nash equilibrium中文解释

纳什均衡是博弈论中的一个概念，指的是在多人博弈中，每个人都采取最优策略时的一种状态。换句话说，每个人都不会单方面改变自己的策略，因为这样做不会让他们更好，只会让他们更差。这种状态被称为纳什均衡，因为它是由约翰·纳什在20世纪50年代提出的。在纳什均衡中，每个人都做出了最好的选择，而且没有人可以通过改变自己的策略来获得更多的好处。

相关问题

 We propose a bi-level bargaining framework for distributed user association and resource allocation. In the followerlevel game, UE competition occurs in a non-cooperative manner. In contrast, full coordination is assumed among the BSs in the leader-level game. Congestion factors are introduced to balance the loads on small BSs with different capacities  We consider two fundamental limitations of HetNets: the backhaul bottleneck and UE capability constraints. Accordingly, constraints are introduced on the wireless resources and maximum number of serving UEs in small BSs to reflect the backhaul bottleneck, and minimum rate requirements for UE devices are introduced to represent the UE capability constraints.  Potential game theory is used to decouple the backhaul bottleneck constraints. The existence, uniqueness and convergence of the Nash equilibrium (NE) of the follower-level game are also verified. Finally, the resident-oriented GS algorithm is used to obtain a stable single-BS association.翻译

我们提出了一个分布式用户关联和资源分配的双层谈判框架。在追随者层次博弈中，UE设备之间以非合作的方式进行竞争。相反，在领导者层次博弈中，假设基站之间完全协调。为了平衡不同容量的小型基站的负载，引入了拥塞因素。我们考虑了HetNets的两个基本限制：后向链路瓶颈和UE能力约束。因此，引入了无线资源和小型基站能够服务的最大UE数量的约束，以反映后向链路瓶颈，并引入了UE设备的最低速率要求来表示UE能力约束。我们使用潜在博弈理论来解耦后向链路瓶颈约束。还验证了追随者层次博弈的纳什均衡（NE）的存在性、唯一性和收敛性。最后，使用面向居民的GS算法来获得稳定的单基站关联。

帮我地道的翻译：The differential variational inequalities ((DVIs), for short) are useful for the study of models involving both dynamics and constraints in the form of in￾equalities. They arise in many applications: electrical circuits with ideal diodes, Coulomb friction problems for contacting bodies, economical dynamics, dynamic traffic networks. Pang and Stewart [26], [27] established the existence, unique￾ness, and Lipschitz dependence of solutions subject to boundary conditions for (DVIs) in finite dimensional spaces. Han and Pang investigated a class of dif￾ferential quasi-variational inequalities in [11], and Li, Huang and O’Regan [18] studied a class of differential mixed variational inequalities in finite dimensional Well-Posedness of Differential Mixed Quasi-Variational-Inequalities 137 spaces. Gwinner [8] obtained an equivalence result between (DVIs) and projected dynamical systems. In [9] he also proved a stability property for (DVIs) by using the monotonicity method of Browder and Minty, and Mosco set convergence. Chen and Wang [4] studied dynamic Nash equilibrium problems which have the formulation of differential mixed quasi-variational inequalities. Elastoplastic contact problems can also be incorporated into (DMQVIs) formulation because general dynamic processes in the nonsmooth unilateral contact problems are governed by quasi-variational inequalities. A numerical study for nonsmooth contact problems with Tresca friction can be found in [10], Liu, Loi and Obukhovskii [19] studied the existence and global bifurcation for periodic solutions of a class of (DVIs) by using the topological degree theory for multivalued maps and the method of guiding functions. For more details about (DVIs) we refer to [3], [30], [12], [22]–[21].

差分变分不等式(DVIs)对于研究涉及动力学和不等式约束的模型非常有用。它们出现在许多应用中：带有理想二极管的电路、接触体的库仑摩擦问题、经济动力学、动态交通网络。Pang和Stewart(26,27)在有限维空间中建立了(DVIs)解的存在、唯一性和利普希茨依赖性的边界条件。Han和Pang在(11)中调查了一类差分拟变分不等式，Li、Huang和O'Regan在有限维空间中研究了一类差分混合变分不等式。Gwinner(8)得到了(DVIs)和投影动力系统之间的等价结果。在(9)中，他还通过使用Browder和Minty的单调性方法以及Mosco集收敛法证明了(DVIs)的稳定性性质。Chen和Wang(4)研究了动态Nash均衡问题，其公式为差分混合拟变分不等式。弹塑性接触问题也可以并入(DMQVIs)公式，因为非光滑单向接触问题中的一般动态过程受到拟变分不等式的控制。在(10)中可以找到Tresca摩擦下的非光滑接触问题的数值研究，Liu、Loi和Obukhovskii在(19)中使用多值映射的拓扑度理论和引导函数法研究了一类(DVIs)的周期解的存在和全局分支。关于(DVIs)的更多细节，我们可以参考(3)，(30)，(12)，(22)-(21)。