arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1209.2131cs.GT
收藏

核心选择组合拍卖中的偏离激励研究

On the Incentive to Deviate in Core Selecting Combinatorial Auctions

Vineet Abhishek, Bruce Hajek

摘要:

联合王国最近的频谱拍卖以及美国未来频谱拍卖的一些建议都是以初步价格发现回合为基础,然后计算获胜买家的最终价格。例如,价格可以是Vikrey价格对核心报告价格的预测。使用维克雷价格应该会导致更直接的投标,但这一预测在一定程度上逆转了投标人如实报告的动机。不过,我们推测,获胜买家支付的价格不会比出价增加得快,就像在第一价格拍卖中一样。如果这种推测是错误的,那就相当令人不安了。该猜想是建立在一个星形网络设置的买家与其他买家不相交的群体进行交互。对于任意核心选择支付规则和任意大于或等于2的整数w,存在一个有w个获胜买家的市场设置,使得某个获胜买家支付的价格至少比出价快(1-1/w)倍.

英文摘要:

Recent spectrum auctions in the United Kingdom, and some proposals for future auctions of spectrum in the United States, are based on preliminary price discovery rounds, followed by calculation of final prices for the winning buyers. For example, the prices could be the projection of Vikrey prices onto the core of reported prices. The use of Vikrey prices should lead to more straightforward bidding, but the projection reverses some of the incentive for bidders to report truthfully. Still, we conjecture that the price paid by a winning buyer increases no faster than the bid, as in a first price auction. It would be rather disturbing if the conjecture is false. The conjecture is established for a buyer interacting with disjoint groups of other buyers in a star network setting. It is also shown that for any core-selecting payment rule and any integer w greater than or equal to two, there is a market setting with w winning buyers such that the price paid by some winning buyer increases at least (1-1/w) times as fast as the price bid.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