Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/179970 
Year of Publication: 
2018
Series/Report no.: 
Economics Discussion Papers No. 2018-50
Publisher: 
Kiel Institute for the World Economy (IfW), Kiel
Abstract: 
This article presents a dynamic pricing model of a retailer selling an inventory, accounting for consumer behavior. The authors propose an optimal control model, maximizing the intertemporal profit with consumers sensitive to the selling price and to a reference price. The optimal dynamic pricing policy is solved with Pontryagin's maximum principle with a structural (general) demand function. They obtain an original pricing rule, which explicitly accounts for the impact of price and inventory on future profits. The dynamics of price do not have to imitate the dynamics of the reference price. Instead, the dynamics of price are tied to opposing effects linked to this reference price. The authors also discuss managerial implications with regards to behavioral pricing policies.
Subjects: 
dynamic pricing
inventory
reference price
behavioral pricing
optimal control
JEL: 
C61
D03
D40
M21
M37
Creative Commons License: 
cc-by Logo
Document Type: 
Working Paper

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