Optimal investment with vintage capital: Equilibrium distributions

The paper concerns the study of equilibrium points, or steady states, of economic systems arising in modeling optimal investment with vintage capital, namely, systems where all key variables (capitals, investments, prices) are indexed not only by time but also by age. Capital accumulation is hence described as a partial differential equation (briefly, PDE), and equilibrium points are in fact equilibrium distributions in the variable of ages. A general method is developed to compute and study equilibrium points of a wide range of infinite dimensional, infinite horizon, optimal control problems. We apply the method to optimal investment with vintage capital, for a variety of data, deriving existence and uniqueness of equilibrium distribution, as well as analytic formulas for optimal controls and trajectories in the long run. The examples suggest that the same method can be applied to other economic problems displaying heterogeneity. This shows how effective the theoretical machinery of optimal control in infinite dimension is in computing explicitly equilibrium distributions. To this extent, the results of this work constitute a first crucial step towards a thorough understanding of the behavior of optimal paths in the long run.     

道路交通对城市空间形态的影响

城市交通方式和道路系统的布局对城市的规模和空间结构分布具有重大影响 ,同样它作为重要的基础设施和对外交流通道对城市的发展方向也起着重大的引导作用。本文通过对道路交通的研究 ,揭示了城市的演变规律和发展趋势。     

我国股票市场的混沌探析

运用混沌理论对我国股票市场进行了实证研究 ,结果显示我国股票市场是一个低自由度的混沌系统 ,具有自相似的非线性结构 ,并且这种非线性结构可以用 GARCH( 1 ,1 )模型来拟合。     

SEM图像分形维数的影响因素研究

以玻璃光纤、碳纤维纸和两种机加工表面样本的扫描电子显微镜图像为对象,运用盒维法研究了不同的放大倍数和采集过程中受到的噪声干扰对分形维数的影响.研究结果表明,随着放大倍数增大或随着椒盐噪声密度和高斯随机噪声方差的减小,分形维数下降.放大倍数和噪声对分形维数都有较大影响.在扫描电子显微镜图像分形维数的计算中,可以依据试样的结构特征选择合适的放大倍数,进行去噪处理后再计算图像的分形维数.     

Noisy chaotic dynamics in commodity markets

The nonlinear testing and modeling of economic and financial time series has increased substantially in recent years, enabling us to better understand market and price behavior, risk and the formation of expectations. Such tests have also been applied to commodity market behavior, providing evidence of heteroskedasticity, chaos, long memory, cyclicity, etc. The present evaluation of futures price behavior confirms that the resulting price movements can be random, suggesting noisy chaotic behavior. Prices could thus follow a mean process that is dynamic chaotic, coupled with a variance that follows a GARCH process. Our conclusion is that models of this type could be constructed to assist in forecasting prices in the short run but not over long run time periods.First version received: June 2001/Final version received: March 2003     

"司法和谐"的三个向度

司法和谐是和谐社会的应有之义,是法治建设的目标,是现代司法理念的创新。通过对和谐主义模式的构建、协同主义的推动、多元纠纷解决机制的确立等三方面的分析,阐释了司法和谐的向度。     

企业价值网络竞争优势研究

本文提出的企业价值网络概念是对各种新兴运作模式的提炼与深化。企业价值网络具备网络经济、规模经济、风险对抗、粘滞效应和速度效应五种基本竞争优势效应。企业构筑价值网络的主要职责是：明确网络的客户价值定位，制定网络战略；根据网络战略吸收网络成员，建立通畅的信息沟通模式和有效的协调机制；合理分配网络利益，增强网络成员之间的信任，及时调整网络成员。     

基于多维技术创新地图维法耦合的技术创新路径构建及实例分析

基于现有创新理论并结合当代技术发展特征,创建了多维技术创新地图,构建了基于多维技术创新地图维法耦合的技术创新路径。结合煤层气开采卸压消突创新实例,验证了该方法的可行性和有效性,即提高了技术创新路径构建的客观性,从技术创新本质层面指导技术创新活动的开展,有助于为企业开展技术创新活动提供决策支持。     

我国大众文化的双重维度辩证发展探析

建国以来，我国的文化发展可分为两个时期：改革开放之前主要发展文化事业，改革开放后，文化产业的越来越快速发展。当前，我国文化发展还存在很多的问题。一定要将文化事业与文化产业结合发展，两个维度和谐统一，促进文化健康发展。     

基于时间维度的组织学习理论——组织从过去经历中学习的模型

从经历中学习是组织学习的重要方面。从科学、严谨的研究范式出发,结合东方传统的"阴阳"哲学思想,基于时间维度提出了包含学习主体、经历样本、成功失败经历集、学习主体特征、"知"和"行"等要素的组织从过去经历中学习的模型,并对相关问题进行了探究。具体包括:学习主体从经历中学习的认知特性;不同类型经历对应的不同学习方法,成功经历和失败经历对学习效果的差异性影响,经历集影响"知"和"行"的7种自动的和有意的学习方式;"知"与"行"相互转化及其触发机制;客观世界从时间和空间两个维度客观展开的观点等。该系统模型为未来研究提供了理论框架和实证检验方向。