A Simple Mechanism for a Budget-Constrained Buyer

A Simple Mechanism for a Budget-Constrained Buyer
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适合预算有限的买家的简单机制

DOI:
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发表时间:
2018
期刊:
Workshop on Internet and Network Economics
影响因子:
--
通讯作者:
Kangning Wang
Kangning Wang
中科院分区:
--
文献类型:
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作者:
Yu Cheng;N. Gravin;Kamesh Munagala;Kangning Wang

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研究了在预算存在的情况下,一个添加剂购买者垄断问题的经典贝叶斯机制设计。在这种情况下,一个拥有m个不同商品的垄断卖方面对一个单一的买方,并寻求最大化她的收入。买方有一个预算和附加估值独立绘制的每一个项目从(不相同的)分布。我们表明,当买方的预算是公开的,它是更好地分别出售每一个项目,销售大捆绑提取一个恒定的最佳收入的一部分。当预算是私人的,我们考虑一个标准的贝叶斯设置,其中买方的预算B是从一个已知的分布B。我们证明了如果B独立于估值(这是必要的),并且分布B满足单调风险率条件,则单独出售或在大捆绑中出售物品仍然是近似最优的。
We study a classic Bayesian mechanism design setting of monopoly problem for an additive buyer in the presence of budgets. In this setting, a monopolist seller with m heterogeneous items faces a single buyer and seeks to maximize her revenue. The buyer has a budget and additive valuations drawn independently for each item from (non-identical) distributions. We show that when the buyer’s budget is publicly known, it is better to sell each item separately; selling the grand bundle extracts a constant fraction of the optimal revenue. When the budget is private, we consider a standard Bayesian setting where buyer’s budget b is drawn from a known distribution B. We show that if b is independent of the valuations (which is necessary) and distribution B satisfies monotone hazard rate condition, then selling items separately or in a grand bundle is still approximately optimal.
DOI: 10.1145/2764468.2764539
发表时间: 2014-09
期刊: Proceedings of the Sixteenth ACM Conference on Economics and Computation
影响因子: --
作者:
C. Daskalakis;Alan Deckelbaum;Christos Tzamos
通讯作者: C. Daskalakis;Alan Deckelbaum;Christos Tzamos