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another probability problem

another probability problem# Economics - 经济

q*i2001-03-25 08:03

1 楼

in the original problem proposed by restless, let's
assume that
1) the 2nd player knows which box has the ball;
2) the 2nd player doesn't open the box infront
of the first player. Instead, the 2nd player tells
the first player what's inside the box he just picked;
3) the 2nd are allowed to lie. However, if he lies and
is proven a liar (when the first decides to switch
and opens the box), he would pay the 2nd player
one ball.
4) each player plays to maximize his balls.
Q: What strategy should the

w*g2001-03-25 08:03

2 楼

still unclear. if you are just making up a problem, try to make sure everying
thing is clear before putting it. or if you are putting from other sources,
please make everying as complete as it is originally.

if the player switch to the left box and the ball is in that box, he/she gets
the ball, right? how do they allocate the ball if it is not in the box the
player switchs to? if the dealer is found to tell a lie that the picked box
contains the ball, how to deal with the ball in the box?
pay t

【在 q**i 的大作中提到】

: in the original problem proposed by restless, let's
: assume that
: 1) the 2nd player knows which box has the ball;
: 2) the 2nd player doesn't open the box infront
: of the first player. Instead, the 2nd player tells
: the first player what's inside the box he just picked;
: 3) the 2nd are allowed to lie. However, if he lies and
: is proven a liar (when the first decides to switch
: and opens the box), he would pay the 2nd player
: one ball.

q*i2001-03-25 08:03

3 楼

I basically dreamed up the problem. You are making it harder
than it really is.
yes to your first question.
If the box the player selects doesn't contain a ball, the
player gets nothing.
for the third question, the player would get the ball in the
box, and in addition the dealer would give him another ball
(so the player would have two balls).

【在 w*****g 的大作中提到】

: still unclear. if you are just making up a problem, try to make sure everying
: thing is clear before putting it. or if you are putting from other sources,
: please make everying as complete as it is originally.
:
: if the player switch to the left box and the ball is in that box, he/she gets
: the ball, right? how do they allocate the ball if it is not in the box the
: player switchs to? if the dealer is found to tell a lie that the picked box
: contains the ball, how to deal with the ball in the box?
: pay t

w*g2001-03-25 08:03

4 楼

then try your best to make it really a problem. think about all possibilities
and options.

【在 q**i 的大作中提到】

:
: I basically dreamed up the problem. You are making it harder
: than it really is.
: yes to your first question.
: If the box the player selects doesn't contain a ball, the
: player gets nothing.
: for the third question, the player would get the ball in the
: box, and in addition the dealer would give him another ball
: (so the player would have two balls).