Coordinating Carbon Emissions via Production Quantities: A Differential Game Approach

Production emissions in the industrial sector are a major source of environmental pollution. In this paper, we explore how emission considerations are integrated with production decisions. We develop a dynamic model consisting of two firms located in the same industrial park, which satisfies exogenously given demands in separate markets. The two firms can build up or rundown stocks (full backlogging), both of which are costly. The emission cost depends on the total output of the two firms. We develop Nash equilibrium feedback strategies, where each firm decides on its output based on its inventory or the inventories of both. We also develop a social planning solution where decisions are centralized. We present the analytic results for the total profits in these settings. The results show the benefits of a decentralized approach over a centralized one, provided there is a mechanism for coordination. Finally, emission costs are compared for the various solution concepts.

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An Analysis of Environmental Efficiency and Environmental Pollution Treatment Efficiency in China’s Industrial Sector

Sustainability ◽

10.3390/su13052579 ◽

2021 ◽

Vol 13 (5) ◽

pp. 2579 ◽

Cited By ~ 1

Author(s):

Xiao-Ning Li ◽

Ying Feng ◽

Pei-Ying Wu ◽

Yung-Ho Chiu

Keyword(s):

Environmental Pollution ◽

Environmental Governance ◽

Income Group ◽

Industrial Sector ◽

High Income ◽

Environmental Efficiency ◽

Technical Level ◽

High Income Group ◽

Middle Income ◽

Income Groups

This research adopts the meta Dynamic Directional Distance Functions (DDF) model in order to calculate the environmental efficiency and environmental governance efficiency of China’s industrial sector from 2010 to 2017 from the overall, sub-regional, and sub-provincial perspectives and discusses the technical gaps in regional environmental pollution control and the reasons for ineffective environmental governance. The research results show that the overall level of environmental governance efficiency in China’s industrial sector is relatively high over this time period, and the group frontier calculation results have improved compared to the meta frontier. The actual technical level of the high-income group is closest to the potential technical level, and the upper-middle income group is still far from the potential technical level. The main reason for the ineffective environmental governance of the provinces in the high-income group is ineffective management, while the main reason for ineffective environmental governance of the provinces in the upper-middle-income groups is technical inefficiency. Regardless of high-income groups or upper-middle-income groups, each province’s inefficiency of environmental governance is caused by inefficiency of the input factors.

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Nash Equilibrium Sequence in a Singular Two-Person Linear-Quadratic Differential Game

Axioms ◽

10.3390/axioms10030132 ◽

2021 ◽

Vol 10 (3) ◽

pp. 132

Author(s):

Valery Y. Glizer

Keyword(s):

Nash Equilibrium ◽

Differential Game ◽

Quadratic Functional ◽

Linear Quadratic ◽

Feedback Controls ◽

Cheap Control ◽

Optimal Values ◽

Definition Of ◽

Zero Sum ◽

Equilibrium Sequence

A finite-horizon two-person non-zero-sum differential game is considered. The dynamics of the game is linear. Each of the players has a quadratic functional on its own disposal, which should be minimized. The case where weight matrices in control costs of one player are singular in both functionals is studied. Hence, the game under the consideration is singular. A novel definition of the Nash equilibrium in this game (a Nash equilibrium sequence) is proposed. The game is solved by application of the regularization method. This method yields a new differential game, which is a regular Nash equilibrium game. Moreover, the new game is a partial cheap control game. An asymptotic analysis of this game is carried out. Based on this analysis, the Nash equilibrium sequence of the pairs of the players’ state-feedback controls in the singular game is constructed. The expressions for the optimal values of the functionals in the singular game are obtained. Illustrative examples are presented.

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Feedback Strategies in a Nonzero-Sum Differential Game of Special Type

Automation and Remote Control ◽

10.1134/s000511792105012x ◽

2021 ◽

Vol 82 (5) ◽

pp. 889-901

Author(s):

E. A. Kolpakova

Keyword(s):

Differential Game ◽

Feedback Strategies

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Land Economic Efficiency and Improvement of Environmental Pollution in the Process of Sustainable Urbanization: Case of Eastern China

Land ◽

10.3390/land10080845 ◽

2021 ◽

Vol 10 (8) ◽

pp. 845

Author(s):

Binbin Chang ◽

Lei Chen

Keyword(s):

