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A measure of the variability of revenue in auctions: A look at the revenue equivalence theorem

机译:衡量拍卖收入可变性的一种方法:查看收入等价定理

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One not-so-intuitive result in auction theory is the revenueequivalence theorem, which states that as long as an auctioncomplies with some conditions, it will on average generate thesame revenue to an auctioneer as the revenue generated by anyother auction that complies with them. Surprisingly, the conditionsare not defined on the payment rules to the bidders but on thefact that the bidders do not bid below a reserve value—set bythe auctioneer—the winner is the one with the highest bidding andthere is a common equilibrium bidding function used by all bidders. Inthis paper, we verify such result using extensive simulation of abroad range of auctions and focus on the variability orfluctuations of the results around the average. Such fluctuationsare observed and measured in two dimensions for each type ofauction: as the number of auctions grows and as the number ofbidders increases.
机译:拍卖理论中一个不太直观的结果是收入等价定理,该定理指出,只要拍卖符合某些条件,它平均就能为拍卖人带来与其他任何符合拍卖条件的拍卖相同的收入。出乎意料的是,条件并未在竞标者的付款规则上定义,而实际上竞标者的竞标价格没有低于拍卖人设定的底价(中标者),中标者是出价最高的人,并且所有人都有共同的均衡竞标功能投标人。在本文中,我们通过对国外拍卖范围的广泛模拟来验证这种结果,并着重于平均水平附近结果的可变性或波动性。对于每种拍卖,都在两个维度上观察和测量了这种波动:随着拍卖数量的增加和竞标者数量的增加。

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