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arXiv 1301.2276cs.GT
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序列拍卖中投标策略的动态规划模型:拟线性效用和预算约束

A Dynamic Programming Model for Determining Bidding Strategies in Sequential Auctions: Quasi-linear Utility and Budget Constraints

Hiromitsu Hattori, Makoto Yokoo, Yuko Sakurai, Toramatsu Shintani

摘要:

本文利用动态规划技术,提出了一种求解序列拍卖中最优投标策略的新方法。现有的方法假设用户的效用是以加法的形式表示的。因此,在每个状态下,剩余的货币禀赋必须被显式地表示,并且当初始货币禀赋m变大时,最优投标策略的计算变得耗时。在本文中,我们开发了一个新的问题形式化,通过假设用户的效用可以用准线性形式表示,并将支付表示为状态转换成本,从而避免显式地表示剩余禀赋。实验结果表明,我们可以获得超过m倍的计算时间的加速。在此基础上,提出了一种在预算约束下获得半最优报价策略的方法,并通过实验验证了该方法的有效性。

英文摘要:

In this paper, we develop a new method for finding an optimal biddingstrategy in sequential auctions, using a dynamic programming technique. Theexisting method assumes that the utility of a user is represented in anadditive form. Thus, the remaining endowment of money must be explicitlyrepresented in each state, and the calculation of the optimal biddingstrategy becomes time-consuming when the initial endowment of money mbecomes large.In this paper, we develop a new problem formalization that avoids explicitlyrepresenting the remaining endowment, by assuming the utility of a user canbe represented in a quasi-linear form, and representing the payment as astate-transition cost. Experimental evaluations show that we can obtainmore than an m-fold speed-up in the computation time. Furthermore, we havedeveloped a method for obtaining a semi-optimal bidding strategy underbudget constraints, and have experimentally confirmed the efficacy of thismethod.

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。

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