Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Dynamic Marketing Model : The Case of Piece-Wise Constant Pricing. / Bykadorov, Igor.
Optimization and Applications - 10th International Conference, OPTIMA 2019, Revised Selected Papers. ред. / Milojica Jaćimović; Michael Khachay; Vlasta Malkova; Mikhail Posypkin. Springer Gabler, 2020. стр. 150-163 (Communications in Computer and Information Science; Том 1145 CCIS).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
TY - GEN
T1 - Dynamic Marketing Model
T2 - 10th International Conference on Optimization and Applications, OPTIMA 2019
AU - Bykadorov, Igor
N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We study a stylized vertical distribution channel where a representative manufacturer sells a single kind of good to a representative retailer. The control of the manufacturer is the price discounts, while the control of the retailer is pass-through. In the classical setting, the arising problem is quadratic with respect to wholesale price discount and pass-through. Thus, the optimal sale price is continuous. It seems elegant mathematically but not adequate economically. Therefore we assume that the controls are constant or piece-wise constant. This way, the optimal control problem reduces to the mathematical programming problem where the profit of the manufacturer is quadratic with respect to price discount level(s), while the profit of the retailer is quadratic with respect to pass-through level(s). We study the concavity property of the profits. This allows getting the optimal behavior strategies of the manufacturer and the retailer.
AB - We study a stylized vertical distribution channel where a representative manufacturer sells a single kind of good to a representative retailer. The control of the manufacturer is the price discounts, while the control of the retailer is pass-through. In the classical setting, the arising problem is quadratic with respect to wholesale price discount and pass-through. Thus, the optimal sale price is continuous. It seems elegant mathematically but not adequate economically. Therefore we assume that the controls are constant or piece-wise constant. This way, the optimal control problem reduces to the mathematical programming problem where the profit of the manufacturer is quadratic with respect to price discount level(s), while the profit of the retailer is quadratic with respect to pass-through level(s). We study the concavity property of the profits. This allows getting the optimal behavior strategies of the manufacturer and the retailer.
KW - Concavity
KW - Piece-wise constant pricing
KW - Retailer
KW - Sale motivation
UR - http://www.scopus.com/inward/record.url?scp=85078452225&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-38603-0_12
DO - 10.1007/978-3-030-38603-0_12
M3 - Conference contribution
AN - SCOPUS:85078452225
SN - 9783030386023
T3 - Communications in Computer and Information Science
SP - 150
EP - 163
BT - Optimization and Applications - 10th International Conference, OPTIMA 2019, Revised Selected Papers
A2 - Jaćimović, Milojica
A2 - Khachay, Michael
A2 - Malkova, Vlasta
A2 - Posypkin, Mikhail
PB - Springer Gabler
Y2 - 30 September 2019 through 4 October 2019
ER -
ID: 23256799