期货市场的简单博弈分析

本是对多空双方各存在一个大户的简单期货市场进行博弈分析，讨论了大户和散户的博弈行为，得出在完全信息、不完全信息和不完美信息条件下的博弈情况及其均衡结果，以此为基础推出期货市场投资结成联盟，成立投资基金是一种趋向。     

逆向选择、信号传递与管理层收购

管理层收购(MBO)是现阶段我国产权改革实践中的一个热点问题，虽然由于种种原因，被认为在我国当前经济环境下不宜施行，但仍然具有其独特的优点。目前，社会普遍关注的是MBO的操作规程及其财务风险等问题，而忽视了对企业管理层成员的筛选。本认为，在这种筛选过程中存在逆向选择问题。并试图证明通过信号传递能够实现分离均衡。     

整合农药企业与资源利用效率问题的博弈分析

本首先概述了我国农药企业的状况，分析了农药企业对资源利用、环境污染、生态安全及人畜健康的影响，说明了改变我国农药企业状况的必要性。其次，就整合农药企业与资源利用效率问题进行博弈分析，得到的结果是：整合后的企业个数越少，则资源利用总量越少而总收益反而越大，从而论证了整合的可行性和有效性。最后，指出了在我国加入WTO的背景下，整合农药企业的若干途径措施。本旨在为科学整合农药企业，提供理论指导与决策依据。     

对我国金融监管运行机制的博弈分析

本文介绍了我国金融监管运行机制的现状,建立了金融监管的分析模型,依据模型对金融监管运行机制进行了博弈分析。在此基础上,提出了完善我国金融监管制度的三点政策建议。     

多大户期货市场博弈分析

本是对存在多个大户的期货市场的博弈分析，讨论了大户和散户的博弈行为，得出在完全信息和不完全信息条件下的博弈情况及其均衡，为期货市场的大户在复杂情况下选择投资行为提供新的思路。     

虚拟企业收益分配问题博弈研究

收益分配是虚拟企业的一个敏感而关键的问题，制订合理的收益分配方案对虚拟企业无疑是重要的。本分析了虚拟企业收益分配过程应考虑的因素，在此基础上应用博弈论建立了虚拟企业收益分配的博弈模型，并进行了相关分析，所得出的结论可用于虚拟企业的收益分配策略的制订，最后，论证了在虚拟企业中进行合作机制设计和应用的必要性。     

农民科技培训的博弈分析

本构造了一个对农民进行培训的博弈论模型。分析了农民对于普通的农业科技培训和专门培训选择的可能性，并且讨论了家庭收入对于农民参加科技培训积极性的影响。指出为了迅速提高农村劳动力的素质，国家应加大对培训的投入，制定相应的激励机制。     

四方主体参与下的环境规制演化博弈分析

环境污染问题严重阻碍了我国经济和社会的发展,我国当下的环境治理逐步形成多主体治理模式。本文将环境治理中的四个主要相关主体“中央政府-地方政府-企业-公众”置于统一框架下,建立了四方演化博弈模型,并利用数值仿真模拟参数变化对博弈系统不同主体稳定策略的影响,得到以下结论:(1)四方演化博弈系统的16个纯策略均衡点中,共有8个条件稳定点,其余8个均衡点在任何条件下都不稳定。其中8个条件稳定点代表着我国环境治理中各利益相关主体可能呈现的策略均衡,策略集中某策略的相对净收益决定了相关主体的策略选择。(2)通过数值仿真分析发现,增大中央政府对地方政府消极执行的处罚、增大中央政府转移支付和增大中央政府对地方政府消极执行的追加处罚不仅能够提升地方政府的环保执法力度,而且可以提高企业减排积极性。提高环境规制标准、增大对企业非法排污的处罚,对地方政府、企业和公众的策略选择都会产生影响,可以使系统更快向“中央政府不严格监管、地方政府积极执行、企业合法排污、公众不举报”的理想稳定状态演化,但提高环境规制标准的效果会略优于加大对企业处罚。地方政府增大企业治污补贴短期内可有利于实现经济的可持续发展,但过高的企业治污补贴将不利于博弈系统达到理想稳定状态,是一种非长效的环境治理模式。提高公众举报奖励可以促使企业合法排污,并在一定程度上加快实现博弈系统的理想稳定状态。最后,分别从中央政府、地方政府和公众角度提出了环境治理的相关建议。     

合作联盟资源集成计划一种新方法

合作联盟里，资源集成计划往往是联盟成员群体谈判博弈的结果。本以两人博弈为例，对联盟的资源集成计划给出一个谈判博弈模型，能够较好地模仿和反映合作联盟资源整合计划的制订过程。     

矩阵博弈的胜利度和“僵局”

矩阵博弈又称有限对抗博弈，而对抗博弈的结果必是一方胜利，失败或双方和局，本首先给出胜利、失败和和局的数学模型，接着给出描述胜利程度的概念-胜利度并讨论了胜利度的几个简单性质，依此分析了传统矩阵博弈出现“僵局”的原因并指出排除“僵局”的方法。     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.