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Existence and characterization of optimal dynamic pricing strategies with reference-price effects

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In this paper, we revisit the problem of existence of an optimal dynamic pricing strategy when the demand depends on a reference price. Using alternative assumptions and technique to those… Click to show full abstract

In this paper, we revisit the problem of existence of an optimal dynamic pricing strategy when the demand depends on a reference price. Using alternative assumptions and technique to those typically used in the literature, we show the existence of a unique pricing policy parametrized in the initial value of the reference price. Our main results are as follows: if this value is low enough, then the best option is to implement a penetration pricing. If it is high enough, then price skimming is optimal. If the initial reference price has an intermediate value, then constant pricing throughout the planning horizon is optimal.

Keywords: pricing; price; optimal dynamic; existence; reference price

Journal Title: Central European Journal of Operations Research
Year Published: 2020

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