Price and capacity decisions of service systems with boundedly rational customers
Xin Li,
Pengfei Guo and
Zhaotong Lian
Naval Research Logistics (NRL), 2017, vol. 64, issue 6, 437-452
Abstract:
We consider price and capacity decisions for a profit‐maximizing service provider in a single server queueing system, in which customers are boundedly rational and decide whether to join the service according to a multinomial logit model. We find two potential price‐capacity pair solutions for the first‐order condition of the profit‐maximizing problem. Profit is maximized at the solution with a larger capacity, but minimized at the smaller one. We then consider a dynamically adjusting capacity system to mimic a real‐life situation and find that the maximum can be reached only when the initial service rate is larger than a certain threshold; otherwise, the system capacity and demand shrink to zero. We also find that a higher level of customers’ bounded rationality does not necessarily benefit a firm, nor does it necessarily allow service to be sustained. We extend our analysis to a setting in which customers’ bounded rationality level is related to historical demand and find that such a setting makes service easier to sustain. Finally we find that bounded rationality always harms social welfare.
Date: 2017
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https://doi.org/10.1002/nav.21767
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:64:y:2017:i:6:p:437-452
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