公平关切下混销模式的E-供应链效率和公平度动态演进

doi:10.6040/j.issn.1671-9352.0.2022.662

Abstract

Abstract:

An E-supply chain composed of a manufacturer and an e-commerce platform with self-established logistics was established. The manufacturer not only sells their products through the e-commerce platform agent, but also wholesales products to the e-commerce platform for distribution. From the perspective of the e-commerce platform′ fairness concern about the dynamic change of information, this paper analyzes the impact of fairness concern about the dynamic change of information on the pricing decisions, efficiency and fairness degree of the E-supply chain under the mixed-sale mode. The research shows that when the e-commerce platform transmits the true fairness concern information or false fairness concern information to the manufacturer, it is beneficial to obtain more profit for itself, but the intensity value of fairness concern should be within a reasonable range, otherwise, it will reduce the subjective fairness degree and objective fairness degree of the supply chain. When the e-commerce platform does not transmit the true fairness concern information to the manufacturer, the profit of each member of the supply chain and the total profit of the supply chain are the lowest, and the efficiency of the supply chain will decrease with the increase of fairness concern. When the proportion of revenue sharing obtained by the manufacturer is within a certain range, it is beneficial to improve the subjective fairness degree and objective fairness degree of the supply chain. However, when it exceeds a certain range, it will reduce the fairness degree of the supply chain.

Key words: fairness concern, mixed-sale mode, E-supply chain, supply chain efficiency, fairness degree

CLC Number:

F274

Min XIAO,Xiaodian ZHANG,Xinhua HE. Dynamic evolution of E-supply chain efficiency and fairness degree in the mixed-sale mode underfairness concern[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(1): 72-84.

Figures/Tables 19

Fig.1

Table 1

Table 2

Table 3

Optimal solution at each stage"

参数	第Ⅰ阶段	第Ⅱ阶段	第Ⅲ阶段	第Ⅳ阶段
w^*	$1 + A 0 2$	$1 + A 0 2$	$1 + θ - A 13 2 + 4 θ$	$1 + θ - A 13 2 + 4 θ$
p_m^*	$δ 2$	$δ 2$	$δ 2$	$δ 2$
p_r^*	$A 2 - 1 2 A 1$	$(δ - 2) θ + A 6 - 1 2 A 1 (1 + θ)$	$A 2 - 1 2 A 1$	$A 18 - (1 + θ + δ θ) 2 A 1 (1 + 2 θ)$
s^*	$1 - δ 2 A 1$	$1 - δ 2 A 1 (1 + θ)$	$1 - δ 2 A 1$	$(1 + 3 θ) (1 - δ) 2 A 1 (1 + 2 θ)$
π_m^*	$A 3 - t δ 4 A 1 - F$	$A 7 4 A 1 (1 + θ) - t δ 4 A 1 - F$	$A 14 4 A 1 (1 + 2 θ) - t δ 4 A 1 - F$	$A 19 4 A 1 (1 + 2 θ) 2 - t δ 4 A 1 - F$
π_r^*	$2 A 0 + A 4 8 A 1$	$2 A 0 (1 + θ) 2 + A 8 8 A 1 (1 + θ) 2$	$2 A 0 (1 + 2 θ) + A 15 8 A 1 (1 + 2 θ)$	$A 20 8 A 1 (1 + 2 θ) 2 + A 0 4 A 1$
π_c^*	$A 5 - 2 δ 8 A 1 - F$	$A 9 8 A 1 (1 + θ) 2 - δ 4 A 1 - F$	$A 5 - 2 δ 8 A 1 - F$	$A 21 4 A 1 (1 + 2 θ) 2 - δ 4 A 1 - F$
u_m^*	$A 3 - t δ 4 A 1 - F$	$A 7 4 A 1 (1 + θ) - t δ 4 A 1 - F$	$A 14 4 A 1 (1 + 2 θ) - t δ 4 A 1 - F$	$A 19 4 A 1 (1 + 2 θ) 2 - t δ 4 A 1 - F$
u_r^*	$2 A 0 + A 4 8 A 1$	$A 10 8 A 1 (1 + θ) + A 11 4 A 1$	$A 16 8 A 1 - 4 F θ + A 13 4 A 1$	$A 20 8 A 1 (1 + 2 θ) 2 + A 0 4 A 1$
u_c^*	$A 5 - 2 δ 8 A 1 - F$	$B 7 8 A 1 + A 12 8 A 1 (1 + θ)$	$(1 + 2 θ) B 7 8 A 1 + A 17 8 A 1$	$A 21 4 A 1 (1 + 2 θ) 2 - δ 4 A 1 - F$

