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.

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.

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.

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.

A Freedom-seeking Stranger——An Interpretation of Santosh in Naipaul's One Out of Man

The immigrant Santosh,the protagonist in Naipaul’s One Out of Many,features strong loneliness and freedom-seeking desire.Psychoanalytical criticism is employed to interpret the inner world of the character Santosh based on close reading of the text.This would help readers deepen their understanding of Naipaul’s works and enhance the concerns about the psychic world of urban migrants.

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.

CHINA RISES TO WORLD INNOVATION POWERHOUSE

China’s persistent efforts to encourage innovations in science and technology have made remarkable achievements.The Patent Cooperation Treaty(PCT)Yearly Review 2023 gave a detailed report and statistics on global patents over the last year.The PCT is an international patent treaty that provides a unified procedure for filing and processing patent applications and facilitates the seeking of patent protection for inventions in multiple countries.

Health Care Seeking Behaviour and Predictors of Combined Orthodox and Traditional Health Care Utilization among Households in Communities in Owerri, Imo State, Nigeria

Background: Health care seeking behaviour is a complex, dynamic and multidimensional process that involves a sequence of remedial actions that are influenced by the interaction between the individual, household and community with the intention of addressing perceived ill health. Objective: To determine health care seeking attitude and behaviour and the predictors of combined orthodox and traditional health care use among households in communities in Owerri, Imo State. Nigeria. Methods: A cross sectional design that used a multistage random sampling technique to select 500 participants from households in two communities in Owerri, Imo State. Data was collected using a pretested, semi structured questionnaire. Descriptive analyses were done with frequencies and summary statistics. Chi square statistics were computed to determine significant relationships and binary logistic regression was used to determine predictors of combined use. P was set at 0.05 significance level. Results: The results revealed that, while just more than half of the respondents (56.4%) had a moderate to good level of overall knowledge of health care, almost all of the respondents (96.2%) also had a moderate to good level of overall positive attitude towards seeking health care;with less than one third (29.4%) using combined orthodox and traditional health care treatments. It further revealed that, respondents who were female, traders and from households of polygamous families were significantly more likely to use combined orthodox and traditional health care treatments (p < 0.05) while those with a tertiary level of education, from households with a professional as head, having private water closet toilets and earning a monthly income of more than 50,000 Naira ($140) were significantly less likely to use combined orthodox and traditional health care treatments (p < 0.05). Conclusion: There is a need to be more sensitive to the realities of the combined use of orthodox and traditional treatments, as its use will be difficult to prevent because this behaviour is rooted in the traditional and cultural belief system of our societies.

Predictors of healthcare-seeking behavior among Chinese patients with irritable bowel syndrome

AIM To analyze predictors of healthcare-seeking behavior among Chinese patients with irritable bowel syndrome(IBS) and their satisfaction with medical care.METHODS Participating patients met IBS Rome Ⅲ criteria(excluding those with organic diseases) and were enrolled in an IBS database in a tertiary university hospital. Participants completed IBS questionnaires in face-to-face interviews. The questionnaires covered intestinal and extra-intestinal symptoms, medical consultations, colonoscopy,medications, and self-reported response to medications during the whole disease course and in the past year. Univariate associations and multivariate logistic regression were used to identify predictors for frequent healthcareseeking behavior(≥ 3 times/year), frequent colonoscopies(≥ 2 times/year), long-term medications, and poor satisfaction with medical care.RESULTS In total, 516 patients(293 males, 223 females) were included. Participants' average age was 43.2 ± 11.8 years. Before study enrollment, 55.2% had received medical consultations for IBS symptoms. Ordinary abdominal pain/discomfort(non-defecation) was an independent predictor for healthcare-seeking behavior(OR = 2.07, 95%CI: 1.31-3.27). Frequent colonoscopies were reported by 14.7% of patients(3.1 ± 1.4 times per year). Sensation of incomplete evacuation was an independent predictor for frequent colonoscopies(OR = 2.76, 95%CI: 1.35-5.67). During the whole disease course, 89% of patients took medications for IBS symptoms, and 14.7% reported they were satisfied with medical care. Patients with anxiety were more likely to report dissatisfaction with medical care(OR = 2.08, 95%CI: 1.20-3.59). In the past year, patients with severe(OR = 1.74, 95%CI: 1.06-2.82) and persistent(OR = 1.66, 95%CI: 1.01-2.72) IBS symptoms sought medical care more frequently.CONCLUSION Chinese patients with IBS present high rates of frequent healthcare-seeking behavior, colonoscopies, and medications, and low satisfaction with medical care. Intestinal symptoms are major predictors for healthcare-seeking behavior.

