ISSN 0253-2778

CN 34-1054/N

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The equilibrium of principal-agent between principal and experts in group decision making

  • School of Management, Anhui Jianzhu University, Hefei 230022, China

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2014.12.011
  • Received Date: 21 June 2013
  • Accepted Date: 23 June 2013
  • Rev Recd Date: 23 June 2013
  • Publish Date: 30 December 2014
    Abstract

  • Abstract

    There are two game relations in group-decision-making in which decision promoters and experts have inconsistent benefits, one is the relationship between promoters and experts, the other is static game of complete information relationship among experts. Three basic axioms were given, and the influence of a principals goal attainment on an experts payoff was discussed. Comparative analysis of several game models was carried out. The results show that, the principals optimal choice is the game model with experts payoff which contains a deviation penalty function. In addition, the domain of definition of deviation penalty function is only part of the deviation interval. The experts optimal choice is to invest constantly until the deviation of estimation satisfying the request of principal. Finally, the two equilibriums are both achieved. The principal-agent equilibrium satisfies incentive compatibility constraint, thus realizing the benefits of both the principal and the agent.

    Abstract

    There are two game relations in group-decision-making in which decision promoters and experts have inconsistent benefits, one is the relationship between promoters and experts, the other is static game of complete information relationship among experts. Three basic axioms were given, and the influence of a principals goal attainment on an experts payoff was discussed. Comparative analysis of several game models was carried out. The results show that, the principals optimal choice is the game model with experts payoff which contains a deviation penalty function. In addition, the domain of definition of deviation penalty function is only part of the deviation interval. The experts optimal choice is to invest constantly until the deviation of estimation satisfying the request of principal. Finally, the two equilibriums are both achieved. The principal-agent equilibrium satisfies incentive compatibility constraint, thus realizing the benefits of both the principal and the agent.
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    • References(22)
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    Zhu Jianjun, Liu Sifeng, Wang Hehua. Aggregation approach of two kinds of three-point interval number comparison matrix in group decision making[J]. Acta Automatica Sinica, 2007，33（3）：297-301.
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    黄必清，刘文煌，奚兵. 基于智能Agent的群组决策支持系统及基在经营过程管理中的应用[J]. 系统工程理论与实践，2000，20（4）：74-78.
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    Xu Zhenning, Zhang Weiming, Chen Wenwei. Study of GDSS based on MAS[J]. Journal of Management Sciences in China, 2002, 5(1): 85-92.
    徐振宁，张维明，陈文伟. 基于MAS的群决策支持系统研究[J].管理科学学报，2002，5（1）：85-92.
    [19]
    Yang Shanlin, Zhu Keyu, Fu Chao, et al. Simulation of the group decision conformity based on cellular automata model[J]. Systems Engineering: Theory & Practice, 2009，29（9）：115-124.
    杨善林，朱克毓，会超，等.基于元胞自动机的群决策从众行为仿真[J].系统工程理论与实践，2009，29（9）：115-124.
    [20]
    You Zhifeng, Li Yong, Liang Yu, et al. Analysis of the evolutionary groups decision-making mechanism for the large area air defense [J]. Modern Defense Technology, 2005, 33(4):14-17
    [21]
    Du Bin. Entropy model for group decision making based on bounded cooperation mechanism[J]. Chinese Journal of Management, 2011, 8(4):628-632.
    杜宾. 基于有限合作机制的群决策熵模型研究[J]. 管理学报, 2011, 8(4):628-632.
    [22]
    刘智勇, 徐选华. 群决策冲突管理的合作博弈分析[J]. 统计与决策, 2009(11):35-37.
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    [1]
    Razmi J, Songhori M J, Khakbaz M H. An integrated fuzzy group decision making/fuzzy linear programming (FGDMLP) framework for supplier evaluation and order allocation[J]. Int J Adv Manuf Technol, 2009, 43:590-607.
    [2]
    Zerafat Angiz L M, Emrouznejad A, Mustafa A, et al. Selecting the most preferable alternatives in a group decision making problem using DEA[J]. Expert Systems With Applications, 2009, 36:9 599-9 602.
