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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

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        • 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.

        • 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

            [提示:原图站已失效]

            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。)

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