Beyond Equations:The Challenge of Mathematical Rigor in Economics

The mathematical approach is threatening the progress of economics,as it tends to disregard the complexity of economic behaviour and the unpredictability of human actions.——Friedrich Hayek The reliance on mathematical models in economics has long been debated,with critics arguing that this approach fails to capture the complexity of human behavior and the unpredictability of economic systems.While mathematics provides a structured method for analyzing economic processes,it often simplifies decision-making to a one-dimensional utility function,neglecting social,psychological,and political influences.This paper examines the limitations of classical and neoclassical economic theories that heavily depend on mathematical rigor,highlighting the pitfalls of models like the Rational Agent Model,General Equilibrium Theory,and Expected Utility Theory.Drawing on examples such as the 2008 financial crisis and the Terra/Luna cryptocurrency collapse,the paper demonstrates how over-reliance on equations has led to inaccurate predictions and ineffective policy decisions.It calls for a more interdisciplinary approach that integrates insights from psychology and sociology to address the gaps left by traditional mathematical economics.

Critical Analysis of Increasingly Mathematical Economics in the Modern Society

This paper critically examines the escalating trend of mathematization in economics,highlighting its implications and controversies in contemporary economic research.While the application of sophisticated mathematical models and statistical techniques has enhanced the precision,rigor,and status of economics within academia and practical application,concerns arise regarding the potential oversimplification and detachment from real-world complexities.The adoption of mathematical tools has arguably led to a focus on theoretically tractable problems at the expense of those more relevant to practical economic and social issues.This paper explores both the benefits and limitations of this trend,discussing how the reliance on quantitative methods affects the innovation,comprehensibility,and application of economic theories.We argue for a balanced approach that fosters innovation by integrating qualitative insights and embracing interdisciplinary methods to ensure economics remains both rigorous and relevant to societal needs.

The Intersection of Privacy by Design and Behavioral Economics: Nudging Users towards Privacy-Friendly Choices

This paper conducts a comprehensive review of existing research on Privacy by Design (PbD) and behavioral economics, explores the intersection of Privacy by Design (PbD) and behavioral economics, and how designers can leverage “nudges” to encourage users towards privacy-friendly choices. We analyze the limitations of rational choice in the context of privacy decision-making and identify key opportunities for integrating behavioral economics into PbD. We propose a user-centered design framework for integrating behavioral economics into PbD, which includes strategies for simplifying complex choices, making privacy visible, providing feedback and control, and testing and iterating. Our analysis highlights the need for a more nuanced understanding of user behavior and decision-making in the context of privacy, and demonstrates the potential of behavioral economics to inform the design of more effective PbD solutions.

Influence of introducing Zr,Ti,Nb and Ce elements on externally solidified crystals and mechanical properties of high-pressure die-casting Al–Si alloy

High pressure die casting(HPDC)AlSi10Mn Mg alloy castings are widely used in the automobile industry.Mg can optimize the mechanical properties of castings through heat treatment,while the release of thermal stress arouses the deformation of large integrated die-castings.Herein,the development of non-heat treatment Al alloys is becoming the hot topic.In addition,HPDC contains externally solidified crystals(ESCs),which are detrimental to the mechanical properties of castings.To achieve high strength and toughness of non-heat treatment die-casting Al-Si alloy,we used AlSi9Mn alloy as matrix with the introduction of Zr,Ti,Nb,and Ce.Their influences on ESCs and mechanical properties were systematically investigated through three-dimensional reconstruction and thermodynamic simulation.Our results reveal that the addition of Ti increased ESCs'size and porosity,while the introduction of Nb refined ESCs and decreased porosity.Meanwhile,large-sized Al_3(Zr,Ti)phases formed and degraded the mechanical properties.Subsequent introduction of Ce resulted in the poisoning effect and reduced mechanical properties.

Research on the Optimization Paths for Outstanding Agricultural Economics and Management Talents under the Background of Curriculum Ideology and Politics

The article aims to discuss how to cultivate outstanding agricultural economics and management talents to meet the needs of agricultural and rural economic development in the new era,within the context of ideological and political education.Through literature review and field research,a series of innovative talent training optimization paths are proposed,and specific suggestions are made for policymakers and educational practitioners.

