主题：两个女生和一台二手电视机引来的game theory 和 auction 问题 -- Ready-Go
- 复 我朋友的一点解释
家园 Something might be missed. Firstly, we assume the auction price is a fair maket price.
If B thought she suffered from a loss due to so called Option, she could ask to sell the TV, if the selling price is fair.---Now, A got the same Option to sell or to keep the TV,right? Should this Option be considered?
I think we can not say the loss which B would like to accept is due to OPtion.
If u insist there be a loss, it might be from the buying and selling difference (Repurchase cost). If A and B do sell the TV, A will need to buy another one, that might cost A money and the trading fees. (But the result is the same as the Auction, that is, A keeps the TV,B gets the money.) Such a loss, A wanna share with B by underestimating the market price(Auction price), then it is unfair.
- 复 我朋友的一点解释
家园 这不是在说明该颁奖给我了吗? 家园 要奖品就直说吗，你不说我怎么知道呢 奖品来啦
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然后(就是说要往下翻啦)
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不用太谢我 [提示：原图站已失效]
家园 What matters here is the selling price! I agree with Jlanu.
From the Auction, at price 100, if A buy the TV, she got net value: 100-(80-30)=50;
While B got the net value: 80-30=50
But if u check the original argument:
if discounted at 80%, A got net value:160*0.80-80+(160*0.2)/2=64; B got the net value:80-(160*0.2)/2=64. It is fair enough,right?
If discounted at 60%,similarly, both of them got the net value:48.
Thence, if they can sell the TV higher than 100, the Aucion(selling at 100) is not fair to B;
if sell lower than 100, then the Auction is unfair to A.
What matters here is the possible selling price.
So, ur method might be the most fair one---Just sell it.(I guess.)
家园 嗯，有意思。关键是你朋友并没有考虑到二手市场的价格 从你朋友的分析来看，A显然是花了130大洋买了一个二手电视。
如果能以80大洋从别处买到一个类似质量的二手电视，A显然不会bid for $100。
我觉得这个问题的关键不在于采用那种拍卖方式，而在于二手市场价格。BTW，我那台二十五?嫉亩?手大彩电，才20大洋，呵呵。想想如果A能以20大洋买到另一个二手电视，他会bid多少？在加上他明知道B不想要，他完全可以尽量压低价格。
所以，你朋友那个suppose没有一点根据，自然结果也就没有什么意义。
家园 欢迎经济版的第5位女士。该文可评为经济版2004年 最有趣的小品文。我认为只要双方接受，规则没有更公平、最公平之分（其实是自己笨，回答不了姑娘的问题，等着高人啦。）
