00:01
So this problem appears to be related to inter -temporal choice and dynamic decision making.
00:07
So we break down this part of the problem.
00:10
For a, if a call type prefer given by beta plus one and plus one, what is this optimal choice of x1, x2, x3, x4? so if beta equals one and alpha equals one, means that pacost values future utility the same as present utility.
00:59
In this case, pacost would maximize his overall utility by choosing the movie with the highest un -discounted utility.
01:26
At each time, therefore, his opinion choice would be n, n, n, y, as movie 4 has the highest utility.
01:39
And for the next part, b, if pacost is present bias with beta point five and alpha equals one, what would his choice be if he could commit x1, x2, x3, x4? present bias implies b.
02:18
That pacost values present utility more than future utility.
02:22
If he could commit a choice, he would prefer to watch a movie sooner rather than later.
02:42
So in this case, his opinion would be y, n, n, n, choosing the movie with the highest present bias utility, which is u2 in this case.
03:01
Just for the b part, if pacost is sophisticated, what would his choice be if he procrastinated doing activities too soon? sophistication involves correctly anticipating one's future self -preferences.
03:40
So in this case, pacost would take into account his present bias preferences to avoid giving the present bias...