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Pricing, Allocation, and Overbooking in Dynamic Service Network Competition When Demand Is Uncertain

机译：需求不确定时动态服务网络竞争中的定价，分配和超额预订

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摘要

We study the problem of combined pricing, resource allocation, and overbooking by service providers involved in dynamic noncooperative oligopolistic competition on a network that represents the relationships of the providers to one another and to their customers when service demand is uncertain. We propose, analyze, and compute solutions for a model that is more general than other models reported in the revenue management literature to date. In particular, previous models typically consider only three or four of five key revenue management features that we have purposely built into our model: (1) pricing, (2) resource allocation, (3) dynamic competition, (4) an explicit network, and (5) uncertain demand. Illustrative realizations of the abstract problem we study are those of airline revenue management and service provision by companies facing resource constraints. Under fairly general regularity conditions, we prove existence and uniqueness of a pure strategy Nash equilibrium for dynamic oligopolistic service network competition described by our model. We also show, for an appropriate notion of regularity, that competition leads to the underpricing of network services, a finding numerically illustrated by an example of intermediate size. Our proposed algorithm can be implemented using well-known off-the-shelf commercial software.
机译：我们研究了网络上动态不合作的寡头竞争所涉及的服务提供商的组合定价，资源分配和超额预订问题，该网络代表了不确定服务需求时提供商之间的相互关系及其与客户的关系。我们提出，分析和计算一种模型的解决方案，该模型比迄今为止收入管理文献中报告的其他模型更为通用。特别是，以前的模型通常只考虑我们故意在模型中内置的五个主要收入管理功能中的三个或四个：（1）定价，（2）资源分配，（3）动态竞争，（4）显式网络， （5）需求不确定。我们研究的抽象问题的示例性实现是那些面临资源限制的公司的航空公司收入管理和服务提供。在相当普遍的规则性条件下，我们证明了模型所描述的动态寡头服务网络竞争的纯策略纳什均衡的存在和唯一性。对于适当的规律性概念，我们还表明竞争导致网络服务定价过低，这一发现在数值上由一个中间规模的例子说明。我们提出的算法可以使用众所周知的现成的商业软件来实现。

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