Consider the game played by Michael and Kristen in problem 18 above. Suppose that Michael decides not to threaten Kristen, but instead decides to promise her a monetary reward if she completes her thesis. 

a. How many points’ worth of money must Michael pay Kristen to convince her to complete her thesis?

b. How many points’ worth of money is Michael willing to spend in order to convince her to complete her thesis?

c. Based on your answers to (a) and (b), can Michael and Kristen work out a mutually beneficial trade in which Michael gives Kristen money and she completes her thesis?