    [3]
    Altuzarra A, Moreno-Jimenez J M, Salvador M. A Bayesian priorization procedure for AHP-group decision making[J]. European Journal of Operational Research, 2007,182: 367-382.
    [4]
    Wei Cunping, Qiu Wanhua, Yang Jiping. Minimum relative entropy aggregation model on group decision making[J]. Systems Engineering: Theory & Practice, 1999，19(8)：38-42.
    魏存平，邱菀华，杨继平. 群决策问题REM集结模型[J].系统工程理论与实践，1999，19(8)：38-42.
    [5]
    Zhu Jianjun, Liu Sifeng, Wang Hehua. Aggregation approach of two kinds of three-point interval number comparison matrix in group decision making[J]. Acta Automatica Sinica, 2007，33（3）：297-301.
    朱建军，刘思峰，王翯华.群决策中两类三端点区间数判断矩阵的集结方法[J].自动化学报，2007，33（3）：297-301.
    [6]
    Fedrizzi M, Giove S. Incomplete pairwise comparison and consistency optimization[J]. European Journal of Operational Research, 2007,183:303-313.
    [7]
    Carmone F J, Kara A. Aanakis S H. A Mont Carlo investigation of incomplete pairwise comparison matrices in AHP[J]. European Journal of Operational Research,1997,102(3):538-553.
    [8]
    Gong Zaiwu, Zhang Lifan, Liu Sifeng. Study on group decision making based on the triangular fuzzy number preference relations under incomplete information[J]. Journal of Systems Engineering, 2008，23（3）：270-276.
    巩在武，张立凡，刘思峰.残缺信息下的三解模糊互补偏好群决策研究[J].系统工程学报，2008，23（3）：270-276.
    [9]
    Chuu S J. Selecting the advanced manufacturing technology using fuzzy multiple attributes group decision making with multiple fuzzy information[J]. Computers & Industrial Engineering, 2009, 57:1 033-1 042.
    [10]
    Liang Changyong, Zhang Enqiao, Qi Xiaowen, et al. A method of multi-attribute group decision making with incomplete hybrid assessment information[J]. Chinese Journal of Management Science, 2009，17(4)：126-132.
    梁昌勇，张恩桥，戚筱雯，等.一种评价信息不完全的混合型多属性群决策方法[J].中国管理科学，2009，17（4）：126-132.
    [11]
    Palomares I, Sanchez P J, Quesada F J. COMAS: A multi-agent system for performing consensus processes[C]// International Symposium on Distributed Computing and Artificial Intelligence. Berlin: Springer, 2011: 125-132.
    [12]
    Li Y, Ding R J, Wu H X. Studies on several problems of analytic hierarchy process[C]// Seventh Wuhan International Conference on E-business, 2008: 1 119-1 122.
    [13]
    Lo C C, Wang P. Using fuzzy distance to evaluate the consensus of group decision-making an entropy-based approach[C]// 2004 IEEE International Conference on Fuzzy Systems. IEEE, 2004, 2: 1 001-1 006.
    [14]
    Chiclana F, Mata F, Alonso S. Group decision making: From consistency to consensus[C]// Modeling Decisions for Artificial Intelligence. Berlin: Springer, 2007, 4617: 80-91.
    [15]
    Herrera-Viedma E, Mata F, Martinez L, et al. An adaptive module for the consensus reaching process in group decision making problems[C]// Modeling Decisions for Artificial Intelligence. Berlin: Springer, 2005, 3558: 89-98.
    [16]
    Alonso S, Herrera-Viedma E, Cabreriz F J. Using visualization tools to guide consensus in group decision making[J]. Applications of Fuzzy Sets Theory, 2007, 4578: 77-85.
    [17]
    Huang Biqing，Liu Wenhuang，Xi Bing. Intelligent agent-based group decision support systems for business process management[J]. Systems Engineering：Theory & Practice，2000，20（4）：74-78.
    黄必清，刘文煌，奚兵. 基于智能Agent的群组决策支持系统及基在经营过程管理中的应用[J]. 系统工程理论与实践，2000，20（4）：74-78.
    [18]
    Xu Zhenning, Zhang Weiming, Chen Wenwei. Study of GDSS based on MAS[J]. Journal of Management Sciences in China, 2002, 5(1): 85-92.
    徐振宁，张维明，陈文伟. 基于MAS的群决策支持系统研究[J].管理科学学报，2002，5（1）：85-92.
    [19]
    Yang Shanlin, Zhu Keyu, Fu Chao, et al. Simulation of the group decision conformity based on cellular automata model[J]. Systems Engineering: Theory & Practice, 2009，29（9）：115-124.
    杨善林，朱克毓，会超，等.基于元胞自动机的群决策从众行为仿真[J].系统工程理论与实践，2009，29（9）：115-124.
    [20]
    You Zhifeng, Li Yong, Liang Yu, et al. Analysis of the evolutionary groups decision-making mechanism for the large area air defense [J]. Modern Defense Technology, 2005, 33(4):14-17
    [21]
    Du Bin. Entropy model for group decision making based on bounded cooperation mechanism[J]. Chinese Journal of Management, 2011, 8(4):628-632.
    杜宾. 基于有限合作机制的群决策熵模型研究[J]. 管理学报, 2011, 8(4):628-632.
    [22]
    刘智勇, 徐选华. 群决策冲突管理的合作博弈分析[J]. 统计与决策, 2009(11):35-37.
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