Supply chain game analysis based on mean-variance and price risk aversion under different power structures

Y.L. Wang, L. Yang, J.H. Chen, P. Li
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Abstract

In view of the random retail price and retailer’s preference for retail price risk aversion, we used mean-variance to describe the uncertainty risk of retail price. To study the impacts of both the retail price uncertainty risk and retail price risk aversion preference on supply chain (SC) decision-making, we constructed a SC game model based on three different power structures, including Manufacturer Stackelberg (MS) game, Retailer Stackelberg (RS) game, and Vertical Nash (VN) game. The results showed that the retail price uncertainty risk and the retailer’s retail price risk aversion preference weakened the manufacturer’s production effort input, decreased the retailer’s enthusiasm for ordering, and damaged the interests of manufacturer and retailer. Under the three different power structures, the production effort input of the manufacturer depended on the production effort affecting wholesale price efficiency and retail price efficiency. The retailer’s expected utility was largest under the MS game model and smallest under the VN game model. The manufacturer’s profits were closely related to each parameter under the three respective power structures. This study provides theoretical guidance for the decision-making of SC enterprises with retail price risk and retailer with retail price risk aversion preference under different power structure situations.
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不同权力结构下基于均值方差和价格风险规避的供应链博弈分析
考虑到零售价格的随机性和零售商对零售价格风险规避的偏好,我们采用均值方差来描述零售价格的不确定性风险。为了研究零售价格不确定性风险和零售价格风险厌恶偏好对供应链决策的影响,我们构建了基于三种不同权力结构的供应链博弈模型,包括制造商Stackelberg (MS)博弈、零售商Stackelberg (RS)博弈和垂直纳什博弈。结果表明,零售价格不确定性风险和零售商的零售价格风险规避偏好削弱了制造商的生产努力投入,降低了零售商的订货热情,损害了制造商和零售商的利益。在三种不同的权力结构下,制造商的生产努力投入依赖于影响批发价格效率和零售价格效率的生产努力。零售商的预期效用在MS博弈模型下最大,在VN博弈模型下最小。在三种权力结构下,制造商的利润与各参数密切相关。本研究为具有零售价格风险偏好的供应链企业和具有零售价格风险厌恶偏好的零售商在不同权力结构下的决策提供理论指导。
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