Distributed Nash Equilibrium Seeking Strategies Under Quantized Communication

This paper is concerned with distributed Nash equi librium seeking strategies under quantized communication. In the proposed seeking strategy, a projection operator is synthesized with a gradient search method to achieve the optimization o players' objective functions while restricting their actions within required non-empty, convex and compact domains. In addition, a leader-following consensus protocol, in which quantized informa tion flows are utilized, is employed for information sharing among players. More specifically, logarithmic quantizers and uniform quantizers are investigated under both undirected and connected communication graphs and strongly connected digraphs, respec tively. Through Lyapunov stability analysis, it is shown that play ers' actions can be steered to a neighborhood of the Nash equilib rium with logarithmic and uniform quantizers, and the quanti fied convergence error depends on the parameter of the quan tizer for both undirected and directed cases. A numerical exam ple is given to verify the theoretical results.

Multi-Timescale Distributed Approach to Generalized-Nash-Equilibrium Seeking in Noncooperative Nonconvex Games

Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale multi-agent system(MAS)is developed,and its convergence to a critical point of the game is proven.To illustrate the qualities and efficacy of the theoretical findings,a numerical example is elaborated.

Prescribed-Time Nash Equilibrium Seeking for Pursuit-Evasion Game

Dear Editor,This letter is concerned with prescribed-time Nash equilibrium(PTNE)seeking problem in a pursuit-evasion game(PEG)involving agents with second-order dynamics.In order to achieve the prior-given and user-defined convergence time for the PEG,a PTNE seeking algorithm has been developed to facilitate collaboration among multiple pursuers for capturing the evader without the need for any global information.Then,it is theoretically proved that the prescribedtime convergence of the designed algorithm for achieving Nash equilibrium of PEG.Eventually,the effectiveness of the PTNE method was validated by numerical simulation results.A PEG consists of two groups of agents:evaders and pursuers.The pursuers aim to capture the evaders through cooperative efforts,while the evaders strive to evade capture.PEG is a classic noncooperative game.It has attracted plenty of attention due to its wide application scenarios,such as smart grids[1],formation control[2],[3],and spacecraft rendezvous[4].It is noteworthy that most previous research on seeking the Nash equilibrium of the game,where no agent has an incentive to change its actions,has focused on asymptotic and exponential convergence[5]-[7].

Fixed-Time Consensus-Based Nash Equilibrium Seeking

Dear Editor,This letter examines the fixed-time stability of the Nash equilibrium(NE)in non-cooperative games.We propose a consensus-based NE seeking algorithm for situations where players do not have perfect information and communicate via a topology graph.The proposed algorithm can achieve NE in a fixed time that does not depend on initial conditions and can be adjusted in advance.

Prescribed-Time Fully Distributed Nash Equilibrium Seeking Strategy in Networked Games

Dear Editor, This letter is concerned with prescribed-time fully distributed Nash equilibrium seeking for networked games under directed graphs. An adaptive algorithm is proposed to ensure the convergence of all players to the Nash equilibrium without requiring any knowledge of global parameters. Moreover, it is theoretically proved that the convergence time of the proposed seeking strategy can be predefined based on practical requirements. Finally, a numerical example is presented to validate the effectiveness of the proposed method.

PRC at 75:Open and Seeking Sustainable Development for All

As the EU gears up to vote on proposed tariffs on Chinese electric vehicles(EVs),former European Central Bank chief Mario Draghi has a different perspective.Relying on China for green products might be the EU’s cheapest path to meet its climate ambitions,he told European Parliament members on September 17.Some EU members are rethinking their China strategy,seeking feasible solutions for their differences with China and more cooperation,as indicated by Spanish Prime Minister Pedro Sanchez during his visit to China.

Hierarchical Media Ethics in the Digital Age: An Analysis of the “Primary School Student Lost Homework in Paris” Incident

In the digital age,traditional media ethics norms lack sufficient explanatory power and binding force in practice.This paper uses the“Primary School Student Lost Homework in Paris”incident as a case study to explore the ethical controversies surrounding the dissemination of this event.By adopting a hierarchical media ethics perspective,the paper dynamically examines the ethical conduct of various communicators,elucidates the ethical responsibilities of each party involved,and reveals the complexity of communication ethics in the digital age.

