Analysis and forecast for growth of lottery sales based on optimal control model

Abstract

Based on the optimal control theory, this paper analyzes the relationship among the growth of lottery sales and the accumulation of capital and the rate of accumulation. By the introduction of Hamilton function, we established a mathematical model and calculate the satisfied equation. Using a simple model, we realized data fitting for the corresponding formula by Matlab through dealing with the sales and the funds of prize pool of the super lotto from 2014 to 2018. We made some forecasts according to the results.