考虑异质性的锦标竞赛机制设计

异质性在锦标竞赛中普遍存在,但是学术界研究较少.对于异质性问题,该文分析参赛者之间的博弈关系、参赛者(代理人)与竞赛组织者(委托人)之间的委托代理关系,建立优化模型,设计最优机制,求解最优努力和最优收益,研究异质性如何影响锦标竞赛的机制参数、努力水平和收益高低.研究发现:(i)异质性会改变锦标机制,源于参赛者变弱的异质...

The Mechanism Design of Tournament Incorporating Heterogeneity

Although heterogeneity is popular in tournament,it receives few academic attentions.The game relationship between contestants,the principal-agent relationship between contestants called the agents and tournament organizer as the principal are analyzed.The optimization model is developed to design the optimal mechanism,attain the optimal efforts and the optimal revenues.The effects of heterogeneity on the optimal mechanism,efforts and revenues are investigated,respectively.The findings can be concluded as follows.Firstly,the heterogeneity will change the tournament mechanism.The heterogeneity resulting from weaker contestants will reduce the mechanism parameters monotonously,while that from stronger contestants will decrease and then increase the parameters.Secondly,the heterogeneity will reduce competition level of tournament because all the contestants,no matter strong or weak,make less effort.Thirdly,in case of the heterogeneity, the contestant with low ability can only gain the reserved revenues,but the contestant with high ability can obtain extra revenues that will decrease when heterogeneity becomes too large.Finally,the heterogeneity resulting from weaker contestants will decrease the principal's profits,while that from stronger contestants can increase the principal's profits only when contestants becoming strong enough.