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双委托人-双代理人的量子激励机制设计研究

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基于传统的双委托人-双代理人委托代理模型,通过引入经济主体决策的量子纠缠,对传统的契约进行量子化设计,并得出量子纠缠模式下代理人的最优努力水平、委托人的最优激励强度与固定支付,结合数值模拟方法探讨量子纠缠度对主体决策的影响、不同量子纠缠度水平下技术能力和增益系数对主体决策的影响以及量子纠缠度和协同系数对主体决策的联合效应,得出以下几点结论:1)委托人与代理人的量子纠缠在阈值范围内能促使双方实现决策优化,且存在一个最优的量子纠缠水平,使代理人的最优努力水平和委托人的收益水平均实现优化,但超过阈值范围将对双方决策产生负面的影响;2)在适度的量子纠缠度水平下,技术能力和产出增益系数的提升能够对代理人和委托人的经济决策与收益起到更优的效果,但量子纠缠度过高则会出现适得其反的效果;3)在代理人协同效应提高的过程中,量子纠缠度能在一定范围内优化委托人和代理人的契约设计,促进经济主体实现更优的决策。
Research on Design of Quantum Incentive Mechanism with Two Principals and Two Agents
Based on the traditional principal-agent model with two principals and two agents,this paper designs a contract with two principals and two agents by introducing the quantum entanglement of the economic agent's decision making,and obtains the optimal effort level of the agent,the optimal incentive strength of the principal and the fixed payment under the quantum entanglement mode.The influence of quantum entanglement on agent decision mak-ing,the influence of technical capability and gain coefficient at different quantum entanglement levels on agent decision making,and the joint effect of quantum entanglement and cooperation coefficient on agent decision making are discussed with numerical simulation methods.The following conclusions are drawn:1)The quantum entanglement between the principal and the agent within the threshold range can promote both parties to achieve decision optimization,and there is an optimal quantum entanglement level,so that the agent's optimal effort level and the principal's income level can be optimized,but exceeding the threshold range will have a negative impact on the decision of both parties;2)Under a certain quantum entanglement level,the improvement of technical capability and output gain coefficient can play a better effect on the economic decision and income of agents and principals,but too high quantum entanglement will have the opposite effect;3)In the process of improving the agent synergy,quantum entanglement can optimize the contract design between the principal and the agent within a certain range,and promote the economic subject to achieve better decision-making.

quantum incentive mechanismdouble principal-double agent principal-agent modelquantum entanglementsynergistic effect

罗明、范如国、张应青、林金钗

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广西师范大学经济管理学院,广西 桂林54100

武汉大学经济与管理学院,湖北 武汉 430072

贵州财经大学工商管理学院,贵州 贵阳 550025

重庆理工大学管理学院,重庆 400054

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量子激励机制 双委托人-双代理人委托代理模型 量子纠缠度 协同效应

广西自然科学基金广西科技基地和人才专项国家自然科学基金国家自然科学基金

2023JJB180048桂科AD202970587206100372361006

2024

数学的实践与认识
中国科学院数学与系统科学研究院

数学的实践与认识

CSTPCD北大核心
影响因子:0.349
ISSN:1000-0984
年,卷(期):2024.54(8)