a dude chooses one of 26 boxes which could contain 1 of the numbers below: .01 1
ID: 3633994 • Letter: A
Question
a dude chooses one of 26 boxes which could contain 1 of the numbersbelow:
.01
1
5
10
25
50
75
100
200
300
400
500
750
1,000
5,000
10,000
25,000
50,000
75,000
100,000
200,000
300,000
400,000
500,000
750,000
1,000,000
The dude must then open other boxes, which gives both the dude and
his opponent, the dudes girl, information about amounts that are not
in the box. After the dude opens a certain number of boxes, the dudes
girl makes an offer to steal the box for a certain amount of money,
which the dude can accept (okay) or reject (no okay). If the dude
okays, then this thing is over; if the dude rejects, then this thing
continues with more boxes being opened.
(d) Part of the dudes girl's job is to decide how dangerous a dude is
willing to be. Let's imagine 2 dudes, Bob and Dylan, who have
identical situations (same boxes opened, same offer from the dudes
girl). Bob immediately decides to reject the offer. Dylan waits for a
long time, seems like hes going to take the okay, and then denies it.
is there anything to say about the offer and A's and B's decisions?
idea: ..could be like the lotto
(e) Its easily seen that by knowing the type of player helps the
dudes girl. So, how can the dudes girl try to know whether the player
is more like player Bob or player Dylan early on?
(f) think about a time where the another player has five boxes alive:
#1,000, #10,000, #20,000, #400,000, and #750,000. She's offered the
expected monetary value of the boxes in play, and denies the offer.
Later, she says that if she was offered #10,000 more, then she would
have taken the okay. So what can be said about the bounds of the
utility of taking part in this thing? Use a set of inequalities.
Explanation / Answer
no time to read all this
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