Table 3

Table 4

Subjective and objective efficiency at each stage"

阶段	客观效率E_i^o	主观效率E_i^s
Ⅰ	$A 5 - B 1 B 8$	$A 5 - B 1 B 8$
Ⅱ	$A 9 - B 2 B 8 (1 + θ) 2$	$(1 + θ) B 7 + A 12 B 8 (1 + θ)$
Ⅲ	$A 5 - B 1 B 8$	$(1 + 2 θ) B 7 + A 17 B 8 (1 + 2 θ)$
Ⅳ	$A 21 - B 5 B 8 (1 + 2 θ) 2$	$A 21 - B 5 B 8 (1 + 2 θ) 2$

Table 4

Table 5

Subjective and objective fairness degree in each stage"

阶段	公平度类型	公平度H_i
Ⅰ	客观主观	$Η 1 o = - 1 ln 2 (2 A 3 - B 0 A 5 - B 1 ln 2 A 3 - B 0 A 5 - B 1 + 2 A 0 + A 4 A 5 - B 1 ln 2 A 0 + A 4 A 5 - B 1) Η 1 s = - 1 ln 2 (2 A 3 - B 0 A 5 - B 1 ln 2 A 3 - B 0 A 5 - B 1 + 2 A 0 + A 4 A 5 - B 1 ln 2 A 0 + A 4 A 5 - B 1)$
Ⅱ	客观主观	$Η 2 o = - 1 ln 2 ((1 + θ) (2 A 7 - B 3) A 9 - B 2 ln (1 + θ) (2 A 7 - B 3) A 9 - B 2 + 2 A 0 (1 + θ) 2 + A 8 A 9 - B 2 ln 2 A 0 (1 + θ) 2 + A 8 A 9 - B 2) Η 2 s = - 1 ln 2 ((2 A 3 - B 0) (1 + θ) (1 + θ) B 7 + A 12 ln (2 A 3 - B 0) (1 + θ) (1 + θ) B 7 + A 12 + A 10 + 2 (1 + θ) A 11 (1 + θ) B 7 + A 12 ln A 10 + 2 (1 + θ) A 11 (1 + θ) B 7 + A 12)$
Ⅲ	客观主观	$Η 3 o = - 1 ln 2 (2 A 14 - B 4 (A 5 - B 1) (1 + 2 θ) ln 2 A 14 - B 4 (A 5 - B 1) (1 + 2 θ) + 2 A 0 (1 + 2 θ) + A 15 (A 5 - B 1) (1 + 2 θ) ln 2 A 0 (1 + 2 θ) + A 15 (A 5 - B 1) (1 + 2 θ)) Η 3 s = - 1 ln 2 (2 A 14 - B 4 (1 + 2 θ) B 7 + A 17 ln 2 A 14 - B 4 (1 + 2 θ) B 7 + A 17 + (1 + 2 θ) (A 16 + 2 A 11) (1 + 2 θ) B 7 + A 17 ln (1 + 2 θ) (A 16 + 2 A 11) (1 + 2 θ) B 7 + A 17)$
Ⅳ	客观主观	$Η 4 o = - 1 ln 2 (2 A 19 - B 6 A 21 - B 5 ln 2 A 19 - B 6 A 21 - B 5 + 2 A 0 (1 + 2 θ) 2 + A 20 A 21 - B 5 ln 2 A 0 (1 + 2 θ) 2 + A 20 A 21 - B 5) Η 4 s = - 1 ln 2 (2 A 19 - B 6 A 21 - B 5 ln 2 A 19 - B 6 A 21 - B 5 + 2 A 0 (1 + 2 θ) 2 + A 20 A 21 - B 5 ln 2 A 0 (1 + 2 θ) 2 + A 20 A 21 - B 5)$