Effect of external and internal cues on core muscle activation during the Sahrmann five-level core stability test

BACKGROUND Pain in the back or pelvis or fear of back pain may affect the timing or cocontraction of the core muscles.In both static and dynamic movements,the Sahrmann core stability test provides an assessment of core muscle activation and a person's ability to stabilize the lumbopelvic complex.Preparatory cues and images can be used to increase the activation of these muscles.To attain optimal movement patterns,it will be necessary to determine what cueing will give the most effective results for core stability.AIM To investigate the effects of external and internal cues on core muscle activation during the Sahrmann five-level core stability test.METHODS Total 68 participants(21.83±3.47 years)were randomly allocated to an external(n=35)or internal cue group(n=33).Participants performed the Sahrmann fivelevel core stability test without a cue as baseline and the five-level stability exercises with an internal or external cue.External cue group received a pressure biofeedback unit(PBU),and the internal cue group received an audio cue.A Delsys Trigno^(TM)surface electromyography unit was used for muscle activation from the rectus abdominis,external oblique,and transverse abdominis/internal oblique muscles.RESULTS Linear mixed effects model analysis showed that cueing had a significant effect on core muscle activation(P=0.001);however,there was no significant difference between cue types(internal or external)(P=0.130).CONCLUSION Both external and internal cueing have significant effects on core muscle activation during the Sahrmann five-level core stability test and the PBU does not create higher muscle activation than internal cueing.

Simulation Modelling and Techno-Economics of Supercritical Carbon Dioxide Recompression Closed Brayton Cycle

In recent years, there has been global interest in meeting targets relating to energy affordability and security while taking into account greenhouse gas emissions. This has heightened major interest in potential investigations into the use of supercritical carbon dioxide (sCO2) power cycles. Climate change mitigation is the ultimate driver for this increased interest;other relevant issues include the potential for high cycle efficiency and a circular economy. In this study, a 25 MWe recompression closed Brayton cycle (RCBC) has been assessed, and sCO2 has been proposed as the working fluid for the power plant. The methodology used in this research work comprises thermodynamic and techno-economic analysis for the prospective commercialization of this sCO2 power cycle. An evaluated estimation of capital expenditure, operational expenditure, and cost of electricity has been considered in this study. The ASPEN Plus simulation results have been compared with theoretical and mathematical calculations to assess the performance of the compressors, turbine, and heat exchangers. The results thus reveal that the cycle efficiency for this prospective sCO2 recompression closed Brayton cycle increases (39% - 53.6%) as the temperature progressively increases from 550˚C to 900˚C. Data from the Aspen simulation model was used to aid the cost function calculations to estimate the total capital investment cost of the plant. Also, the techno-economic results have shown less cost for purchasing equipment due to fewer components being required for the cycle configuration as compared to the conventional steam power plant.

Economics of Language behind Catchwords

The integration of linguistics and economics, economics of language, is a new peripheral subject based on theory of west ern human capital and educational economics. Catchwords which reflect many theories of economics of language enter into people's scope of research. Study of catchword is of great significance for the enrichment of research of human language.

System Design for Urban Forest Park——Based on Elimination of Externality during Development and Tourism Process

The paper had introduced researches on urban forest park and analyzed its particularity.In terms of elimination of externality during development and tourism consumption process of urban forest park,real estate agent had been introduced and two assumptions had been proposed to eliminate externality.As for elimination of externality during development of urban forest park,right to use planning land for urban forest park and surrounding land for real estate development would be sold to estate agent who would develop urban forest park and commodity house;the management of forest urban park would be undertaken by tourism development companies for which estate agent would make compensation.As for elimination of externality during tourism consumption process,it would control with policies and laws,or establish ticket system.As the study hadn't been conducted on policies about urban land and real estate,the feasibility of the first assumption needed to be further studied by environmental economists.

