Research On Improving The Scientific Literacy Of Young People Based On Group Game Dynamic

The population games is an effective analytical framework to study the process of mutual influence and interaction of decision making among a large number of anonymous individuals.In classical population games,individuals are assumed to be boundedly rational.As a reserve army of scientific and technological talents,the scientific quality of teenagers will directly play a significant role in China’s the future development,and the decision-making behavior among the participating groups in the process of improving the scientific quality of teenagers also shows the characteristics of the population game model,at the same time,each participating subject will be disturbed by the random factors in the game process.Thus,it is necessary to analyze the process of teenagers’ science quality improvement by invoking evolutionary game theory and stochastic analysis theory.In this thesis,we mainly study the problem of teenagers’ science quality improvement by establishing deterministic evolutionary dynamics model and stochastic one,respectively.This thesis is divided into four chapters,as follows.Chapter 1 is the introduction,about the background and significance of the selected topic based on population game dynamics and the problem of teenagers’ science quality improvement,as well as the current status of domestic and international research on population games,evolutionary games and stochastic evolutionary games.Chapter 2 presents the preliminaries for the thesis.It contains the basic model of population games and their equilibrium points,the evolutionary stability of replication dynamics,stochastic evolutionary games.Chapter 3 mainly establishes the replication dynamics model of the populations involved in the teenagers’ science quality improvement problem based on the bounded rationality of individuals.By the replication dynamics theory,we analyze the evolutionary process of the populations in the teenagers’ science quality improvement,we furtherly by verify the evolutionary results numerical simulations.In addition,the stochastic disturbance term is added into the deterministic replicative dynamics system and the stochastic analysis theory is utilized to analyze the influence of stochastic disturbance factors on the evolutionary process.Finally,numerical simulations are utilized to analyze the effects of different disturbance parameters on the evolutionary process.Chapter 4 is a summary and outlook of this thesis.