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Quant版 - optimization question (转载)
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话题: risk话题: cost话题: question话题: dreasing
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1 (共1页)
i**M
发帖数: 108
1
【 以下文字转载自 Mathematics 讨论区 】
发信人: iFEM (莫扎特的音符), 信区: Mathematics
标 题: optimization question
发信站: BBS 未名空间站 (Wed May 25 16:52:30 2011, 美东)
Suppose c(p) is a monotonically dreasing function as shown in the picture. c
is the cost and p is the risk. As p increases, the risk is increasing but
the cost is decreasing. The question is how to minimize the cost and keep
the risk not too high? Thanks!
l******n
发帖数: 9344
2
没看明白.
p最大那c不就最小了?这个risk很奇怪

c

【在 i**M 的大作中提到】
: 【 以下文字转载自 Mathematics 讨论区 】
: 发信人: iFEM (莫扎特的音符), 信区: Mathematics
: 标 题: optimization question
: 发信站: BBS 未名空间站 (Wed May 25 16:52:30 2011, 美东)
: Suppose c(p) is a monotonically dreasing function as shown in the picture. c
: is the cost and p is the risk. As p increases, the risk is increasing but
: the cost is decreasing. The question is how to minimize the cost and keep
: the risk not too high? Thanks!

z****g
发帖数: 1978
3
你又没给target function,谈何optimization
i**M
发帖数: 108
4
You are right. The cost will decrease if the risk inreases. That's the
problem. How to balance the cost and the risk.
a****e
发帖数: 688
5
You need to get the utility function to balance between cost and risk.
l*****i
发帖数: 3929
6
Exactly. It all depends on how you define the overall utility.

【在 a****e 的大作中提到】
: You need to get the utility function to balance between cost and risk.
i**M
发帖数: 108
7
For this problem, could you plz show me how to construct a utility?

【在 l*****i 的大作中提到】
: Exactly. It all depends on how you define the overall utility.
l*****i
发帖数: 3929
8
A simple example would be c*p. But it's your model and you should know.

【在 i**M 的大作中提到】
: For this problem, could you plz show me how to construct a utility?
i**M
发帖数: 108
9

Thanks

【在 l*****i 的大作中提到】
: A simple example would be c*p. But it's your model and you should know.
1 (共1页)
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话题: risk话题: cost话题: question话题: dreasing