浅析《Public Economics》双语教学中的主要问题及对策

《Public Economics》作为研究公共部门经济的科学,是经济类学生,尤其是财政学专业学生所必修的一门双语课程。自2002年开始教授这门课程以来,在近十年的教学实践中,笔者发现有一些共性问题一直存在,在很大程度上成为了困扰、甚至妨碍该门双语教学课程课堂教学质量和总体效果的主要因素。本文在对这些问题进行阐释的基础上,提出若干应对之策,希与各位同仁交流和商榷。

Economy、Economics中译考——以“富国策”“理财学”“计学”“经济学”为中心的考察

尽管中国近代Economy、Economics中译名五花八门,数以十计,但最主要的有"富国策""理财学""计学""经济学"四个,而且它们之间呈现出前后递进的比较清晰的演进路线。其演进过程既受到西方"经济学"含义演变的"外因"的影响,也与当时中国移植西方经济学的"内因"相关。

“Introduction to Economics”留学生英文授课精品课程建设实践与探索

随着中国"一带一路"倡议的推进和高等教育国际化的发展,高职层次商科留学生人数迅速增加,相应的英文授课课程建设迅速涌现。本文对江苏高校留学生精品课程"Introduction to Economics"的课程定位、课程内容设置、教学资源建设、教学方法使用、考核评价方式等建设过程进行了总结,并提出了进一步强化建设效果的设想,为高职商科全英文授课课程建设提供参考。

On College English Reform from the Perspective of Language Economics

From the perspective of Language Economics,language education(including second language or foreign language education)is an economically valuable investment that has the function of promoting social development.However,there is an imbalance in the input and output of China’s college English education.From the perspective of language economics,this article focuses on the reform of College English courses in order to improve the efficiency of English teaching in common universities.

《Forest Policy and Economics》刊发中国林业经济论文追溯分析

以国际权威期刊《Forest Policy and Economics》为例,选取其2007—2017年刊发的与中国林业经济问题相关的文献,从国际视角对中国林业经济问题进行梳理与总结。基于统计分析,刊发的文献总体呈现数量波动增长、内容多样化、合作形式国际化,研究区域具体化,定量分析为主等特点。从林产品贸易、森林资源经营管理、森林转型等主题展开对中国林业经济研究的论述,以期为我国相关学者全面把握中国林业经济前沿研究进展和发展趋势提供参考与借鉴。

Human Capital Structure and Economic Growth:From the Perspective of New Structural Economics

The Chinese economy has achieved remarkable development over the past 40 years of reform and opening-up.However,with the narrowing of potential for efficiency improvement from resources reallocation and changes in population age structure,the Chinese economy has moved from high-speed growth to high-quality development.In this setting,understanding factor endowment and comparative advantages of the economy from a perspective of human capital structure so as to enhance industrial structure adaptability by riding the trend is of significance for cultivating new driving force for economic development.This paper,following a theoretical paradigm of new structural economics,demonstrates how human capital structure matches industrial structure and the presence of optimal human capital structure using mathematical deduction.On this basis,national level panel data and instrumental variables are adopted for generalized method of moments,the results of which shows that there are varied impacts on economic growth in light of different human capital structure characteristics.The proportions of high-level human capital and medium-level human capital boost economic development,while that of low-level human capital has an inhibitory effect on economic growth.The policy implication of this study is that large economies should diversify efforts as per different human capital structure characteristics in terms of development need of tapping growth impetus from human capital structure improvement.It is of equal importance to raise the proportion of high and medium human capital in order to stimulate economic growth and to cut the proportion of low human capital that hinders economic development.

Connotation and principles of ecological compensation in water source reserve areas based on the theory of externality

Understanding the connotation and principles of ecological compensation in water source reserve areas is the basis and guarantee for establishing and improving the ecological compensation mechanism of water source reserve areas.First,this paper reviews the three stages of ecological compensation research progress.Based on the review,using the theory of externality,the ecological environment system of water source reserve areas is then analyzed.This paper argues that the connotation of ecological compensation in water source reserve areas is a kind of institutional arrangement,which is designed to internalize externalities.Finally,based on the understanding of the connotation of ecological compensation in water source reserve areas,five principles for establishing and improving the ecological compensation mechanism are proposed,including the principle of fairness and justice,the principle of equivalence of equality and responsibility,the principle of flexibility and effectiveness,the principle of "earmark funds,and implementation by law," and the principle of government compensation supplemented with market compensation.

