摘要
针对现有"拍照赚钱"APP任务定价不合理导致拍照任务完成率不高的问题,基于博弈论知识,采用博弈定价模型,从尽可能满足商家和会员的最大效用出发,得到商家比预期所省成本最大和会员比预期所得效益最大的均衡策略,结果显示任务完成率为84.38%,比原有定价方案提高了26.11%.之后对定价模型进一步拓展,建立任务打包定价模型,即贝叶斯-纳什博弈模型和会员转移模型,进而得到较为合理的打包定价,进一步优化"拍照赚钱"的定价模式.
In this paper,we consider the problem of low completion rate of the photographing task due to unreasonable pricing of current "photo earning" APP task.We exploit a game pricing model based on game theory to obtain a balanced strategy to maximize expected benefits for both merchants and members.Numerical results show that the task completion rate is 84.38% ,which is increased by 26.11% in comparison with the original pricing plan.Moreover,we further expand our proposed pricing model to establish a task-based package pricing model,i.e.,a Bayesian-Nash game model and membership transferring model,which gives more reasonable package pricing and further optimizes the "photo earning" pricing mode.
作者
张天舒
曾志豪
李世磊
荆燕飞
ZHANG Tianshu1 , ZENG Zhihao2 , LI Shilei3 ,JING Yanfei4(1. School of Computer Science and Engineering,University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China; 2. School of Information and Communication Engineering, University of Electronic Science and Technology of China,Chengdu, Sichuan 611731, China ;3. School of Electronical Science and Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China ; 4. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, Chin)
出处
《数学建模及其应用》
2018年第1期37-42,62,共7页
Mathematical Modeling and Its Applications
关键词
拍照赚钱
博弈论
贝叶斯-纳什均衡
多方博弈
taking pictures and making money
game theory
Bayesian-Nash equilibrium
multi-party game