基于改进复制动态方程的邻避事件随机演化博弈模型

明晰邻避事件相关主体的行为机理,是把握邻避事件演化规律,破解邻避困境的关键.考虑到群体示范效应带来的策略间依存关系,引入激励系数改进传统复制动态方程,并引入高斯白噪声来刻画邻避事件演化过程中受到的随机扰动,构建不确定环境下邻避事件的随机演化博弈模型.研究发现,同一群体内部的影响力更强的策略收敛速度更快,但影响力超过...     

超速驾驶行为的进化博弈分析

针对交通管理中经常要面对的超速驾驶行为,建立了驾驶员群体之间以及驾驶员群体与交管部门之间的博弈模型及其复制动态方程,并对动态方程做了分析与讨论,得出了博弈模型中各博弈方的进化稳定策略,提出了一些控制和减少超速行为的合理建议.     

客运问题的进化博弈分析

构建了客运车主群体之间以及客运车主群体与客运管理部门之间的博弈模型及其复制动态方程,并对复制动态方程做了分析与讨论,得出了博弈模型中各博弈方的进化稳定策略,并根据所提出的博弈模型,提出了合理性建议.     

基于进化博弈方法的相互威慑稳定性分析

在危机管理和冲突分析中,力量对等冲突方之间的相互威慑是否具有稳定性问题,一直存在疑义。本文基于进化博弈论视野,给出了直接求解3×3和4×4鹰—鸽博弈扩展模型进化稳定策略ESS(EvolutionaryStableStrategy)的方法,画出了3×3鹰—鸽扩展博弈的相位图,得出了威慑策略是进化稳定策略的结论,从而对上述问题进行了有说服力的解释。     

两类零售企业竞争策略选择的演化博弈分析

运用演化博弈理论分析了在同一市场两类零售企业行为的演化过程.根据两类企业竞争策略的复制者动态方程,分析了两类企业策略选择的演化均衡特征,并分析了一些主要参数对企业竞争策略选择的影响.结果表明,企业的相对实力和两企业竞争成本的乘积对企业行为的演化起着至关重要的作用.     

海关走私监管的演化博弈分析

利用演化博弈的方法对海关缉私部门和走私商之间相互作用时的策略,进行了分析。结果表明：当企业进行走私活动的收益大于不走私的收益、海关缉私部门对走私企业处罚力度过轻或对缉私检查的成本过高时,走私必然发生。要确保走私的发生率降低,就必须对进行走私的企业进行严惩,降低其的预期收益。同时,要加强缉私队伍建设。     

公路客运监管的进化博弈分析

运用进化博弈理论研究公路客运监管问题,建立了公路客运监管问题的博弈模型,分析了公路客运车主和公路客运管理者之间的行为选择,得到了博弈方的复制动态方程,研究了博弈模型的进化稳定策略。探讨了影响进化稳定策略的因素。研究结果表明公路客运车主和公路客运管理者在有限理性基础上得到的进化稳定策略与博弈双方的收益、系统所处的初始状态有关,并根据所提出的博弈模型,提出了合理性建议。     

基于演化博弈理论的知识服务网络复制动态模型

在知识服务网络中,知识供应方和知识需求方在传递知识的过程中进行着重复博弈,并根据收益矩阵选择有利策略逐渐模仿,最终采用某个策略达到了演化稳定均衡状态.首先,根据演化博弈理论,建立了知识服务网络的复制动态演化博弈模型.然后,采用多智能体建模仿真方法及Netlogo仿真平台对所建模型进行仿真分析.最后,通过仿真分析得到在不同的初始情况下,知识主体最终的演化稳定策略与各主体中采取合作策略的初始比例和鞍点的大小关系有关,验证了所建立模型的正确性.     

基于养老产业进人机制的演化博弈分析

为应对日益严重的人口老龄化问题,政府需要创造条件吸引企业加入到养老产业中来.结合相关文献,首次将演化博弈理论引入到养老问题的研究中,根据养老产业特点在模型中加入品牌效应和风险成本,在此基础上探讨了养老产业的进入机制.研究结果表明:地方政府减税、现金补偿等激励措施是影响企业进入养老产业的主要因素;扩大地方政府的"品牌效应"有利于提高地方政府采取激励措施的积极性.     

有限理性条件下演化博弈行为分析

基于博弈双方有限理性的假设,运用动力系统的相关理论和方法对一般2×2非对称演化博弈过程建立了动态复制方程,并对博弈双方在演化过程中的行为进行了分析,得出博弈双方交互系统均衡点及稳定性相应的结论及其全部动力学行为.     

