基于图模型理论的模糊权力不对称冲突研究

doi:10.16381/j.cnki.issn1003-207x.2021.2205

Abstract

Abstract:

As China’s economy enters the stage of high-quality development， the conflicts between different groups become more complex and intense. For example， under the “3060 carbon peak and neutrality” goal， local governments have taken measures such as “power rationing”， which has caused multiple disputes in the society. Finding a balance between economic growth and reducing energy consumption has become a hot topic. The power asymmetry among decision makers （DMs） is a common problem， and the uncertainty of the power asymmetry makes it more difficult to resolve the conflict. It is of great significance to effectively resolve the power asymmetric conflicts of different degrees between DMs. To further resolve the realistic conflicts with uncertain power asymmetry between DMs， a fuzzy asymmetric power conflict analysis is proposed based on a graph model with two decision makers， a leader and a follower. Firstly， the power structure between DMs is divided into three types in conflicts. Secondly， the graph model for conflict resolution （GMCR） under fuzzy power asymmetry is constructed， which includes fuzzy improved preference of the leader and the follower， and unilateral improvement under fuzzy power for the follower. When power among DMs changes， the preferences of leader and follower also change. Further， the logical and matrix of asymmetry stabilities of the follower and leader under fuzzy power are defined. Finally， the equilibria of supply chain carbon emission reduction conflict of “carbon peak” and “carbon neutral” goals are solved using the proposed stabilities of fuzzy power asymmetry under the framework of graph model for conflict resolution. After analyzing the actual background of supply chain carbon emission reduction conflict under “3060 carbon peak and neutrality” goal， the results of the case study show that the proposed method can effectively resolve the conflict under different power structures. At the same time， the following management enlightenments are also provided： 1） Upstream manufacturer need to attract downstream manufacturer to participate in the research and development of new carbon emission reduction technologies together. 2） In order to promote the realization of carbon emission reduction targets， local governments need to introduce strict carbon emission reduction policies to guide enterprises to produce low-carbon products. And they can dynamically adjust product procurement policies according to the changes of market environment to achieve the ideal balance of conflict resolution. Different with the previous studies， not only the power asymmetry conflict is considered in this paper， but also the fuzzy power structure is taken into account， which further enriches the theoretical research of GMCR.

Key words: graph model for conflict resolution, fuzzy theory, fuzzy power asymmetry, stability analysis

CLC Number:

C934

Lu Chen,Haiyan Xu,Jinmuzi Zhang,Liang He. Study on Fuzzy Power Asymmetric Conflict Analysis Based on the Graph Model[J]. Chinese Journal of Management Science, 2024, 32(9): 59-69.

Figures/Tables 11

权力结构	权力完全对称（ $d = 0$ ）	模糊权力不对称（ $0 ≤ d ≤ 1$ ）	权力完全不对称（ $d = 1$ ）
改良偏好集	$Φ j + (s)$	$Φ ? j f d + (s) = (Φ j +, = (s) ? Φ i * f' + (s)) ? Φ j f + (s)$	$Φ ? j p + (s) = Φ j +, = (s) ? Φ i * + (s)$
强单边改良集	$R j + (s)$	$R ? j f d + (s) = R j (s) ? Φ ? j f d + (s)$	$R ? j p + (s) = R j (s) ? Φ ? j p + (s)$
弱单边改良集	/	$R ? j f w + (s) = R j (s) ? ((Φ j + (s) ? Φ i * f'' =, - (s)) ? Φ j f + (s))$	$R ? j w + (s) = R j (s) ? (Φ j + (s) ? Φ i * =, - (s))$

决策者	策略	状态点
决策者	策略	$s 1$	$s 2$	$s 3$	$s 4$	$s 5$	$s 6$	$s 7$	$s 8$	$s 9$
上游制造商DM1^*	碳减排（ $O 1$ ）	Y	Y	Y	Y	Y	Y	Y	Y	N
上游制造商DM1^*	转移成本（ $O 2$ ）	N	N	N	N	Y	Y	Y	Y	-
下游制造商DM2	协同减排（ $O 3$ ）	N	N	Y	Y	N	N	Y	Y	-
下游制造商DM2	分摊成本（ $O 4$ ）	N	Y	N	Y	N	Y	N	Y	-

状态点	Nash			GMR			SMR			SEQ
状态点	DM1^*	DM2	E	DM1^*	DM2	E	DM1^*	DM2	E	DM1^*	DM2	E
$s 1$	√			√			√			√
$s 2$		√			√			√			√
$s 3$	√	√	*	√	√	*	√	√	*	√	√	*
$s 4$		√		√	√	*	√	√	*		√
$s 5$				√			√			√
$s 6$	√	√	*	√	√	*	√	√	*	√	√	*
$s 7$		√		√	√	*	√	√	*		√
$s 8$	√	√	*	√	√	*	√	√	*	√	√	*
$s 9$	√	√	*	√	√	*	√	√	*	√	√	*

状态点	LNash	FNash	E	FGMR	FSMR	LSEQ	FSEQ	E	LSSEQ	FSSEQ	E
$s 1$	√			√	√	√			√
$s 2$				√	√
$s 3$	√	√	*	√	√	√	√	*	√	√	*
$s 4$				√	√
$s 5$				√	√	√			√
$s 6$	√			√	√	√			√
$s 7$		√		√	√		√			√
$s 8$	√			√	√	√			√
$s 9$	√	√	*	√	√	√	√	*	√	√	*

状态点	FLNash	FFNash	E	FFGMR	FFSMR	FLSEQ	FFSEQ	E	FLSSEQ	FFSSEQ	E
$s 1$	√			√	√	√	√	*	√	√	*
$s 2$				√	√
$s 3$	√	√	*	√	√	√	√	*	√	√	*
$s 4$				√	√
$s 5$				√	√	√	√	*	√	√	*
$s 6$	√			√	√	√	√	*	√	√	*
$s 7$		√		√	√		√			√
$s 8$	√			√	√	√	√	*	√	√	*
$s 9$	√	√	*	√	√	√	√	*	√	√	*

