This paper constructs a stochastic endogenous growth model through introducing into a matching function. We study the stochastic optimization problem of the workers and employers pursuing expectation discount effectiveness (income or profit) maximum in the service market. By using stochastic analysis methods and process, we analyze the relationship between the number of employment, wage and labor input under equilibrium level. Moreover we discuss the workers 'welfare, some helpful results are obtained.
This paper constructs a stochastic endogenous growth model through introducing h into utility function,which is the symbol oflevel of education.We study the productive and welfare utility problem of human capital and education. By using stochastic analysis methodsand Poisson process, we analyze the relationship between the model parameters,welfare and increase rate under equilibrium level. More-over we discuss the individuals'welfare,some helpful results are obtained.
