相控阵雷达搜索和跟踪资源博弈分配策略

为了解决搜索和跟踪（SAT）资源分配（RA）实时性的问题,提出博弈论视角下的资源分配策略. 建立搜索与跟踪的系统模型,将SATRA建模为非合作博弈问题,将模型中搜索子空域和跟踪多目标间的资源分配问题看作合作博弈关系,利用Shapley值完成相应资源的分配,给出纳什均衡求解的双目标优化模型;为了快速找到符合决策者偏好的分配解,将双目标优化模型通过动态加权的理想点法转化为单目标优化问题,提出并行混合遗传粒子群优化（PHGAPSO）算法求解上述优化问题最优分配方案,仿真验证了博弈分配策略的有效性和先进性以及混合算法性能的优越性. 在相同的条件下,与帕累托双目标优化方法进行对比. 实验结果表明,博弈论的方法具有更高的灵活性,平均搜索信噪比提高了1.02%,平均跟踪目标误差降低了1.55%.     

Multidisciplinary topology optimization solved as a Nash game

In the present work, multidisciplinary optimization is formulated in the game theory framework. We choose a coupled heat transfer—thermoelastic system as the case study for which a topology design approach is developed. The multidisciplinary optimization problem is solved as a non‐cooperative game and we determine a Nash equilibrium. The game has two players and the parameterization of the design domain is such that the design variables describe the material density and a parameter which influences the heat flow by convection to the surrounding fluid. The first player controls the structure and the second player controls the temperature distribution in the structure. For the second player, we present mathematical proof of existence of a discrete valued optimal solution and it is concluded that no regularization of the suboptimization problem is needed. We present two numerical examples which illustrate the proposed methodology. One of the examples is also solved by weighting the objectives to a scalar valued objective function and the result is compared with the Nash game solution. Copyright © 2004 John Wiley & Sons, Ltd.     

Competitive equilibrium in e-commerce: Pricing and outsourcing

The success of firms engaged in e-commerce depends on their ability to understand and exploit the dynamics of the market. One component of this is the ability to extract maximum profit and minimize costs in the face of the harsh competition that the internet provides. We present a general framework for modeling the competitive equilibrium across two firms, or across a firm and the market as a whole. Within this framework, we study pricing choices and analyze the decision to outsource IT capability. Our framework is novel in that it allows for any number of distributions on usage levels, price–QoS tradeoffs, and price and cost structures.     

基于博弈论的P2P系统分析

P2P系统近几年来在网络上有飞速的发展,然而随着用户对网络和P2P系统的了解,使得P2P系统中大量存在欺骗行为,从而导致效率下降。文中以解决P2P系统中的欺骗为目的,通过引入博弈论思想从宏观和微观两方面对P2P系统进行分析：宏观上通过建立数学模型分析P2P系统效率下降甚至崩溃的原因;微观上,通过合理的论证,提出一种以牙还牙机制对P2P系统的欺骗问题进行解决。     

区域综合能源系统供需双侧多能博弈互动策略

随着综合能源市场化的持续推进,区域综合能源系统中各能源主体交互不断深入,能源枢纽作为多种能源转换传输和交易的纽带,实现了不同能源主体之间的耦合。在此背景下,提出一种基于能源枢纽供需双侧多能博弈互动的优化策略。文中建立了源枢纽供需双侧博弈模型,在供给侧与能源经销商进行购能博弈,在需求侧与用户进行售能博弈。证明了博弈模型存在唯一的纳什均衡解。算例结果证明了所提模型具有较好的收敛性,多种能源参与的供需双侧博弈可使得能源经销商和能源枢纽的收益更高,同时储能设备的引入有利于实现源-荷-储协同优化运行。     

基于纳什议价理论的微能-水网参与售电公司运行机制设计

为鼓励微能-水网积极参与售电公司运行,分别建立微能-水网与售电公司的优化模型,并分析各主体在远离最优运行点工况下的损失与收益情况.基于纳什议价理论,构建微能-水网参与售电公司运行的合作博弈模型,探究各实体间的利润分配方案.考虑到集中式求解算法的弊端,构建适用于该模型的分布式求解算法.算例分析结果验证了微能-水网参与售电...     

多随从诱导策略

本文研究多随从诱导问题.当随从进行Nash不合作对策时,得到了连续诱导策略的一个存在性充分条件与一种设计方法;当随从进行Nash协商对策时,得到了仿射型和连续型诱导策略的存在性充分条件与设计方法.     

博弈控制论简述

博弈控制论是近年来出现的博弈与控制的交叉学科,虽然它融合了博弈和控制双方的工具和方法,但无论从研究对象,研究方法与现有的结论看,它都不完全从属于经典博弈或经典控制的范畴,因此,是一个具有自身特色的新学术生长点.本文的目的是对这个新方向做一个简述介绍,内容包括:i)基于博弈的控制;ii)基于势博弈的优化;iii)博弈中的状态空间方法;iv)国内几个研究博弈控制论的团队.最后,对博弈控制论的未来做一展望.     

Tuning rules for robust FOPID controllers based on multi-objective optimization with FOPDT models

In this paper a set of optimally balanced tuning rules for fractional-order proportional-integral-derivative controllers is proposed. The control problem of minimizing at once the integrated absolute error for both the set-point and the load disturbance responses is addressed. The control problem is stated as a multi-objective optimization problem where a first-order-plus-dead-time process model subject to a robustness, maximum sensitivity based, constraint has been considered. A set of Pareto optimal solutions is obtained for different normalized dead times and then the optimal balance between the competing objectives is obtained by choosing the Nash solution among the Pareto-optimal ones. A curve fitting procedure has then been applied in order to generate suitable tuning rules. Several simulation results show the effectiveness of the proposed approach.     

电力市场下发电公司和大用户间电力交易的双方叫价拍卖模型

随着我国电力体制的改革和发电侧竞争市场的建立,在需求方很快也会引入竞争,并建立完全开放的双边电力市场。在完全开放的双边电力市场下,大用户直接购电问题已成为我国电力改革的重大课题。研究发电公司和大用户如何建立有效的报价策略具有十分重要的理论和实践价值。作者提出一种直接交易方式,由大用户直接与发电企业进行一对一的交易,并自定价格。因而,这是发电公司和大用户的双方叫价拍卖问题,通过对双方叫价拍卖的交易规则进行描述。针对发电公司的生产成本和大用户的估价是私有信息的情况,建立了完全开放市场下发电公司和大用户的双方叫价拍卖的不完全信息贝叶斯博弈模型,并求解贝叶斯纳什均衡,给出了发电公司和大用户的均衡报价策略。