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对彩票销售这一经济活动进行了深入分析,通过引入复合风险倾向函数、效用函数及边际效用的概念,解决了彩票这种新型的投资模式和传统的经济学投资理论之间的矛盾。并由此得到了影响彩票销售的最重要的因素—头奖金额。同时,又用方差来描述奖级设置和奖金分布的合理性,并建立了彩票方案合理性的判定模型。且运用模型对现存典型的方案进行了分析和优化,得到了最优的方案。
This paper deeply analyzes the economic activities of lottery sales and solves the contradiction between the new lottery investment mode and the traditional economics investment theory by introducing the concept of composite risk propensity function, utility function and marginal utility. And thus get the most important factor affecting lottery sales - the first prize amount. At the same time, variance is used to describe the rationality of prize-setting and bonus distribution, and a judging model of the rationality of lottery scheme is established. The model is used to analyze and optimize the existing typical schemes, and the optimal scheme is obtained.