企业内部的随机分权

在一个信息传递模型框架中考察多部门组织内部权力的随机配置. 研究结论表明,在特定参数范围内,随机分权能提升组织治理局部适应和部门协调的能力;而且,数值分析表明最优组织结构下的集权概率随着部门协调需求和部门经理层激励冲突的上升而增加. 因此,组织主动引入权力配置不确定性本身可能就是最优组织结构的组成部分,从而为随机分权提供了一种理论解读.     

存在网络外部性时组织际信息系统的盈利问题

考虑了网络外部性特性对组织际信息系统(IOS)盈利的最优决策影响,通过设计网络外部性控制机制,分析网络外部性随参与者数量变化的性质;进一步构建组织际信息系统参与者的动态盈利模型,求解最优控制问题,得出变量的最优轨迹;最后通过仿真验证盈利模型有关结果.     

Numerically satisfactory solutions of hypergeometric recursions

Each family of Gauss hypergeometric functions

for fixed (not all equal to zero) satisfies a second order linear difference equation of the form

Because of symmetry relations and functional relations for the Gauss functions, many of the 26 cases (for different values) can be transformed into each other. In this way, only with four basic difference equations can all other cases be obtained. For each of these recurrences, we give pairs of numerically satisfactory solutions in the regions in the complex plane where , and being the roots of the characteristic equation.

     

Arbitrage and Equilibrium in Economies with Externalities

We introduce consumption externalities into a general equilibrium model with arbitrary consumption sets. To treat the problem of existence of equilibrium, a condition of no unbounded arbitrage, extending the condition of Page (1987) and Page and Wooders (1993, 1996) is defined. It is proven that this condition is sufficient for the existence of an equilibrium and both necessary and sufficient for compactness of the set of rational allocations.     

Numerically satisfactory solutions of Kummer recurrence relations

Pairs of numerically satisfactory solutions as for the three-term recurrence relations satisfied by the families of functions , , are given. It is proved that minimal solutions always exist, except when and z is in the positive or negative real axis, and that is minimal as whenever . The minimal solution is identified for any recurrence direction, that is, for any integer values of and . When the confluent limit , with fixed, is the main tool for identifying minimal solutions together with a connection formula; for , is the main tool to be considered.     

Generating infinitely many satisfactory colorings of positive integers

An $n$-satisfactory coloring of the $n$-smooth integers is an assignment of $n$ colors to the positive integers whose prime factors are at most $n$ so that for each such $m$, the integers $m,2m,\dots ,nm$ receive different colors. In this note, we give a short proof that infinitely many 6-satisfactory colorings of the 6-smooth integers exist and show how the technique of the proof can be applied more generally, including for $n\in \{8,10,12\}$.     

Existence of Equilibria in Economies with Externalities and Nonconvexities

We consider a general equilibrium model of an economy in which the production possibilities, the consumption sets and the preferences of the consumers are represented by set-valued mappings which depend on the environment to take into account the possibility of external effect. In order to encompass all kinds of nonconvexities, we do not put any convexity assumption either on the graph of the set-valued mapping which describes the technological possibilities or on the production set for a given environment. The firms are instructed to set their prices according to general pricing rules which may depend on the production plans of other producers and on consumption plans.We report an existence result of general equilibria. As in the model without external effects, the key hypotheses are bounded loss and survival assumptions. Nevertheless, we also assume that the set-valued mappings which describe the fundamentals of the economy are lower semi-continuous and have a closed graph.Our framework is sufficiently large to generalize previous works on the existence of competitive equilibria with externalities when the firms have convex production sets and on the existence of equilibria with general pricing rule without externality.     

A satisfactory treatment of equality and operator constraints in the Dubovitskii-Milyutin optimization formalism

The formalism of Dubovitskii and Milyutin is very attractive but, up to now, it could not be applied to optimization problems involving equality and operator constraints. In the present paper, the formalism of Dubovitskii and Milyutin is extended to this more general situation. Theorem 2.1, the main result of the paper, is applied to the standard mathematical programming problem in normed linear space and an abstract maximum principle is obtained.This research was sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, USAF, under Grant No. AFOSR-68-1529A. The author thanks Dr. K. Makowski for several valuable comments of an earlier draft of the present paper.     

Best possibility of the Furuta inequality

Let , and . Furuta (1987) proved that if bounded linear operators on a Hilbert space satisfy , then . In this paper, we prove that the range and is best possible with respect to the Furuta inequality, that is, if or , then there exist which satisfy but .

     

On the specificity of a possibility distribution

The specificity of a possibility distribution measures the degree to which the distribution allows one and only one element as its manifestation. As such it is a measure of amount of uncertainty or information. We investigate a number of issues related to specificity measures. We discuss the connection between the specificity of a possibility distribution and the entropy of a probability distribution. We describe unifying view for constructing specificity measures. We look at the relationship of the specificity of a distribution and its negation. We consider the case where the base set is continuous.     

