Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain

The collection and sharing of consumers’ knowledge by retailers can help manufacturers improve the innovation level of products, thereby improving the performance of supply chain. However, due to the cost of collecting consumers’ knowledge, the wholesale price contract can no longer coordinate suppl...

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Main Authors: Yifei Hao, Wei Chen, Hong Yang
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/6538653
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spelling doaj-a2f3b401a5934fc681b206e75ba4a03f2020-11-25T02:00:30ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/65386536538653Collaborative Innovation with Dynamic Incentive Contracts in a Supply ChainYifei Hao0Wei Chen1Hong Yang2College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaResearch Center for Enterprise Management, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Geography and Tourism, Chongqing Normal University, Chongqing 400047, ChinaThe collection and sharing of consumers’ knowledge by retailers can help manufacturers improve the innovation level of products, thereby improving the performance of supply chain. However, due to the cost of collecting consumers’ knowledge, the wholesale price contract can no longer coordinate supply chain members effectively. It is necessary to study the problem how the retailers are encouraged to make more efforts for the cooperative innovation with manufacturers. This paper introduces two dynamic incentive contracts for improving collaborative innovation level in a two-player supply chain, and the impacts of these contracts on supply chain’s performance are investigated, by using a Stackelberg differential game model. The manufacturer, as a Stackelberg leader, determines the R&D investment while the retailer is responsible for the retail price and the efforts in collection of the consumer’s information (or preference) to the products. The model incorporates a wholesale price contract and two incentive contracts to better understand how the manufacturer can facilitate the retailer’s efforts in the collection of consumer’s information and increase the profits of the members of supply chain. Our results suggest that the optimal profit of the supply chain, the retailer’s efforts in the collection of consumer’s knowledge, the retail price, and the innovation level under the reward incentive contract are higher than their counterparts in other contracts. In particular, the retailer’s optimal effort under the reward incentive contract is even higher than the one in the centralized decision scenario. However, if the manufacturer commits an effort target to the retailer, it shows that the retailer’s optimal effort is independent of the target. The manufacturer’s optimal R&D investments are constants in the three contracts under the dynamic setting. Furthermore, numerical simulations show that the effort target has little impact on profits of the supply chain although it affects the decision making of supply chain members to some extent, whereas the retailer’s marginal reward offered by the manufacturer influences the innovation level of product and the supply chain’s profit significantly.http://dx.doi.org/10.1155/2020/6538653
collection DOAJ
language English
format Article
sources DOAJ
author Yifei Hao
Wei Chen
Hong Yang
spellingShingle Yifei Hao
Wei Chen
Hong Yang
Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain
Mathematical Problems in Engineering
author_facet Yifei Hao
Wei Chen
Hong Yang
author_sort Yifei Hao
title Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain
title_short Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain
title_full Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain
title_fullStr Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain
title_full_unstemmed Collaborative Innovation with Dynamic Incentive Contracts in a Supply Chain
title_sort collaborative innovation with dynamic incentive contracts in a supply chain
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description The collection and sharing of consumers’ knowledge by retailers can help manufacturers improve the innovation level of products, thereby improving the performance of supply chain. However, due to the cost of collecting consumers’ knowledge, the wholesale price contract can no longer coordinate supply chain members effectively. It is necessary to study the problem how the retailers are encouraged to make more efforts for the cooperative innovation with manufacturers. This paper introduces two dynamic incentive contracts for improving collaborative innovation level in a two-player supply chain, and the impacts of these contracts on supply chain’s performance are investigated, by using a Stackelberg differential game model. The manufacturer, as a Stackelberg leader, determines the R&D investment while the retailer is responsible for the retail price and the efforts in collection of the consumer’s information (or preference) to the products. The model incorporates a wholesale price contract and two incentive contracts to better understand how the manufacturer can facilitate the retailer’s efforts in the collection of consumer’s information and increase the profits of the members of supply chain. Our results suggest that the optimal profit of the supply chain, the retailer’s efforts in the collection of consumer’s knowledge, the retail price, and the innovation level under the reward incentive contract are higher than their counterparts in other contracts. In particular, the retailer’s optimal effort under the reward incentive contract is even higher than the one in the centralized decision scenario. However, if the manufacturer commits an effort target to the retailer, it shows that the retailer’s optimal effort is independent of the target. The manufacturer’s optimal R&D investments are constants in the three contracts under the dynamic setting. Furthermore, numerical simulations show that the effort target has little impact on profits of the supply chain although it affects the decision making of supply chain members to some extent, whereas the retailer’s marginal reward offered by the manufacturer influences the innovation level of product and the supply chain’s profit significantly.
url http://dx.doi.org/10.1155/2020/6538653
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AT weichen collaborativeinnovationwithdynamicincentivecontractsinasupplychain
AT hongyang collaborativeinnovationwithdynamicincentivecontractsinasupplychain
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