基于非对称成本的设计竞赛博弈模型及奖金设置

论从项目业主的角度出发，利用博弈论和信息经济学理论和方法，在竞赛参与人成本不对称条件下，建立了一个项目业主和多个设计竞赛参与人组成的设计竞赛博弈模型；并在竞赛参与人成本函数分别为线性函数、凹函数和凸函数的条件下，研究对项目业主最优的竞赛奖金设置，研究表明：对于项目业主最优的奖金设置是单项奖金的方式。     

博弈参与人的偏好对最优反应的影响分析

在现实社会中，每个人都有自己的偏好，因此在博弈过程中，参与人的不同偏好在其选择策略时起着不同的作用。本文运用多目标决策方法研究了总需求不确定情况下具有风险偏好的企业决策者关于一种产品价格博弈模型和均衡，并进一步讨论了参与人具有相同偏好和不同偏好情况下风险厌恶程度、价格对需求影响程度等参数对参与人最优反应的影响。     

不完全信息研发合作的形成及参与人行为选择因素

本通过囚徒困境重复博弈模型的思想研究合作研发中参与人合作策略形成的条件，考察了不完全信息研发合作中参与人合作行为的基础，并在此基础上讨论了研发合作中合作预期收益、不合作激励和合作机会成本对参与人研发合作行为选择的影响。     

基于和谐发展的政府主管部门与旅游开发商博弈分析

在构建和谐旅游的过程中，政府主管部门与旅游开发商之间在面对公共资源的保护与监督方面存在着博弈关系。通过对其静态博弈模型和动态博弈模型的分析研究，认为在构建和谐旅游的过程中，博弈各方参与人应该共同合作，严格履行各自职责，统筹各种社会资源，综合解决社会协调发展问题。     

幼稚产业保护中的动态博弈分析

本文建立了A国政府、A国幼稚产业与B国产业三个参与人的幼稚产业保护动态博弈模型,分析了其博弈的顺序、参与人的策略集合及支付函数,按照逆向归纳法的思想给出了子博弈精练均衡的求解方法与步骤。     

工程项目主体在风险管理合作中的演化博弈分析

运用演化博弈分析方法,以业主及承包商在项目风险管理中的合作为例,建立项目主体在风险管理中合作的演化博弈模型,通过模型分析了模型中各参数对演变系统的影响、业主及承包商合作策略的演变规律,指出影响工程项目各方实现风险管理合作的主要影响因素是风险管理合作的成本及风险损失或收益的分配机制.     

全支付拍卖模型的信息结构及其对均衡的影响分析

研究全支付拍卖模型中参与人的参与结构以及均衡问题.首先给出了非对称信息下参与人的参与选择问题,分析了异质参与人的参与选择.尔后给出了参与人参与均衡策略,给出当参与人估价分布函数在对称和非对称情形时,竞赛中的对称均衡策略.最后给出了当均衡存在时,竞争对手对均衡分布函数的估计.     

全支付拍卖模型的信息结构及其对均衡的影响分析——纪念李国平院士吴新谋教授诞辰100周年

研究全支付拍卖模型中参与人的参与结构以及均衡问题.首先给出了非对称信息下参与人的参与选择问题,分析了异质参与人的参与选择. 尔后给出了参与人参与均衡策略,给出当参与人估价分布函数在对称和非对称情形时, 竞赛中的对称均衡策略.最后给出了当均衡存在时, 竞争对手对均衡分布函数的估计.     

企业人力资本所有者与所有权安排的博弈分析

我们利用博弈论的基本思想和基本方法，从人力资本所有与非人力资本所有以及人力资本所有之间博弈关系的角度，构建企业人力资本所有与所有权安排的博弈模型，从博弈的视角对企业人力资本所有与所有权安排进行分析，探究企业人力资本所有与所有权安排中参与人之间的合约关系，给出一个关于企业人力资本所有分享所有权的一般性解释。     

无限参与人市场博弈中可传递效用核的存在性

文章考虑一个具有无限多参与人与无限维商品空间的生产经济.在这样的生产经济中,构建一类具有无限参与人的市场博弈,并定义出其中可传递效用核.结合过去有限参与人合作均衡存在性定理,文章主要证明了市场博弈中可传递效用核的存在性.具有无限维商品空间和无限多参与人市场博弈的构建,与市场博弈中的可传递效用核的存在性证明为文章的两个主要贡献.     

Sewing homeomorphism and conformal invariants

This paper is devoted to the study of some fundamental properties of the sewing homeomorphism induced by a Jordan domain. In particular, using conformal invariants such as harmonic measure, extremal distance, and reduced extremal distance, we give several necessary and sufficient conditions for the sewing homeomorphism to be bi-Lipschitz or bi-Hlder. Furthermore, equivalent conditions for a Jordan curve to be a quasicircle are also obtained.     

Weighted Oscillation and Variation Inequalities for Singular Integrals and Commutators Satisfying Hrmander Type Conditions

This paper is devoted to investigating the weighted L~p-mapping properties of oscillation and variation operators related to the families of singular integrals and their commutators in higher dimension. We establish the weighted type(p, p) estimates for 1 p ∞ and the weighted weak type(1,1) estimate for the oscillation and variation operators of singular integrals with kernels satisfying certain Hormander type conditions, which contain the Riesz transforms, singular integrals with more general homogeneous kernels satisfying the Lipschitz conditions and the classical Dini's conditions as model examples. Meanwhile, we also obtain the weighted L~p-boundeness for such operators associated to the family of commutators generated by the singular integrals above with BMO(R~d)-functions.     

