses movies and station R uses its optimal strategy?

(D) What is the expected value of the game for R if station R always chooses sitcoms and station C always chooses sports events?

Transcribed Image Text:

R Nature films Travel 0 News 1 Sitcoms 2 Soaps 1 Talk Sports shows events Movies -1 2 20 0 C 3 -2 -1 0 0 -2 1 0