均衡点

首先，本文给出了以对策论为基础的网络资源分配的模型，讨论了纳什均衡点的性质和帕累托最优的条件，从理论上分析了网络拥塞的公共地悲剧和拥塞计费的作用。

In the first place , we formulate a model of network resource allocation in non-cooperative game , giving a characterization of Nash equilibrium and Pareto optimization , analyzing the network " tragedy of the commons " and the benefit of congestion pricing .

行政干预具体的折抵指标交易过程会降低地级市内部交易价格，颁布使用配额管制政策则通过抑制需求降低价格，使得折抵指标交易市场偏离帕累托有效的均衡点。

Administrative intervention in the specific rewarded quotas transaction process will reduce the internal transaction price of prefecture-level city , and the promulgation of the use of quota control policy to curb demand through lower prices , making rewarded quotas market to deviate from the Pareto efficient equilibrium .

一类保险模型Nash均衡点的存在性

The existence of Nash equilibrium of a class of insurance model

Nash均衡点是博弈论中一个非常重要的概念。

Nash equilibrium is a central concept in game theory .

此文考虑单时段情形因而所建立的模型适合于实时市场，研究的对象是在纯策略意义下的Nash均衡点。

The focus of the study is the Nash equilibrium in pure strategy sense .

给出这种Nash均衡点的存在定理和可交换定理。

And give existence theorem and commutative theorem of Nash equilibrium points in expectation .

在文献中，对CDMA带外MAC算法的性能分析工作一般通过计算机仿真进行，或者通过均衡点分析法（EPA）得到性能指标的一阶矩。

In this paper , the performance analysis for CDMA media access algorithms using out-band signaling was presented .

证明了该博弈算法的纳什均衡点的存在性、唯一性及Pareto有效性。

We prove the existence and uniqueness of Nash Equilibrium point in this game algorithm .

该算法采用模仿者动态机制调整策略使博弈逐步收敛于Nash均衡点。

Strategies for EGR were adjusted by means of replicator dynamic mechanism to reach Nash equilibrium .

当目标研发市场进一步扩大时，就会出现两个纳什均衡点。此时企业A和B只有一方可以选择研发而另一方相应的选择跟随。

As the target market value further increased , there will be two Nash equilibriums , one party may choose to develop and the other party has to choose to follow .

在CVP分析中另一个重要术语是均衡点。

In CVP analysis another important term is break-even point .

当模型的某些参数在一定范围内变化时，Nash均衡点失去稳定性，经倍周期分叉后出现混沌态。

As some parameters of the model vary , the stability of Nash equilibrium would lose and the complex chaotic behavior occurs .

以寡头市场条件下量本利模型的两类混沌态为例，分别用两种形式的控制方法成功、快速地将其控制到Nash均衡点。

Two kinds of chaos of the model of cost-volume-profits under the duopoly market condition are stabilized to a Nash equilibrium point by using the above two methods respectively .

结合分离原理和正倒向随机微分方程理论，我们得到了显式的可观测的Nash均衡点。

Combining the separation principle with the theory of forward and backward stochastic differential equations , we obtain the explicit observable Nash equilibrium point of this kind of game problem .

在此基础上，探讨了在输电网阻塞和不阻塞情况下，电力现货非劣Nash均衡点的特性，显示出电力系统在不同的运行状态下，发电集团具有不一样的生产策略。

On the basis of this model , the characteristics of non-inferior Nash equilibrium of electric spot market are discussed under the condition of congestion and non-congestion of power network .

搏弈分析结果：（1）医疗保险机构与医疗服务机构之间博弈过程中，（P1，P2）是医疗服务机构和医疗保险机构博弈纳什均衡点。

The game analysis results : ( 1 ) ( P1 , P2 ) is the Nash equilibrium of medical service institutions and medical insurance institutions game .