Effects of mechanical vibration on filling and solidification behavior, microstructure and performance of Al/Mg bimetal by lost foam compound casting

Al/Mg bimetal was prepared by lost foam solid-liquid compound casting,and the effects of mechanical vibration on the filling and solidification behavior,microstructure and performance of the bimetal were investigated.Results show that the mechanical vibration has a remarkable influence on the filling and solidification processes.It is found that after mechanical vibration,the filling rate increases and the filling rate at different times is more uniform than that without vibration.In addition,the mechanical vibration also increases the wettability between liquid AZ91D and A356 inlays.The mechanical vibration reduces the horizontal and vertical temperature gradient of the casting and makes the temperature distribution of the whole casting more uniform.Compared to the Al/Mg bimetal without vibration,the shear strength is improved by 39.76%after the mechanical vibration is applied,due to the decrease of the inclusions and Al_(12)Mg_(17) dendrites,and the refinement and uniform distribution of the Mg_(2)Si particles in the interface of the Al/Mg bimetal.

Estimating the Monetary Value of Hours Lost to the Nigerian Public Healthcare System When Full-Time Government Employee Doctors Engage in Dual Practice

Background: Dual Practice (DP) allows full-time public sector doctors to concurrently offer the same clinical services in the private sector. The debate against this practice seems to be largely influenced by its potential to reduce the contracted hours in the public sector and shift attention to private work. Purpose: The purpose of this secondary research is to estimate the monetary value of hours lost to the Nigerian public healthcare system when full-time government employee doctors are engaged in private practice. It attempts to quantify the amount of resource outflow from the public system due to absences and lateness arising from competition for time between the public system’s contracted hours and private practice. Methods: Sensitivity analysis in Excel 2010 was used to calculate doctors’ hourly pay in the public sector using the 2015 Consolidated Medical Salary Structure for medical and dental officers in Nigeria’s federal public service. The parameters used for the calculation were the official 40-hour working week and the average monthly gross pay of doctors on different grade levels. Hypothetical scenarios of hours lost due to absences associated with DP were created. The value of different hypothetical hour losses by the percentage of doctors assumed to engage in dual practice across all doctor grade levels was then computed. Results: The estimated annual value of hours lost from dual practice to a single public tertiary care hospital was N4,851,754 or 15,855 USD (best case scenario) and N19,407,017 or 63,422 USD (worst case scenario) for the normal routine work and N1,800,133 or 5883 USD (best case scenario) and N3,600,266 or 11,766 USD (worst case scenario) for the on-call duty. Conclusion: The government may have been paying salaries for large volumes of work not rendered in the public sector. The overall financial impact of dual practice in the Nigerian public system might be negative.

Remaining original aspirations,seeking innovation,striving for excellence

Prof.Xiaoying Jiang Director of the Chinese Nursing Journals Publishing House As time passes,a new chapter emerges.Looking back at the year 2022,under the leadership and strong support of the China Association for Science and Technology(CAST)and the Chinese Nursing Association,the Chinese Nursing Journals Publishing House,with its original aspirations,has always insisted on serving the overall national construction and development of nursing disciplines.

Comparison of Self-Strength, Seeking Help and Happiness between Pakistani and Chinese Adolescents: A Positive Psychology Inquiry

Adolescents’emotions and preferences are influenced by their childhood experiences.In today’s world,there is a pervasive eagerness for happiness.Happiness has been linked to feelings of self-strength,seeking help,and psy-chological health.The current quantitative research was designed with a positive psychological perspective to compare Pakistani and Chines adolescents’self-strength,seeking help,and happiness.The research design of the study was causal-comparative.The study population consisted of 400 Pakistani and 409 Chinese adolescents studying in the elementary grades of both countries.The sample was selected by using a simple random sampling technique.It consisted of 413 boys(51%)and 396 girls(49%),319(39)of them were from the age group of 13–14 years,386(48%)of them were from the age group of 15–16 years,and 104(12.9%)were from the age group of 17–18 years.Three different scales were developed to collect study data.Independent sample t-test and simple linear regression were used to test study hypotheses.The analysis revealed that Pakistani adolescents have signifi-cantly higher self-strength,seeking help and happiness than their counterparts.It was also found that adolescents’self-strength and seeking help significant affect their happiness.Based on thefindings,it was suggested to inves-tigate the factors contributing to the improved self-strength,seeking help,and happiness of Pakistani adolescents.It was also recommended to investigate the mediating effect of adolescents’self-strength on the relationship between their happiness and seeking help.

