Which firm is the more profitable in this market does the

Question

A small town is served by two grocery stores, White and Gray.  Each store must decide whether it will remain open on Sunday or whether it will close on that day.  Monthly payoffs for each strategy pair are shown in the following table:

                                                             Grays Choices

                                                                           Open Sundays           Closed Sundays

Whites Choices     Open Sundays                 1000  8000                   7000 7000

                                Closed Sundays               3000 1000                   6000 12000

Showing all of your work, answer the following questions:

1. Which firm is the more profitable in this market?
2. Does the firm you identified as more profitable have a dominant strategy?
3. Based on your calculations, what should the more profitable firm do: open on Sundays or close on Sundays?  Explain your answer.
4. Is this an example of a Prisoner's Dilemma?  Explain your answer.