SVR在信号传递合约模型Ⅱ量化分析中的应用

SVR-based quantitatively study on signalling contract model

为解决激励合约理论的量化和实际应用问题,提出了信号传递激励合约模型的基于SVR的数值分析方法。利用SVR对效用函数建模,对委托人通过激励合约向代理人传递其特征信号的优化模型Ⅱ进行了量化分析。具体推导出了该模型的梯度表达式,给出了相应的梯度法迭代算法,并进行数值计算和量化分析,观察上述信号传递模型中某些参数变化对合约均衡点变化趋势的影响。计算结果的合理性表明,用基于SVR的数值分析方法定量分析激励合约模型是可行的。

A SVR-based quantitative calculation method is proposed for solving signalling incentive contract model, in order that the relevant theory can be analyzed quantitatively and be put into practical use. Being able to calculate quantitatively, the sup- port vector regression （SVR） is used to express the utility function. Based on that, tile gradient expression of signalling model II is derived for both the principal providing high productivity with heavy workload and the principal supplying low productivity with easy workload, respectively. Then, the relevant gradient descent algorithms are given. Using our method, the signalling incentive contract models above are quantitatively analyzed, and the effects of parameters＇ varying to the changing trends of the signalling models＇ equilibriums are observed. The reasonable results show that it is feasible to solve signalling incentive contract model using our SVR-based quantitative calculation method.