Histone acetylation of the htr3a gene in the prefrontal cortex of Wistar rats regulates ethanol-seeking behavior

Previous reports showed that decreased histone deacetylase activity significantly potentiated the rewarding effects of psychostimulants, and that encoding of the 5-HT3 receptor by the htr3a gene was related to ethanol-seeking behavior. However, the effects of a histone deacetylase inhibitor on ethanol-seeking behavior and epigenetic regulation of htr3a mRNA expression after chronic ethanol exposure are not fully understood. Using quantitative reverse transcription-polymerase chain reaction and chromatin immunoprecipitation analysis, we investigated the effects of chronic ethanol exposure and its interaction with a histone deacetylase inhibitor on histone-acetylation-mediated changes in htr3a mRNA expression in the htr3a promoter region. The conditioned place preference procedure was used to evaluate ethanol-seeking behavior. Chronic exposure to ethanol effectively elicited place conditioning. In the prefrontal cortex, the acetylation of H3K9 and htr3a mRNA expression in the htr3a promoter region were significantly higher in the ethanol group than in the saline group. The histone deacetylase inhibitor sodium butyrate potentiated the effects of ethanol on htr3a mRNA expression and enhanced ethanol-induced conditioned place preferences. These results suggest that ethanol upregulates htr3a levels through mechanisms involving H3K9 acetylation, and that histone acetylation may be a therapeutic target for treating ethanol abuse.

Factors that contribute to delay in seeking cervical cancer diagnosis and treatment among women in Malawi

Cervical cancer is a curable disease if diagnosed early. However, many women in Malawi seek treatment when the disease has reached inoperable stage. This study was conducted to explore factors that contribute to delay in seeking early diagnosis and treatment of cervical cancer among women in Malawi. The study was exploratory and utilized qualitative data collection and analysis method. In-depth interviews were conducted using a semi-structured interview guide on a purposive sample of 24 women who were diagnosed of cervical cancer at the gynaecological wards of Zomba and Queen Elizabeth Central Hospitals in Malawi between July and September, 2011. Thematic content analysis was used to analyze the qualitative data. Two major themes (individual and health facility) emerged from the participants’ narratives as factors that contributed to their delay in seeking early diagnosis and treatment. The individual factors included;limited knowledge on symptoms and signs and limited financial resources. The health facilities factors included;limited accessibility and unavailability of cancer screening facilities in the health centres. Results show that there is a need to strengthen the screening of cervical cancer among women in the country. In addition, there is a need to create community awareness on the signs and symptoms of cervical cancer and the merits of seeking early diagnosis and treatment.

Information seeking and anxiety among colonoscopy-na?ve adults: direct-to-colonoscopy vs traditional consult-first pathways

AIM To investigate the effects of direct to colonoscopy pathways on information seeking behaviors and anxiety among colonoscopy-na?ve patients.METHODS Colonoscopy-na?ve patients at two tertiary care hospitals completed a survey immediately prior to their scheduled outpatient procedure and before receiving sedation.Survey items included clinical pathway(direct or consult),procedure indication(cancer screening or symptom investigation),telephone and written contact from the physician endoscopist office,information sources,and pre-procedure anxiety.Participants reported pre-procedure anxiety using a 10 point scale anchored by "very relaxed"(1) and "very nervous"(10).At least three months following the procedure,patient medical records were reviewed to determine sedative dose,procedure indications and any adverse events.The primary comparison was between the direct and consult pathways.Given the very different implications,a secondary analysis considering the patient-reported indication for the procedure(symptoms or screening).Effects of pathway(direct vs consult) were compared both within and between the screening and symptom subgroups.RESULTS Of 409 patients who completed the survey,34% followed a direct pathway.Indications for colonoscopy were similar in each group.The majority of the participants were women(58%),married(61%),and internet users(81%).The most important information source was family physicians(Direct) and specialist physicians(Consult).Use of other information sources,including the internet(20% vs 18%) and Direct family and friends(64% vs 53%),was similar in the Direct and Consult groups,respectively.Only 31% of the 81% who were internet users accessed internet health information.Most sought fundamental information such as what a colonoscopy is or why it is done.Pre-procedure anxiety did not differ between care pathways.Those undergoing colonoscopy for symptoms reported greater anxiety [mean 5.3,95%CI: 5.0-5.7(10 point Likert scale)] than those for screening colonoscopy(4.3,95%CI: 3.9-4.7).CONCLUSION Procedure indication(cancer screening or symptom investigation) was more closely associated with information seeking behaviors and pre-procedure anxiety than care pathway.

Distributed Nash Equilibrium Seeking Over Random Graphs

Dear Editor,This letter is concerned with the distributed Nash equilibrium(NE)seeking in an N-player game over random graphs. We develop a distributed stochastic forward-backward(DSFB) algorithm based on local information exchange between agents. We prove that the DSFB algorithm can converge to an NE almost surely, and analyze the convergence rate of the proposed algorithm. Compared with the existing works on distributed NE seeking, the communication graph in this letter is supposed to be time-varying and stochastic, which makes the NE seeking algorithm more suitable for practical scenarios, but brings a great challenge in both the design and convergence analysis of the algorithm. Besides, by establishing a variational inequality on NE, we relax the co-coercivity or strong monotonicity assumption on the extended pseudo-gradient.

