Stochastic Model Of Economic Growth And Its Dynamic Analysis

This paper researchs economic growth problems in random environment by the stochastic analysis method. The paper consists of two parts mainly, the first part discusses stochastic models of economic growth, the second part analyzes stochastic dynamic optimal problems.Chapter 2 research Solow model in economy which have random disturbance. For the homogeneous production function, if the stochastic Solow model exists unique solution, then the solution have Markov properties, and it is diffusion processes, and the section obtains the stable distribution of the solution.Chapter 3 establishes stochastic economic growth AK model, and analyzes the unique existence as well as the Markov property of the model solution, and analyzes the asymptotically stability of the model equilibrium solution, and also obtains the probability density function of the capital-labor rate.Chapter 4 introduces uncertain factors into the Romer model, and establishes the stochastic Romer model, discusses the dynamic properties of the stochastic model, and carries on numerical analysis.Chapter 5 first discusses random Bismut problem, obtains optimal deposit policies under uncertain, and Bismut optimal growth. Second, this chapter establishes the stochastic model of economic growth with endogenous institution, and analyzes the dynamic properties of the model, obtains the optimum capital way of storage quantity as wel as the density of stable distribution.