应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2007年
1期
224-232
,共9页
随机增长%随机最优化%Bellman方程%政府支出
隨機增長%隨機最優化%Bellman方程%政府支齣
수궤증장%수궤최우화%Bellman방정%정부지출
Stochastic growth%Stochastic optimization%Bellman equation%Government expenditure
文章建立一个随机内生增长模型来阐明主要政策参数对经济增长与社会福利的影响.若对生产函数、效用函数、偏好及随机干扰作一些特殊的假设,我们证明了主要政策参数的均衡值能被模型参数唯一决定.进一步我们还得到了期望增长率与储蓄的清晰解.文章的最后,我们证明了政府支出直接影响个体决策者的决策:即提高经济增长率将减少福利;反之,增加福利将减少增长率.
文章建立一箇隨機內生增長模型來闡明主要政策參數對經濟增長與社會福利的影響.若對生產函數、效用函數、偏好及隨機榦擾作一些特殊的假設,我們證明瞭主要政策參數的均衡值能被模型參數唯一決定.進一步我們還得到瞭期望增長率與儲蓄的清晰解.文章的最後,我們證明瞭政府支齣直接影響箇體決策者的決策:即提高經濟增長率將減少福利;反之,增加福利將減少增長率.
문장건립일개수궤내생증장모형래천명주요정책삼수대경제증장여사회복리적영향.약대생산함수、효용함수、편호급수궤간우작일사특수적가설,아문증명료주요정책삼수적균형치능피모형삼수유일결정.진일보아문환득도료기망증장솔여저축적청석해.문장적최후,아문증명료정부지출직접영향개체결책자적결책:즉제고경제증장솔장감소복리;반지,증가복리장감소증장솔.
The paper employs an endogenous stochastic growth model to analyze the role of main economic indicators in affecting economic growth and welfare.With specific assumption on production technology and utility function,preference and stochastic shocks,we prove that the equilibrium values of the main economics indicators can be uniquely determined by the model parameters.Furthermore,we derive the explicit solution of the expected growth rates of consumption and savings.Finally,if government expenditure impacts directly on the consumption and production of the private agent,then increasing economic growth means decreasing welfare or decreasing economic growth means increasing welfare.Therefore,we can't have the cake and eat it.