Large-Scale Bundle Size Pricing: A Theoretical Analysis

Large-Scale Bundle Size Pricing: A Theoretical Analysis
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大规模捆绑定价:理论分析

DOI:
10.2139/ssrn.2907118
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发表时间:
2017
期刊:
ERN: Pricing (Topic)
影响因子:
--
通讯作者:
Josh E. Reed
Josh E. Reed
中科院分区:
--
文献类型:
--
作者:
Tarek Abdallah;A. Asadpour;Josh E. Reed

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捆绑包大小定价(BSP)是一种多维销售机制,公司根据捆绑包的大小而不是不同可能的捆绑包组合来定价。在BSP,该公司为客户提供不同大小和价格的菜单。然后,客户选择使其盈余最大化的大小,并根据其选择的大小定制其捆绑包。虽然BSP在几个行业中普遍使用,但关于BSP的最优规模和价格以及其利润的理论属性,人们知之甚少。在本文中,我们提供了一个简单易处理的理论框架来分析一个多产品企业大量销售产品的大规模BSP问题。BSP问题一般是困难的,因为它涉及到对顺序统计量的优化,然而,我们证明了对于大量的产品,BSP问题从一个困难的多维问题转化为一个具有凹效用和递增效用的简单的多单位定价问题。我们的框架使我们能够确定BSP效率低下的主要来源,即跨产品的边际成本的异质性。为此,我们提出了两种新的BSP策略,分别称为“簇式BSP”和“分类BSP”,大大降低了常规BSP的效率。然后,我们利用我们的框架来研究BSP的更丰富的模型,例如当客户有预算时以及当存在多种客户类型时。
Bundle size pricing (BSP) is a multi-dimensional selling mechanism where the firm prices the size of the bundle rather than the different possible combinations of bundles. In BSP, the firm offers the customer a menu of different sizes and prices. The customer then chooses the size that maximizes his surplus and customizes his bundle given his chosen size. While BSP is commonly used across several industries, little is known about the optimal BSP policy in terms of sizes and prices along with the theoretical properties of its profit. In this paper, we provide a simple and tractable theoretical framework to analyze the large-scale BSP problem where a multi-product firm is selling a large number of products. The BSP problem is in general hard as it involves optimizing over order statistics, however we show that for large numbers of products, the BSP problem transforms from a hard multi-dimensional problem to a simple multi-unit pricing problem with concave and increasing utilities. Our framework allows us to identify the main source of inefficiency of BSP that is the heterogeneity of marginal costs across products. For this reason, we propose two new BSP policies called "clustered BSP'' and "assorted BSP'' that significantly reduce the inefficiency of regular BSP. We then utilize our framework to study richer models of BSP such as when customers have budgets and when there exists multiple customer types.
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: --
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DOI: 10.1137/1.9781611975031.133
发表时间: 2018
期刊: Proceedings of the 29th Annual ACM-SIAM Symposium on Discrete Algorithms
影响因子: --
作者:
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