OPTIMAL TRACK SEEKING CONTROL OF DUAL-STAGE ACTUATOR FOR HIGH DENSITY HARD DISK DRIVES

Based on generalized the variation method, by introducing Hamilton function and Lagrange multiplier, this paper proposed a linear quadratic optimal control strategy for an incomplete controllable system with fixed terminal state and time. Applying the proposed optimal control to the simple two-input dual-stage actuator magnetic head positioning system with three degrees-of-freedom, the simulation results show that the system has no residual vibration at the terminal position and time, which can reduce the total access time during head positioning process. To verify the validation of the optimal control strategy of three degrees-of-freedom spring-mass models in actual magnetic head positioning of hard disk drives, a finite element model of an actual magnetic head positioning system is presented. Substituting the optimal control force from simple three degrees-of-freedom spring-mass models into the finite element model, the simulation results show that the magnetic head also has no residual vibration at the end of track-to-track travel. That is to say, the linear quadratic optimal control technique based on simple two-input dual- stage actuator system with three degrees-of-freedom proposed in this paper is of high reliability for the industrial application of an actual magnetic head positioning system.

Prevalence of childhood illness and mothers’/caregivers’ care seeking behavior in Bahir Dar, Ethiopia: A descriptive community based cross sectional study

Introduction: In Ethiopia, even though there are great achievements in decreasing infant and child mortality from year 2000 to 2011, still children are suffering from diarrheal diseases, respiratory problems and malnutrition. This study was done to determine the prevalence of illnesses among under-five children and mothers’/caregivers’ care seeking behavior for childhood illnesses in Bahir Dar, Ethiopia. Methods: A community based cross-sectional study was done on a sample of 415 mothers/caregivers from April 15 to May 15, 2011. Three kebeles (the smallest administrative unit) from Bahir Dar were selected randomly. The sample was proportionally distributed to the selected kebeles according to their population size. To be eligible to participate in the study, mothers had to live in households that had children under five years of age. These households were selected by systematic sampling method. Mothers/caregivers were interviewed in their homes using a structured questionnaire that had been pre-tested. The collected data were analyzed using a computer program of SPSS version 20.0. Result and Conclusions: The overall two weeks prevalence of childhood illness that had one or more symptoms of disease was 110 (26.5%). The prevalence of the most commonly reported symptoms were diarrhea, fever, acute respiratory infection (ARI) and others 11.3%, 10%, 6.3% and 4.6% among children of under five years respectively. Eighty (72.7%) of mothers sought treatment from health care facilities for sick children. The main reasons for not seeking treatment from health care facilities as reported by mothers/caregivers were, 53.3% Illness was not serious, 26.7% lack of money and 13.3% did not see any benefit for such childhood illness. Hence there is a need for designing a tailored health message for mother/ caregivers about preventable childhood illness and treatment seeking by the local health extension workers and program planners.

Healthcare seeking trends in acute respiratory infections among children of Pakistan

AIM To assess healthcare seeking trends among Pakistani children with acute respiratory infections through comparative analysis between demographic health surveys(DHS) 2006-2007 and 2012-2013. METHODS Data of the last born children 0-24 mo of age of the sampled households from both the DHS was analyzedafter seeking permission from the DHS open access website. These were children who had suffered from cough and/or breathing difficulty in the past two weeks and sought health care thereafter. The trends of health care seeking were determined separately for the individual, household and community level according to the study parameters. χ2 test was applied to compare these trends. A P-value of < 0.05 was considered significant. RESULTS Out of 2508 children in 2006-2007 there were 1590 with acute respiratory infections(ARI) according to case definition along with 2142 out of 3419 children in 2012-2013 DHS, whose data was analyzed. During 2006-2007, 69% cases sought healthcare for ARI which improved to 79% in 2012-2013. Additionally, it was revealed that when compared between 2006-2007 and 2012-2013, improvement in care seeking practices was observed among illiterate mothers(64% vs 77%) although there was minimal change in those literate. Similarly, those women working also showed an increase in healthcare seeking from 67% to 79%. Additionally, those belonging to low and middle socioeconomic class showed a marked increase as compared to those in the higher class where there was no significant change. Whereas those living in rural communities also showed an increase from 66% to 78%.CONCLUSION Increasing health budget, improving maternal education and strengthening multi-sectoral coordination are among the effective strategies to improve outcomes associated with healthcare seeking in ARI.

Stochastic Control Model on Rent Seeking

A continuous-time stochastic model is constructed to analyze how to control rent seeking behaviors. Using the stochastic optimization methods based on the modem risky theory, a unique positive solution to the dynamic model is derived. The effects of preference-related parameters on the optimal control level of rent seeking are discussed, and some policy measures are given. The results show that there exists a unique solution to the stochastic dynamic model under some macroeconomic assumptions, and that raising public expenditure may have reverse effects on rent seeking in an underdeveloped or developed economic environment.

Household textile and clothing enterprises seeking new development potential by turning to E-commerce

The Household Textile and Clothing Exhibition was held during May 1 to 5 at the 3rd Session of the Canton Fair. Due to the declining macro economy, in the first three months the house hold textile industry saw the biggest negative sales growth over the past 10 years.