博弈论作业，求大神帮忙ps一下！

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耶鲁开放课程博弈论板书、作业、讨论、考试.pdf144页
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Summary & Lessons of the First Class Ben Polak Econ 159a/MGT522a Fall, 2007
We played the following game: \Without showing your neighbor what you are doing, write down on a form either the letter
or the letter
Think of this as a `grade bid'.
We will randomly pair your form with one other form.
Neither you nor your pair will ever know with whom you were paired.
Here is how grades
be assigned for this course. If you put
and your pair puts
, then you will get grade A, and your pair grade C. if both you and your pair put
, then you both will get grade B-. if you put
and your pair puts
, then you will get grade C, and your pair grade A. if both you and your pair put
, then you will both get grade B+."
`strategies'. The
`outcomes'.
We can record such information as follows: Outcome
Matrix pair me B-,B-
Game To answer this,
we rst need to know what that person cares about:
what `payo' does each outcome yield for
this person.
Game theory can not tell us what payos to assign to outcomes.
This depends on
the preferences
and moral sentiments of the players,
not just you but also your opponents.
But game theory has a lot to say about how to play the game once payos are known.
payos: Evil
about her own grade then
assuming she prefers A to B etc.
the payos might be as follows: Payo
1 pair me 0; 0
3; 1 1; 3 1; 1
If my pair chooses , then my choosing
yields me 0
whereas my choosing
yields me only 1.
If my pair chooses
, then my choosing
3 whereas my choosing
yields me only 1.
So, in either case, my choosing
is better.
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