On the possibility of simplifying the thermoelastic equation

By some very simple algebraic manipulations, it is shown as the linear thermoelastic equation can be solved by looking for the solutions of much simpler vectorial equations. As an example the displacements of the reflecting surface of a mirror illuminated by a high power laser beam have been evaluated.

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Sommario Utilizzando alcuni semplici passaggi algebrici, viene mostrato come l'equazione degli spostamenti termoelastici possa essere risolta cercando le soluzioni di equazioni vettoriali molto più semplici. Come esempio vengono calcolate le deformazioni della superficie riflettente di uno specchio investito da un fascio laser di grande potenza.

     

Impact of discounting and competition on benefit of decentralization with strategic customers

With strategic customers, we find that a decentralized channel may have higher profit than that of a centralized channel. We show that in addition to the double marginalization effect, both customer and firm discounting and retailer competition are also driving factors of the higher decentralized channel profit.     

证券市场信息传播的数学模型研究

根据信息的传播理论,从信息传播的实际出发,以股票市场中内部信息的传播如何影响股价的波动及交易量的变化为主要研究内容,从全新的角度建立数学模型来描述了信息自身的传播过程,预测传播的高峰时刻,分析其过程中股票交易量的变化情况.给出了该模型的两个定理.定理1说明:传播信息的投资者的人数先单调增加,然后单调减少并趋于零;定理2表明总有一部分人在信息公布之前无法得知内部消息.从模型得出的两个定理与信息传播的真实形式相符合,说明了模型的准确性.     

The best possibility of the grand Furuta inequality

Let be invertible bounded linear operators on a Hilbert space satisfying , and let be real numbers satisfying Furuta showed that if , then . This inequality is called the grand Furuta inequality, which interpolates the Furuta inequality
and the Ando-Hiai inequality ( ).

In this paper, we show the grand Furuta inequality is best possible in the following sense: that is, if , then there exist invertible matrices with which do not satisfy .

     

区域物流的技术网络效应研究

建立了一个基于信息技术网络效应的物流信息化需求模型,来说明信息化带来的技术网络效应是物流厂商加入信息网络的动力所在.并基于1995-2010年30个省、直辖市、自治区的面板数据,运用面板单位根和面板协整方法,证明了区域物流中技术网络效应的存在.     

On the possibility of globally stabilizing invariant sets

In this paper we study the possibility of globally stabilizinginvariant sets of autonomous continuous nonlinear systems bythe state (output) feedback control law. We show that the topologicalstructure of invariant sets can give rise to obstruction tothe existence of a continuous control law for global stabilizationof invariant sets.     

财政分权的博弈分析

构建一个完全信息两阶段博弈模型,分别对财政分权的两个极点—完全分权和完全集权进行讨论,研究财政分权对经济增长及社会福利的影响.     

Centralized DEA models with the possibility of downsizing

While traditional data envelopment analysis (DEA) models assess the relative efficiency of similar, independent decision making units (DMUs) centralized DEA models aim at reallocating inputs and outputs among the units setting new input and output targets for each one. This system point of view is appropriate when the DMUs belong to a common organization that allocates their inputs and appropriates their outputs. This intraorganizational perspective opens up the possibility that greater technical efficiency for the organization as a whole might be achieved by closing down some of the existing DMUs. In this paper, we present three centralized DEA models that take advantage of this possibility. Although these models involve some binary variables, we present efficient solution approaches based on Linear Programming. We also present some numerical results of the proposed models for a small problem from the literature.     

Dynamic decentralization of harvesting constraints in the management of tychastic evolution of renewable resources

This study proposes a new framework to tackle the uncertainty that prevails in the exploitation of renewable resources. It deals with the question of how to guarantee both a minimum multi-species harvest and the renewal of resources when their evolutions are uncertain. The problem is twofold: to decentralize a global constraint (on a multi-species harvest) into local constraints (on the resources of the different species) and, then, to use a “tychastic” approach necessitating only the forecasts of the lowers bounds of the resource growth rates. This study, formulated as a “tychastic” regulated system with viability constraints, departs from stochastic approaches generally used to deal with uncertain situations. It provides the time dependent harvesting rule allowing to always comply with a minimum harvest objective and resources replenishment thresholds whatever happens and a tychastic measure of risk viability in terms of minimum resources initially required. To solve this problem involving global and local constraints a new method that decentralizes the constraints has been devised. An example is presented whose numerical results are obtained thanks to a dedicated software using mathematical and algorithmic tools of viability theory.