Analysis of the Lost Circulation Problem

The well-known“lost circulation”problem refers to the uncontrolled flow of whole mud into a formation.In order to address the problem related to the paucity of available data,in the present study,a model is introduced for the lost-circulation risk sample profile of a drilled well.The model is built taking into account effective data(the Block L).Then,using a three-dimensional geological modeling software,relying on the variation function and sequential Gaussian simulation method,a three-dimensional block lost-circulation risk model is introduced able to provide relevant information for regional analyses.

Oriental Utopia under the Gaze of the Other-A Brief Analysis of the Construction of the Oriental Image in Lost Horizon

Lost Horizon tells a story about Shangri-La,a paradise in the Orient.Throughout the construction of the Oriental image in the novel,it can be found that under its representation of being enslaved,driven,marginalized and silenced,it implies a three-dimensional flow mechanism with multiple power-relationships interwoven between Orient and Occident,insiders and outsiders,“civilized”and“uncivilized”,male and female,etc.Driven by this mechanism,the Oriental image is integrated under a single abstract label,which has become a way for the Occident to re-understand,reconstruct and express itself after the war.

钻井过程中井漏特征精细识别方法研究与应用

井漏是钻井工程中普遍存在的井下复杂问题,严重影响着钻井施工安全与钻井周期,井漏特征精细识别是高效治理井漏的关键。首先,综合测井、钻井、录井及地质等资料,结合漏层力学性质与物理机理分析,利用加权系数法,建立了基于“井漏综合指数”的井漏层位识别新方法。然后,研究了漏失通道类型及尺寸、漏失压差、漏失速度等井漏特征参数的定量分析方法,并给出计算模型,形成了多信息融合的井漏特征精细识别方法。该方法在X区块进行了实例分析,分析结果表明,X区块实际井资料的处理结果与现场实际漏失地层的层位、漏失类型及漏失速度等井漏特征基本吻合。井漏特征精细识别方法综合考虑了井漏的主要影响因素,利用其可以准确识别漏层的特征,为防漏堵漏技术优化及施工提供科学依据。

宗族文化、特殊信任与企业寻租支出

本文利用世界银行的《中国投资环境调查》数据和城市族谱数据,考察宗族文化对企业寻租支出的影响。研究表明,地区宗族文化越浓厚,企业寻租支出越多,该结论在解决内生性问题、改变解释变量和被解释变量的度量方式后仍然稳健。进一步分析发现,宗族文化加深对自己人的特殊信任,有助于满足作为违法交易的寻租对信任、承诺和保密机制的要求;宗族文化的影响在不同的所有制、规模、区域和地方政府干预市场程度的企业样本中存在明显区别。本研究从传统文化的视角解释寻租可为反腐败工作提供参考。

面向溢流与井漏监测的钻井液池体积趋势校正方法

钻井液池体积是溢流和井漏监测的常用参数。在钻井正常施工时,随着井筒容积的变化以及井筒内钻井液与地层流体的交换,钻井液池体积会产生与溢流和井漏发生时相似的“类风险趋势”,导致现有的溢流与井漏监测方法易产生误报,降低了溢流与井漏监测方法在现场应用时的有效性。针对此问题,文章首先分析了导致池体积产生“类风险趋势”的原因,建立了钻进与起下钻工况下池体积的正常变化模型,利用建立的模型校正池体积的“类风险趋势”,降低溢流与井漏监测的误报率;然后,建立了基于规则推理的溢流与井漏监测模型,用于测试池体积的“类风险趋势”对溢流与井漏监测的影响。利用现场实测的4500组钻井数据,采用基于规则推理的溢流与井漏监测方法开展了风险监测实验,结果表明,在进行池体积趋势校正后,溢流与井漏风险监测的误报率由10.03%降低至3.06%。