Walras均衡点的通有稳定性

The generic stability of walras equilibrium points

针对Internet用户的贪婪行为，引入非合作博弈理论，为非合作网络中的流速与拥塞控制行为建立模型，论证了上述博弈模型中Nash均衡点的存在性和惟一性。

Because of the greedy behaviors of Internet users , the non-cooperative game theory is introduced to model the behaviors of flow and congestion control in noncooperative network . The existence and uniqueness of the Nash equilibrium point are proved .

同时，设计了消费者的效用函数，论证了资源分配博弈中Nash均衡点的存在性和惟一性以及Nash均衡解。

In the meantime , the utility function of consumer is given ; the entity and the uniqueness of Nash equilibrium in the resource allocation game and the Nash equilibrium solution are discussed .

对一大类的分散化信息结构和博弈，当期望水平的形成存在随机扰动时，Pareto最优的对称策略组将出现在唯一的随机稳定均衡点中。

For a large class of information structures and games , when there exists a trembling in aspiration levels , the unique stochastically stable equilibrium is achieved with the Pareto efficient symmetric outcome .

根据对策论中Nash均衡点的思想和多目标决策中极大模理想点技术，给出了极大Nash理想点的定义，并对多随从双层规划问题引入了极大Nash最优解的概念。

Based on the concept of an equilibrium in Game Theory and the idea of Goal Programming , a Nash-ideal-point conception was introduced , and the new Nash conception for the problem was obtained .

然后将这些结果应用于带随机跳跃的线性二次非零和微分对策问题之中，由上述正倒向随机微分方程的解得到了开环Nash均衡点的显式形式。

Then these results were applied to get the explicit form of the open_loop Nash equilibrium point for nonzero sum differential games problem with random jump by the solution of the forward_backward stochastic differential equations .

且说明进化游戏如何由共同进化算法来具体实现，证实它是否能达到MOP的最佳均衡点。

That is , we will demonstrate how the evolutionary game can be embodied using co-evolutionary algorithms and also confirm whether it can reach the optimal equilibrium point of a MOP .

一个新的弱Pareto-Nash均衡点存在性结果

A new existence result of weakly pareto-nash equilibrium points

研究两种不同情况下企业对系统进行控制，一是在NASH均衡点附近时引入直线控制，另一种是在较远的点时引入直线控制。

Then we study the enterprise control the system in different time point . One is stabilizing chaos in the neighborhood of Nash equilibrium , the other is suppressing chaos in the farther point from Nash equilibrium .

本文针对电力联营体市场拍卖问题，采用动态规划方法处理单机组优化问题，采用LR（拉格朗日松弛算法）、次最优处理和经济调度相结合的方法求解市场均衡点。

The auction problem in power pool is presented . It employs dynamic programming to deal with single unit optimization and adopts a joint method of LR ( Lagrangian Relaxation ), sub-optimal treatment and economic operation to calculate market equilibrium .

详细地讲，Nash均衡点是有限理性的参与者为了达到最优，后悔最小或满意等目标，随着时间的逐步推移，利用自己所收集的信息进行策略或动作调整的长期结果。

In order to reach targets , such as best response , least regret and satisfaction , players with bounded rationality modify their strategy according to collected information in each period . As a result , Nash equilibrium is the long-run consequence of the stepwise strategy modification .

针对两寡头Cournot动态博弈模型，数值仿真出不同市场参数下市场的动态行为，其中着重探讨了当市场参数超出Nash均衡点稳定域后，展现出的周期甚至混沌的动态行为。

Based on the duopoly Cournot game model , the market dynamic behaviors are numerically simulated in different market parameters , in which the periodic or chaotic dynamic behaviors are focused when the market parameters are out of the stability region of Nash equilibrium .

在传统的Hotelling模型的基础上，提出了一个既包含水平差异、又包含垂直差异的竞争模型，并用博弈论的方法分别给出了在两种不同差异条件下的市场均衡点。

On the basis of traditional Hotelling model , a new model is built including both horizontal and vertical differences . Under the condition of the two differences , the Nash equilibriums are given through the method of game theory , and thus used to analyze the impact on enterprises .

农村劳动力转移的动态过程渐进稳定收敛到均衡点；

The dynamic function asymptotic stable converges to the Nash equilibrium .