Quantitative properties on the steady states to a Schrödinger–Poisson–Slater System

In this paper, we obtain the existence, uniqueness and asymptotic behavior of steady states to a class of Schrödinger-Poisson-Slater System.     

Fractal dimensions of fractional integral of continuous functions

In this paper,we mainly explore fractal dimensions of fractional calculus of continuous functions defined on closed intervals.Riemann–Liouville integral of a continuous function f(x) of order v(v0) which is written as D~(-v) f(x) has been proved to still be continuous and bounded.Furthermore,upper box dimension of D~(-v) f(x) is no more than 2 and lower box dimension of D~(-v) f(x) is no less than 1.If f(x) is a Lipshciz function,D~(-v) f(x) also is a Lipshciz function.While f(x) is differentiable on [0,1],D~(-v) f(x) is differentiable on [0,1] too.With definition of upper box dimension and further calculation,we get upper bound of upper box dimension of Riemann–Liouville fractional integral of any continuous functions including fractal functions.If a continuous function f(x) satisfying H?lder condition,upper box dimension of Riemann–Liouville fractional integral of f(x) seems no more than upper box dimension of f(x).Appeal to auxiliary functions,we have proved an important conclusion that upper box dimension of Riemann–Liouville integral of a continuous function satisfying H?lder condition of order v(v0) is strictly less than 2-v.Riemann–Liouville fractional derivative of certain continuous functions have been discussed elementary.Fractional dimensions of Weyl–Marchaud fractional derivative of certain continuous functions have been estimated.     

Long time dynamics of the 3D radial NLS with the combined terms

In this paper,we study the scattering and blow-up dichotomy result of the radial solution to nonlinear Schrodinger equation(NLS) with the combined terms iu_t+△u=-|u|~4u+|4|~(p-1)u,1+4/3p5 in energy space H~1(R~3).The threshold energy is the energy of the ground state W of the focusing,energy critical NLS,which means that the subcritical perturbation does not affect the determination of threshold,but affects the scattering and blow-up dichotomy result with subcritical threshold energy.This extends algebraic perturbation in a previous work of Miao,Xu and Zhao[Comm.Math.Phys.,318,767-808(2013)]to all mass supercritical,energy subcritical perturbation.     

Topics on the Geometry of Rational Homogeneous Spaces

This is a survey paper about a selection of results in complex algebraic geometry that appeared in the recent and less recent litterature, and in which rational homogeneous spaces play a prominent role. This selection is largely arbitrary and mainly reflects the interests of the author.     

Molecular Characterization of Anisotropic Musielak–Orlicz Hardy Spaces and Their Applications

Let A be an expansive dilation on R~n and φ:R~n× [0,∞)→[0,∞) an anisotropic Musielak–Orlicz function.Let H_A~φ(R~n) be the anisotropic Hardy space of Musielak–Orlicz type defined via the grand maximal function.In this article,the authors establish its molecular characterization via the atomic characterization of H_A~φ(R~n).The molecules introduced in this article have the vanishing moments up to order s and the range of s in the isotropic case(namely,A:=2I_(n×n)) coincides with the range of well-known classical molecules and,moreover,even for the isotropic Hardy space H~p(R~n)with p∈(0,1](in this case,A:=2I_(n×n),φ(x,t) :=t~p for all x∈R~n and t∈[0,∞)),this molecular characterization is also new.As an application,the authors obtain the boundedness of anisotropic Calderón–Zygmund operators from H_A~φ(R~n) to L~φ(R~n) or from H_A~φ(R~n) to itself.     

A Complete Characterization of Multivariate Normal Stable Tweedie Models through a Monge-Ampère Property

Extending normal gamma and normal inverse Gaussian models, multivariate normal stable Tweedie (NST) models are composed by a fixed univariate stable Tweedie variable having a positive value domain, and the remaining random variables given the fixed one are real independent Gaussian variables with the same variance equal to the fixed component. Within the framework of multivariate exponential families, the NST models are recently classified by their covariance matrices V(m) depending on the mean vector m. In this paper, we prove the characterization of all the NST models through their determinants of V(m), also called generalized variance functions, which are power of only one component of m. This result is established under the NST assumptions of Monge-Ampère property and steepness. It completes the two special cases of NST, namely normal Poisson and normal gamma models. As a matter of fact, it provides explicit solutions of particular Monge-Ampère equations in differential geometry.     

点星网与度量空间的映像

拓扑空间X的覆盖列{P_i}_(i∈N)被称为空间X的点星网,若x∈X,则{st(x,P_i)}_(i∈N)是x在X中的网.本文刻画具有cs有限cs覆盖列的点星网的空间,并将其表示为度量空间在确定映射下的像.在假设集族性质β满足适当的条件下,证明对拓扑空间X下述条件相互等价:(1) X具有β且cs覆盖列的点星网.(2)X具有β且sn覆盖列的点星网.(3)X是Cauchy sn对称空间且具有σ-β的cs网.(4) X是Cauchy sn对称空间且具有σ-β的sn网.(5) X是度量空间的序列覆盖、π且σ-β映像.(6) X是度量空间的1序列覆盖、紧且σ-β映像.这些工作以局部有限集族与点有限集族为特例,拓展了从基到cs网的研究,丰富了映射与空间的相互分类思想.