Local stability of the Cournot solution with increasing heterogeneous competitors

In this paper we try to solve a paradox related to the results of Theocharis (1960). When the number of competitors increases the Cournot–Nash equilibrium loses stability. We relax the assumption about homogeneity in the decision mechanism and show that if we admit heterogeneity than by increasing the number of competitors the stability region on the parameters’ space may enlarge instead of shrinking.     

高中化学竞赛中电子效应和空间效应考点分析——以近年全国化学奥林匹克竞赛试题为例

电子效应和空间效应是有机化学的基础,近年来,这部分知识在全国化学奥林匹克竞赛中的考查比例处于上升趋势。因此,以近年全国化学奥林匹克竞赛试题为例,详细说明电子效应和空间效应在竞赛中的考点,帮助辅导化学竞赛的教师和参加化学竞赛的考生了解该部分知识需要达到的教学标准和掌握层次。     

大学生化学竞赛对实验教学改革与创新人才培养的促进作用*

大学生的化学竞赛是课内实验教学的有效延伸,也是从学生视角对实验教学效果的有效检验。通过分析和比较学生参加化学实验竞赛的过程和效果,能有效促进化学实验教学改革、课程建设及创新人才的培养。近年来吉林大学化学学院学生实验竞赛的成绩显著提高,一方面通过化学竞赛激发本科生喜爱化学和开展化学研究的热情,增加学习的主观能动性;另一方面通过竞赛发现问题,在解决问题的过程中促进实验教学改革和课程建设,学院“三阶段”模式的竞赛活动开展,更加有利于培养学生的创新意识和创新能力,促进了化学创新人才的培养。     

双寡头动态R&D竞合模型的构建与分析

放松了经典Cournot模型中市场容量不变的假设,构建了双寡头企业R&D动态竞争的Cournot模型,研究了双寡头在R&D投入和产量决策两个阶段完全竞争与完全合作情形下的均衡结果.结果表明增加新增市场容量可以提高企业的最佳R&D投入水平和均衡利润,并且可以维持更长久的博弈周期.结果还表明动态R&D竞争模型是对传统模型的进一步拓展,能适用于更广泛、更实际的竞争情形.     

Advances on the Determination of the Astatine Pourbaix Diagram: Predomination of AtO(OH)2− over At− in Basic Conditions

It is generally assumed that astatide (At^?) is the predominant astatine species in basic aqueous media. This assumption is questioned in non‐complexing and non‐reductive aqueous solutions by means of high‐pressure anion‐exchange chromatography. Contrary to what is usually believed, astatide is found to be a minor species at pH=11. A different species, which also bears a single negative charge, becomes predominant when the pH is increased beyond 7. Using competition experiments, an equilibrium constant value of 10^?6.9 has been determined for the formation of this species from AtO(OH) with the exchange of one proton. The identification of this species, AtO(OH)₂^?, is achieved through relativistic quantum mechanical calculations, which rule out the significant formation of the AtO₂^? species, while leading to a hydrolysis constant of AtO(OH) in excellent agreement with experiment when the AtO(OH)₂^? species is considered. Beyond the completion of the Pourbaix diagram of astatine, this new information is of interest for the development of ²¹¹At radiolabeling protocols.     

Quantum entanglement in the mode-mode competition system

Considering a two-level atom interacting with the competing two-mode field, this paper investigates the entanglement between the two-level atom and the two-mode field by using the quantum reduced entropy, and that between the two-mode field by using the quantum relative entropy of entanglement. It shows that the two kinds of entanglement are dependent on the relative coupling strength of atom-field and the atomic distribution, and exhibit the periodical evolution. The maximal atom-field entanglement state can be prepared via the appropriate selection of system parameters and interaction time.     

Kohonen网络在电容CT图像重建中的应用

提出一种采用Ｋｏｈｏｎｅｎ网络算法进行１２电极电容ＣＴ系统的图像重建的方法．该网络由输入和输出两层神经元组成,输入为１２电极电容ＣＴ系统测量所得的６６个电容值,输出对应管道介质的空间分布模式．该网络采用竞争算法无监督学习,实验结果证明,该网络有较强的抗噪声能力,可重建出较精确的介质分布图像     

掺杂KNSBN晶体中的电子—空穴竞争

通过测量掺杂ＫＮＳＢＮ晶体光折变光栅记录和擦除动态特性，首次分析了掺杂ＫＮＳＢＮ晶体中的电子－空穴竞争，根据耦合波理论，指出，响应时间越快的晶体，电子－空穴竞争越激烈，因而导致净调制折射率越小，衍射效率赵低，最后，分析了空穴产生的原因，并估算有效载流子浓度为１０＾１５／ｃｍ＾３量级。     

Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking

By means of Mawhin's continuation theorem of coincidence degree and Lyapunov functional, a set of easily verifiable criteria are established for the existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch system with stocking

     

Universal Margin Factors and Selection Criteria in Variable Environment

For nonautonomous dynamical systems, the principle of inheriting local properties by global Poincaré maps is developed. Using this method, a selection criterion for systems of close competitors is found: to gain competitive advantage, it suffices to outproduce other populations with a margin. The margin factor in question remains uniformly bounded as the number of competitors in the community grows.