Study on Ecological Compensation for Coal Mining Activities Based on Economic Externalities

The development and exploration mode of coal resource activities in China result in tremendous waste of resources and ecological environment pollution problems. This article analyzed the use of economic theory of externalities of coal mining activities from the point of environmental economics principles, proposed the ecological compensation connotation of coal mining activities, and analyzed the feasibility of the implementation of ecological compensation from economic viewpoint.

External Costs and Optimum Use of Nitrogen Fertilizer Based on the Balance of Economic and Ecological Benefits in the Paddy Field System of the Dongting Lake Area, China

The external costs and the optimum use of nitrogen fertilizer based on the balance of economic and ecological benefits was studied with the paddy field system of Dongting Lake area, one of the main food production regions in China. The environmental impact was economically evaluated using methods of the environmental impact economical evaluation. The optimum use of nitrogen fertilizer was calculated based on the exterior diseconomy theory and by using the production function model. Both ecological benefits and farmers＇ economic benefits were considered. It was calculated on the data from 2002 that the losses caused by inappropriate utilization of nitrogen fertilizer in the process of food production were fishery, 0.1 × 10^7 RMB yuan; water treatment, 1.02 × 10^8 RMB yuan; tour business, 0.11 ×10^8 RMB yuan, and habitation environment, 0.3 × 10^7 RMB yuan, totally equivalent to 0.41 RMB yuan kg^-1 N. The economically satisfactory and the ecological agronomic nitrogen fertilizer dose for current production was 138 and 137 kg ha^-1, respectively. The research showed that the actual nitrogen fertilizer application amount in the paddy field system of the Dongting Lake area already reached or exceeded the farmers＇ economic satisfaction and the ecological agronomic nitrogen fertilizer dose for current production. An environmental tax is suggested to impose on over-use of nitrogen fertilizer.

Industrial Agglomeration Externalities, City Size, and Regional Economic Development： Empirical Research Based on Dynamic Panel Data of 283 Cities and GMM Method

Local governments have long been ardently pursuing the industrial specialization effect(MAR externalities) and industrial diversification effect(Jacobs externalities). Such a pursuit has resulted in severe distortion of resource allocation and negative effect on sustainability of local economic development. Regarding the effect from both MAR and Jacobs externalities on local economic development existing literature records notable disputes. Therefore, for local economic development, one important issue is which externality(MAR or Jacobs) can better bring the effect into play. By studying a panel data of 283 Chinese cities from 2003 to 2012 and applying dynamic plane data GMM method, this paper conducted a regression analysis of the relationship among industrial agglomeration externalities, city size, and regional economic development. The result indicates that with regard to the whole nation, MAR externalities are conducive to regional economy development whereas Jacobs externalities will, to an extent, restrain regional economic development. As regards eastern, middle, and western regions, MAR externalities are conducive only to the economic development of the eastern region; their effects on middle and western regions are insignificant. Moreover, the interaction item between MAR externalities and city size has a significant negative synergistic effect on national economic development and a certain acceleration effect on eastern region as well as a strong negative synergistic effect on the middle region and an insignificant effect on the western region. The interaction item between Jacobs externalities and city size has a positive synergistic effect on only the middle region and has an insignificant synergistic effect on both eastern and western regions. Capital stock and labor input have significant accelerating effects on GDP growth per capita of Chinese cities, whereas material capital and labor input remain primary driving forces for Chinese local economic development. Furthermore, human capital contributes to accelerating urban economic development, whereas government intervention restrains urban economic development.

Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

This paper presents a modified sliding mode control for fractional-order chaotic economical systems with parameter uncertainty and external disturbance. By constructing the suitable sliding mode surface with fractional-order integral, the effective sliding mode controller is designed to realize the asymptotical stability of fractional-order chaotic economical systems. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed sliding mode control method.