Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts

The progress of communication technology and the Internet has made the dual-channel supply chain have great development. Supply chain members have to compete and cooperate with other enterprises on the chain in order to obtain greater self-benefit. In the competitive-cooperative relationship among e...

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Main Authors: Jin Sha, Sisi Zheng
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2024/2045842
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author Jin Sha
Sisi Zheng
author_facet Jin Sha
Sisi Zheng
author_sort Jin Sha
collection DOAJ
description The progress of communication technology and the Internet has made the dual-channel supply chain have great development. Supply chain members have to compete and cooperate with other enterprises on the chain in order to obtain greater self-benefit. In the competitive-cooperative relationship among enterprises, price discrimination and sales effort are common tools of operation, and Nash equilibrium theory is a common strategy in the process of supply chain game. Whether manufacturers can promote retailers to implement sales efforts through price discrimination and ensure that the overall revenue of the supply chain is improved at the Nash equilibrium is great significance to both the supply chain and individual enterprises. This paper constructs a decentralized dual-channel supply chain mathematical model composed of an independent manufacturer, an offline retailer, and an online retailer, taking into account the impact of the offline retailer’s sales efforts on his demand and its positive external for the other channel. The revenue matrix of retailers’ decisions about whether or not to pay their sales efforts is built under the condition that manufacturers charge different wholesale prices to different retailers and solves the condition of every decision combination becoming the Nash equilibrium using the Nash equilibrium game theory. Finally, the optimal pricing strategy of the manufacturers is analysed to get the constraints of this dual-channel supply chain achieving Pareto improvement when manufacturer uses wholesale price discrimination strategy.
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spelling doaj.art-ca9cd549ce8043859bfd7f9f015e48202024-01-26T00:01:04ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2024-01-01202410.1155/2024/2045842Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales EffortsJin Sha0Sisi Zheng1School of Mechanical EngineeringSchool of Mathematics and StatisticsThe progress of communication technology and the Internet has made the dual-channel supply chain have great development. Supply chain members have to compete and cooperate with other enterprises on the chain in order to obtain greater self-benefit. In the competitive-cooperative relationship among enterprises, price discrimination and sales effort are common tools of operation, and Nash equilibrium theory is a common strategy in the process of supply chain game. Whether manufacturers can promote retailers to implement sales efforts through price discrimination and ensure that the overall revenue of the supply chain is improved at the Nash equilibrium is great significance to both the supply chain and individual enterprises. This paper constructs a decentralized dual-channel supply chain mathematical model composed of an independent manufacturer, an offline retailer, and an online retailer, taking into account the impact of the offline retailer’s sales efforts on his demand and its positive external for the other channel. The revenue matrix of retailers’ decisions about whether or not to pay their sales efforts is built under the condition that manufacturers charge different wholesale prices to different retailers and solves the condition of every decision combination becoming the Nash equilibrium using the Nash equilibrium game theory. Finally, the optimal pricing strategy of the manufacturers is analysed to get the constraints of this dual-channel supply chain achieving Pareto improvement when manufacturer uses wholesale price discrimination strategy.http://dx.doi.org/10.1155/2024/2045842
spellingShingle Jin Sha
Sisi Zheng
Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts
Discrete Dynamics in Nature and Society
title Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts
title_full Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts
title_fullStr Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts
title_full_unstemmed Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts
title_short Research on Nash Equilibrium of Dual-Channel Supply Chain Based on Wholesale Price Discrimination and Sales Efforts
title_sort research on nash equilibrium of dual channel supply chain based on wholesale price discrimination and sales efforts
url http://dx.doi.org/10.1155/2024/2045842
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AT sisizheng researchonnashequilibriumofdualchannelsupplychainbasedonwholesalepricediscriminationandsalesefforts