Land Use ◽

Environmental Pollution ◽

Carbon Emissions ◽

Temporal Evolution ◽

Eastern China ◽

Land Resources ◽

Land Use Efficiency ◽

Use Efficiency ◽

Spatio Temporal ◽

Land Economic

Economic development, environmental protection and land resources are important components in sustainable cities. According to the environmental Kuznets curve, developing countries are prone to environmental pollution problems while developing their economies. At the same time, as urbanization progresses, the problem of inadequate land resources and land use efficiency in China is coming to the fore. Although China is a developing country, it began to actively implement environmental protection measures years ago in an effort to transform itself into an innovative country. Therefore, as an economic and policy pioneer region, can eastern China benefit from all three aspects of land–economy–environment at the same time? Or will the increase in land economic efficiency (Land_EcoE) and the improvement of environmental pollution occur simultaneously? With the characteristics of land use efficiency and other concepts, this study combines economic factors and land factors to establish a Land_EcoE evaluation system. On the basis of mapping the spatio-temporal evolution of carbon emissions and Land_EcoE, and discussing the spatio-temporal evolution characteristics and correlation between them initially and visually by means of geographic data visualization, this study uses the data of 84 prefecture-level cities and municipalities directly under the central government in eastern China from 2011 to 2017 to test the research hypotheses from a quantitative perspective. Specifically, this study analyzes the correlation between Land_EcoE and environmental pollution by constructing a panel regression model. The conclusions show that, in general, the increase in Land_EcoE in eastern China is associated with the increase in carbon emissions. For a group of prefecture-level cities with the most developed economies in eastern China, the increase in Land_EcoE is correlated with the decrease in carbon emissions. Based on this research, this study proposes a series of policy implications on how to promote simultaneous economic–land–environmental benefits.

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Feedback Nash Equilibrium of N Agents Fishery Problem

International Business Research ◽

10.5539/ibr.v14n5p78 ◽

2021 ◽

Vol 14 (5) ◽

pp. 78

Author(s):

Letian Jiao ◽

Haitao Chen

Keyword(s):

Nash Equilibrium ◽

Differential Game ◽

Feedback Nash Equilibrium ◽

Common Resource ◽

Resource Stock

This paper is built on the fundamental of Jorgensen and Sorge considering a differential game about fishery problem. In reality, the exploiters can be many because of the non-excludability of common resource. Thus, we expand the former two players model to N players model and we find more different equilibriums in N players scenario. Through this, we want to find some guidance for the changing of common resource stock. Further to control overexploitation.

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Constructing an Environmental Friendly Low-Carbon-Emission Intelligent Transportation System Based on Big Data and Machine Learning Methods

Sustainability ◽

10.3390/su12198118 ◽

2020 ◽

Vol 12 (19) ◽

pp. 8118

Author(s):

Tu Peng ◽

Xu Yang ◽

Zi Xu ◽

Yu Liang

Keyword(s):

Sustainable Development ◽

Environmental Pollution ◽

Carbon Emissions ◽

Carbon Emission ◽

Intelligent Transportation ◽

Exhaust Emissions ◽

Low Carbon ◽

Vehicle Exhaust ◽

The Sustainable Development ◽

Low Carbon Emission

The sustainable development of mankind is a matter of concern to the whole world. Environmental pollution and haze diffusion have greatly affected the sustainable development of mankind. According to previous research, vehicle exhaust emissions are an important source of environmental pollution and haze diffusion. The sharp increase in the number of cars has also made the supply of energy increasingly tight. In this paper, we have explored the use of intelligent navigation technology based on data analysis to reduce the overall carbon emissions of vehicles on road networks. We have implemented a traffic flow prediction method using a genetic algorithm and particle-swarm-optimization-enhanced support vector regression, constructed a model for predicting vehicle exhaust emissions based on predicted road conditions and vehicle fuel consumption, and built our low-carbon-emission-oriented navigation algorithm based on a spatially optimized dynamic path planning algorithm. The results show that our method could help to significantly reduce the overall carbon emissions of vehicles on the road network, which means that our method could contribute to the construction of low-carbon-emission intelligent transportation systems and smart cities.

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Forecasting Carbon Emissions with Dynamic Model Averaging Approach: Time-Varying Evidence from China

Discrete Dynamics in Nature and Society ◽

10.1155/2020/8827440 ◽

2020 ◽

Vol 2020 ◽

pp. 1-14

Author(s):

Siqi Xu ◽

Yifeng Zhang ◽

Xiaodan Chen

Keyword(s):

Carbon Dioxide ◽

Dynamic Model ◽

Carbon Emissions ◽

Carbon Emission ◽

Predictive Power ◽

Carbon Dioxide Emission ◽

Model Averaging ◽

Predictive Ability ◽

Time Varying ◽

Dynamic Model Averaging

Although energy-related factors, such as energy intensity and energy consumption, are well recognized as major drivers of carbon dioxide emission in China, little is known about the time-varying impacts of other macrolevel nonenergy factors on carbon emission, especially those from macroeconomic, financial, household, and technology progress indicators in China. This paper contributes to the literature by investigating the time-varying predictive ability of 15 macrolevel indicators for China’s carbon dioxide emission from 1982 to 2017 with a dynamic model averaging (DMA) method. The empirical results show that, firstly, the explanatory power of each nonenergy predictor changes significantly with time and no predictor has a stable positive/negative impact on China’s carbon emissions throughout the whole sample period. Secondly, all these predictors present a distinct predictive ability for carbon emission in China. The proportion of industry production in GDP (IP) shows the greatest predictive power, while the proportion of FDI in GDP has the smallest forecasting ability. Interestingly, those Chinese household features, such as Engel’s coefficient and household savings rate, play very important roles in the prediction of China’s carbon emission. In addition, we find that IP are losing its predictive power in recent years, while the proportion of value-added of the service sector in GDP presents not only a leading forecasting weight, but a continuous increasing prediction power in recent years. Finally, the dynamic model averaging (DMA) method can produce the most accurate forecasts of carbon emission in China compared to other commonly used forecasting methods.

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