Rationality judge and optimization design of lottery scheme

The requirements for mature lottery games can become a reality only with the advent of quantitatively known varied lottery schemes. Here, a model has been set up to evaluate the rationality of the lottery sale rules and award settings. With the “charming index” transformed from the utility function, we can quantitatively analyze how much a certain lottery scheme attracts players. Furthermore, we develop an optimum lottery scheme with higher “charming index”, on the basis of Genetic Arithmetic combining Monte Carlo simulation.