References 21

1	Kilgour D M， Hipel K W， Fang L P. The graph model for conflicts ［J］. Automatica， 1987， 23（1）： 41-55.
2	侯宇航，徐海燕. 基于冲突图模型策略优先权排序法的强度偏好排序研究［J］. 中国管理科学， 2016， 24（9）： 64-70.
	Hou Y H， Xu H Y. Research on option prioritization for strength of preference based on the graph model for conflict resolution［J］. Chinese Journal of Management Science， 2016， 24（9）： 64-70.
3	侯宇航. 基于冲突分析图模型的混合偏好排序研究［D］. 南京：南京航空航天大学， 2016.
	Hou Y H. Conflict analysis based on stackelberg model of matrix representation［D］. Nanjing： Nanjing University of Aeronautics and Astronautics， 2016.
4	Nash J F. Equilibrium points in n-person games［J］. Proceedings of the National Academy of Sciences of the United States of America， 1950， 36（1）： 48-49.
5	Howard N. Paradoxes of rationality： Theory of metagames and political behavior［M］. Cambridge， MA： MIT Press， 1971.
6	Howard N. The present and future of metagame analysis ［J］. European Journal of Operational Research， 1987， 32（1）： 1-25.
7	Fraser N M， Hipel K W. Conflict analysis： Models and resolutions［M］. New York： North-Holland， 1984.
8	Rêgo L C， Vieira G. Symmetric sequential stability in the graph model for conflict resolution with multiple decision makers ［J］. Group Decision and Negotiation， 2017， 26（4）： 775-792.
9	Zhao J S， Xu H Y， Hipel K W， et al. Theory and implementation of sensitivity analyses based on their algebraic representation in the graph model［J］. Journal of Systems Science and Systems Engineering， 2019（5）： 580-601.
10	韩雪山，徐海燕. 基于冲突分析图模型的技术转移冲突的研究［J］. 科技与经济， 2012， 25（5）： 72-76.
	Han X S， Xu H Y. Research on technology transfer conflict based on graph model for conflict analysis［J］. Science & Technology and Economy， 2012， 25（5）： 72-76.
11	Zhao S N， Xu H Y， Hipel K W， et al. Mixed stabilities for analyzing opponents' heterogeneous behavior within the graph model for conflict resolution［J］. European Journal of Operational Research， 2019， 277（2）： 621-632.
12	黄鑫，陈洪转，何益欣. 完全供应中断的复杂装备军民协同创新的供应商风险策略研究［J］. 中国管理科学， 2024， 32（2）： 31-42.
	Huang X， Chen H Z， He Y X. Study on supplier’s risk strategy of military-civilian collaborative innovation about complex equipment under total supply disruption ［J］. Chinese Journal of Management Science， 2024， 32（2）： 31-42.
13	孙红霞，李晓芳，周珍. 双渠道零售商和传统零售商的定价策略［J］. 中国管理科学，2020，28（6）： 104-111.
	Sun H X， Li X F， Zhou Z. Pricing strategy for dual channel retailer and traditional retailer［J］. Chinese Journal of Management Science， 2020， 28（6）： 104-111.
14	陈洪转，黄鑫，王伟明. 考虑成本共担的复杂产品零部件协同创新Stackelberg优化研究［J］. 中国管理科学， 2022， 30（7）： 69-76.
	Chen H Z， Huang X， Wang W M. Stackelberg optimization for spare parts’ collaborative innovation of complex products considering cost sharing［J］. Chinese Journal of Management Science， 2022， 30（7）： 69-76.
15	孙自来，王旭坪，詹红鑫，等. 不同权力结构下制造商双渠道供应链的博弈分析［J］. 中国管理科学， 2020， 28（9）： 154-163.
	Sun Z L， Wang X P， Zhan H X， et al. Game analysis in a manufacturer dual-channel supply chain with different power structure［J］. Chinese Journal of Management Science， 2020， 28（9）： 154-163.
16	Yu J， Kilgour D M， Hipel K W， et al. Power asymmetry in conflict resolution with application to a water pollution dispute in China［J］. Water Resources Research， 2016， 51（10）： 8627-8645.
17	孔杨，徐海燕，房银海. 基于图模型矩阵理论的决策者权力不对称冲突稳定性研究［J］. 控制与决策， 2019， 34（2）： 77-87.
	Kong Y， Xu H Y， Fang Y H. Research on conflict stability of decision-makers’ power asymmetry based on matrix representation of solution concepts［J］. Control and Decision， 2019， 34（2）： 298-308.
18	Xu H Y， Addae B A， Wei R N. Conflict resolution of power asymmetry in the graph model［C］//Proceedings of the 20th International Conference on Group Decision and Negotiation， Toronto， Canada， Jun 7-11 ， Lecture Notes in Business Information Processing， 2020： 42.1-42.7.
19	Zadeh L A. Fuzzy sets［J］. Information & Control， 1965， 8（3）： 338-353.
20	Xu H Y， Hipel K W， Kilgour D M， et al. Conflict resolution using the graph model： Strategic interactions in competition and cooperation［M］. Cham： Springer International Publishing， 2018.
21	Fang L P， Hipel K W， Kilgour D M， et al. A decision support system for interactive decision making—Part Ⅰ： Model formulation［J］. IEEE Transactions on Systems Man and Cybernetics Part C-Applications and Reviews， 2003， 33（1）： 42-55.

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Study on Fuzzy Power Asymmetric Conflict Analysis Based on the Graph Model

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