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| Analysis and Motivation of Multi-Agent Behavior Relationship Based on Principle-Agent Models of Neutrality, Competition and Cooperation |
| ZHANG Guangjun，CHEN Xubin，LIU Renjing |
| Xi’an Jiaotong University, Xi’an, China |
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Abstract This paper constructs three kinds of principal-agent models: neutrality, competition and cooperation. It analyzes the relationship between the optimal solution of each model and the model parameters, as well as compares and analyzes the applicable conditions of each model. On this basis, this paper proposes a unified double-agent model and promotes it to the circumstance of multi-agent and multi-target. The study results are as follows. In the double-agent model, agents’ optimal effort level and principals’ maximal revenue are positively correlated with agents’ output coefficient and the degree of interaction relationships between the agents, as well as negatively correlated with agents cost of unit effort and market fluctuations. Both the competitive and cooperative relations of the double agents are superior to the independent relationship of double agents. Whether the competitive relation between the double agents is superior to the cooperative relations of double agents or not depends on the size of the incentive effect. In addition, the conclusion of double-agent model can also be applied to the circumstances of single-task & multi-agent and multi-task & multi-agent.
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Received: 24 January 2018
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