Table 5

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Table 1

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参数	含义	参数	含义
p_m	产品在代销模式的销售价格	δ	消费者对代销渠道的接受程度
p_r	产品在分销模式的销售价格	θ_r	电商平台实际的公平关切强度
F	制造商通过电商平台销售产品所花费的固定成本	θ_m	制造商认为电商平台的公平关切强度
s	电商平台提供的服务水平	t	制造商获取的收益比例
w	产品的批发价	k	电商平台的服务成本系数

阶段	电商平台的公平关切类型	公平关切信息状况	公平关切强度
Ⅰ	公平中性	对称	θ_m=θ_r=0
Ⅱ	公平关切	非对称	θ_m=0，θ_r=θ>0
Ⅲ	公平关切	对称	θ_m=θ_r=θ>0
Ⅳ	公平中性	非对称	θ_m=θ>0，θ_r=0

参数	定义	参数	定义
A₀	(t-1)δ	A₁₆	k(1-δ)(1+(1+16F)θ+3δ(1+θ)-tδ(4+8θ))
A₁	2k(1-δ)-1	A₁₇	k(1-δ)(3+5θ+2θ²+δ(1+(7-8t)θ+2(3-8t)θ²))
A₂	k(δ-1)(δ-3)	A₁₈	k(1-δ)(3-δ+5θ-δθ)
A₃	k(1-δ)(1-δ+2tδ)	A₁₉	k(1-δ)(1+4θ+3θ²-δ(1+4θ+3θ²-2t(1+2θ)²))
A₄	k(1-δ)(1-(4t-3)δ)	A₂₀	k(1-δ)((1+3θ)²+δ(3+10θ+7θ²-4t(1+2θ)²))
A₅	k(1-δ)(3+δ)	A₂₁	k(1-δ)(3+14θ+15θ²+δ(1+θ)²)
A₆	k(1-δ)(3-δ+4θ-2δθ)	A₂₂	((2t-1)θ-1)
A₇	k(1-δ)(1+δ(2t(1+θ)-1))	B₀	8FA₁+2tδ
A₈	k(1-δ)(1+2θ+δ(3+6θ+4θ²-4t(1+θ)²))	B₁	8FA₁+2δ
A₉	k(1-δ)(3+4θ+δ(1+2θ)²)	B₂	(1+θ)²(8FA₁+2δ)
A₁₀	k(1-δ)(1+16Fθ(1+θ)+δ(1+2θ)(3+2θ-4t(1+θ)))	B₃	(1+θ)(8FA₁+2tδ)
A₁₁	δ(t(1+2θ)-1-θ)-4Fθ	B₄	(1+2θ)(8FA₁+2tδ)
A₁₂	k(1-δ)(3+δ(1+8(1-t)θ+(4-8t)θ²))	B₅	(1+2θ)²(8FA₁+2δ)
A₁₃	δ(1+θ-t(1+2θ))	B₆	(1+2θ)²(8FA₁+2tδ)
A₁₄	k(1-δ)(1+θ+δ(t(2+4θ)-1-θ))	B₇	(8FA₁(θ-1)+2δA₂₂)
A₁₅	k(1-δ)(1+4θ+δ(3-4t+4θ-8tθ))	B₈	2(2k(1-δ)-δ)-8FA₁

Dynamic evolution of E-supply chain efficiency and fairness degree in the mixed-sale mode underfairness concern

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