Improved stability techniques for the solution of Navier-Stokes equations

When solving the Navier-Stokes equations for transient incompressible viscous flow problems, one normally encounters a decrease in numerical stability of the time integration algorithm with an increase in Reynolds number. This instability cannot be easily overcome due to the non-linearities present. The present paper, using the finite element method to integrate the equations in the spacial dimension, incorporates a time-staggered semi-implicit fractional step technique to improve stability at the higher Reynolds numbers. Unlike the upwind or directional differencing schemes normally employed to increase numerical stability, the present scheme does not introduce numerical damping or artificial viscocity, and becomes more stable as the Reynolds number increases. Results for this scheme are compared with various explicit integration schemes for the case of flow around a circular cylinder at Reynolds numbers of 100 to 400. For comparable accuracy the time-staggered semi-implicit fractional step technique was found to be up to 25 times more efficient than the other explicit integration schemes.     

Exponential stability for set dynamic equations on time scales

A new theory known as set dynamic equations on time scales has been built. The criteria for the equistability, equiasymptotic stability, uniform and uniformly asymptotic stability were developed in Hong (2010) [1]. In this paper, we consider the exponential stability, exponentially asymptotic stability, uniform and uniformly exponentially asymptotic stability for the trivial solution of set dynamic equations on time scales by using Lyapunov-like functions.     

Global stability for nonlinear dynamic equations with variable coefficients

We give sufficient conditions under which the trivial solution of a nonlinear dynamic equation with variable coefficients is globally asymptotically stable, for arbitrary time scales unbounded above.     

Improved global exponential stability for delay difference equations with impulses

In this paper, by means of constructing an impulsive delay difference inequality, we study the global exponential stability for a class of delay difference equations with impulses. A new criterion ensuring the global exponential stability of the equilibrium point is obtained, which is less restrictive and conservative than that given in the earlier reference. An illustrative example is given to demonstrate the effectiveness and advantage of the obtained result.     

On the exponential stability of dynamic equations on time scales

In this paper, we deal with some theorems on the exponential stability of trivial solution of time-varying non-regressive dynamic equation on time scales with bounded graininess. In particular, well-known Perron's theorem is generalized on time scales. Under rather restrictive condition, that is, integral boundedness of coefficient operators, we obtain a characterization of the uniformly exponential stability.     

Linearized stability analysis of two-dimension Burnett equations

The linearized stability analyses of two-dimension Burnett equations were studied in present paper for the first time. The characteristic stability equation of two-dimension original Burnett equation was first derived and the characteristic curve was achieved. The material derivatives in original Burnett equations are then replaced with the Euler and Navier-Stokes equations. The stabilities of these two alternative Burnett equations are then analyzed. The linearized stability analyses show that the two-dimension original Burnett and Euler-based Burnett equations are not stable while the Navier-Stokes-based Burnett equations are stable. The critical Knudsen number for the original Burnett and Euler-based Burnett equations are 0.074 and 0.353, respectively. These critical Knudsen number are smaller than those of corresponding one-dimension equations. The two-dimension Burnett equations are more unstable than one-dimension equations.     

Linearized stability analysis of discrete Volterra equations

Various different types of stability are defined, in a unified framework, for discrete Volterra equations of the type x(n)=f(n)+∑ⁿ_j=0K(n,j,x(n)) (n?0). Under appropriate assumptions, stability results are obtainable from those valid in the linear case (K(n,j,x(n))=B(n,j)x(j)), and a linearized stability theory is studied here by using the fundamental and resolvent matrices. Several necessary and sufficient conditions for stability are obtained for solutions of the linear equation by considering the equations in various choices of Banach space , the elements of which are sequences of vectors (, , n,j?0, etc.). We show that the theory, including a number of new results as well as results already known, can be presented in a systematic framework, in which results parallel corresponding results for classical Volterra integral equations of the second kind.     

The stability analysis of dynamic SPECT systems

Summary. SPECT (Single Photon Emission Computed Tomography) techniques have been applied to a wide range of medical studies. The stability of a SPECT model depends strongly upon the data collected. We show that a SPECT model is full rank and well-conditioned (stable) if the projection data are large enough. Condition number estimates for a linear model are given. Numerical results for a class of linear models confirm our theoretical analysis. Received February 1, 1996 / Revised version received August 2, 1996     

A stability theorem of backward stochastic differential equations and its application

In this Note, we establish a stability theorem for backward stochastic differential equations, and we apply this theorem to study the homogenization of systems of semilinear parabolic partial differential equations.     

Static and dynamic stability for geometrically nonlinear governing equations of elastic thin shallow shells

In this study, the governing equations for large deflection of elastic thin shallow shells are deduced into an algebraic cubic equation to determine the unknown coefficient of the assumed deflection by applying Galerkin's method in combination with the algebraic polynomial and Fourier series. For the dynamic problem, the coefficient is replaced by an unknown function of time; after the same process is applied, the governing equations are deduced to be a nonlinear ODE of order two called the Duffing equation, and its analytical solution is known. The combination of the algebraic polynomial and Fourier series gives very rapid convergence in the asymptotic solutions.