“双碳”目标下政企及第三方检测机构三方演化博弈分析

针对政府低碳规制下,制造商与第三方机构合谋寻租,导致市面上“伪绿色产品”频现等问题,构建由政府监管部门、制造商和第三方检测机构组成的三方参与主体演化博弈模型。在此基础上,探讨各参与主体演化博弈稳定策略组合及实现条件。通过数值仿真分析,阐明制造商寻租及投机成本、生产高绿色和低绿色产品成本差值、第三方检测机构寻租成本及收益、政府监管部门对制造商及第三方机构的奖惩力度等因素对三方参与主体策略选择及系统优化稳定性的影响,以期为“双碳”目标下政府激励与监管政策制定提供参考。

数学对真善美精神追求的“源脉”“谱系”及其对数学教育的启示

数学对真善美的精神追求,是全面、精粹与彻底的,深刻体现了数学精神的本质要义,是数学教育研究中的一个重要问题.辨析数学求真、益善、唯美精神的源脉,提出两个观点:数学探求真理的态度与方式是数学求真精神之源,数学求真精神是数学益善与唯美精神的根基.数学求真、益善、唯美精神在相互促进中各自形成演化脉络.求实、求理、求广与求新是数学求真精神演化的主要脉络;益知、益事、益国与益人是数学益善精神演化的主要脉络;唯简、唯序、唯统与唯和是数学唯美精神演化的主要脉络.它们共同形成了数学追求真善美精神谱系的结构要素,依演化脉络对这些要素及其内涵进行简要阐释和分析,得到对数学教育的意义、宗旨等问题的影响与启示:富有追求真善美精神内涵的数学教育在培育和谐发展的时代新人方面有更深刻的意义;“以数学的精神和思想育人,旨在涵育精神与思维素养”是数学教育的远大宗旨;数学追求真善美的精神谱系为涵育数学精神素养的教学提供了具体路径与方法.

碳数据质量合规与企业寻租监管——演化博弈视角下第三方核查监管制度的完善研究

保证碳数据质量合规是碳数据二元功能发挥的前提。但现行碳数据质量合规第三方核查监管制度(下称监管制度)对企业碳数据造假寻租行为的监管乏力。构建由监管部门、企业与核查机构共同参与的演化博弈系统,利用数理经济学分析方法进行模型推导和数值仿真,探究关键因素变动对博弈系统演化稳定状态跃迁的影响与启示,可在厘清博弈主体行为逻辑的基础上探究匡补现行监管制度缺损的方案。研究发现:(1)监管部门的行为选择受到多种因素的影响而具有复杂性,且监管部门客观监管能力的提高需和其他关键参数协同作用才能显著提升演化速度;(2)“寻租联盟”内部成员之间的行为选择相互影响且具有一致性;(3)利用法律的利导性功能可弥补“数据利他主义”不能提振企业“报告合规碳数据”意愿的不足,但需满足一定的量化约束条件以保证博弈系统稳定性;(4)企业与核查机构的行为选择具有明显的成本遵循特征,寻租成本、碳数据造价成本、违规核查成本等是影响博弈系统演化稳定状态跃迁的关键因素。锚定碳数据质量合规目标,可从提升合规动力、提高监管能力和增大造假压力三个方面着手完善现行监管制度。

宁波市热浪对寿命损失年影响的总效应及附加效应

目的评估宁波市热浪对寿命损失年(YLL)影响的总效应及附加效应。方法收集2013—2019年宁波市死亡、人口、气象和空气质量监测资料,计算得到每日YLL率;根据日最高气温的百分位数和持续时间定义15种热浪类型,利用时间序列方法结合分布滞后非线性模型评估热浪对人群YLL率影响的总效应及附加效应,并按照性别和年龄(<65岁、≥65岁)进行分层分析。结果研究期间宁波市人群总YLL率为(19.74±3.14)人年/10万,热浪期的总YLL率均高于非热浪期(P<0.05)。随着热浪强度增加和持续时间延长,热浪的总效应均呈上升趋势。当热浪定义为日最高气温≥P97.5(37.2℃)且持续时间≥2d时,热浪累积10 d(Lag0-10 d)的总效应最大,总YLL率增加3.77(95%CI:2.25,5.29)人年/10万。热浪对男性和老年人影响的总效应高于女性和低年龄人群。仅部分热浪类型对男性和老年人YLL率影响的附加效应有统计学意义(P<0.05)。结论热浪导致宁波市人群YLL率增加,且对男性和老年人的影响更大;热浪的附加效应可能仅在男性和老年人等敏感人群中出现。