Dynamically Consistent Cooperative Solution in a Differential Game of Transboundary Industrial Pollution

2007 ◽  
Vol 134 (1) ◽  
pp. 143-160 ◽  
Author(s):  
D. W. K. Yeung
Keyword(s):  
Differential Game ◽  
Industrial Pollution ◽  
Cooperative Solution

scholarly journals A Differential Game of Industrial Pollution Management considering Public Participation

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Chuansheng Wang ◽  
Fulei Shi ◽  
Cuiyou Yao
Keyword(s):  
Public Participation ◽  
Differential Game ◽  
Industrial Pollution ◽  
Rapid Development ◽  
Feedback Nash Equilibrium ◽  
Positive Part ◽  
The Public ◽  
Pollution Management ◽  
Reduce Emissions ◽  
The Government

In recent years, with the rapid development of economy, industrial pollution problems have become more and more serious. In this paper, a differential game model is proposed for industrial pollution management, in which public participation is taken into consideration. Then, a feedback Nash equilibrium (FBNE) solution is obtained among the government, enterprises, and the public. Finally, a numerical example is given to illustrate the results. The results show that the public participation will take a positive part in forcing enterprises to reduce emissions. Furthermore, with the increase of the probability of the public reporting the illegal discharge of pollutants by enterprises, the probability of enterprises' active emission reduction will also greatly increase

scholarly journals A Cooperative Stochastic Differential Game of Transboundary Industrial Pollution between Two Asymmetric Nations

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Yongxi Yi ◽  
Rongwei Xu ◽  
Sheng Zhang
Keyword(s):  
Differential Game ◽  
Pollution Control ◽  
Industrial Pollution ◽  
Stackelberg Game ◽  
Infinite Horizon ◽  
Pollution Abatement ◽  
Transboundary Pollution ◽  
Stochastic Differential Game ◽  
Tax Rate ◽  
Consistent Solution

Considering the fact that transboundary pollution control calls for the cooperation between interested parties, this paper studies a cooperative stochastic differential game of transboundary industrial pollution between two asymmetric nations in infinite-horizon level. In this paper, we model two ways of transboundary pollution: one is an accumulative global pollutant with an uncertain evolutionary dynamic and the other is a regional nonaccumulative pollutant. In our model, firms and governments are separated entities and they play a Stackelberg game, while the governments of the two nations can cooperate in pollution reduction. We discuss the feedback Nash equilibrium strategies of governments and industrial firms, and it is found that the governments being cooperative in transboundary pollution control will set a higher pollution tax rate and make more pollution abatement effort than when they are noncooperative. Additionally, a payment distribution mechanism that supports the subgame consistent solution is proposed.

A DIFFERENTIAL GAME OF POLLUTION CONTROL WITH OVERLAPPING GENERATIONS

2014 ◽  
Vol 16 (03) ◽  
pp. 1450005 ◽  
Author(s):  
STEFAN WRZACZEK ◽  
EKATERINA SHEVKOPLYAS ◽  
SERGEY KOSTYUNIN
Keyword(s):  
Differential Game ◽  
Age Structure ◽  
Pollution Control ◽  
Overlapping Generations ◽  
Optimal Strategies ◽  
Overlapping Generations Model ◽  
Cooperative Solution ◽  
Altruistic Motive

We formulate an overlapping generations model on optimal emissions with continuous age structure. We compare the noncooperative solution to the cooperative one and obtain fundamental differences in the optimal strategies. Also including an altruistic motive does not avoid the problem of the myopic noncooperative solution. Finally we define a time-consistent tax scheme to obtain the cooperative solution in the noncooperative case.

Stable Marketing Cooperation in a Differential Game for an Oligopoly

2018 ◽  
Vol 20 (03) ◽  
pp. 1750028 ◽  
Author(s):  
Mario A. García-Meza ◽  
Ekaterina Viktorovna Gromova ◽  
José Daniel López-Barrientos
Keyword(s):  
Finite Number ◽  
Dynamic Model ◽  
Differential Game ◽  
Cooperative Solution ◽  
Terminal Time ◽  
Marketing Cooperation ◽  
Number Of Firms

In this paper, we develop a dynamic model of an oligopoly playing an advertising game of goodwill accumulation with random terminal time. The goal is to find a cooperative solution that is time-consistent, considering a dynamic accumulation of goodwill with depreciation for a finite number of firms.

scholarly journals Limit policies in N-sector dynamic growth games with externalities

1997 ◽  
Vol 1 (2) ◽  
pp. 81-87
Author(s):  
Ronald D. Fischer ◽  
Leonard J. Mirman
Keyword(s):  
Differential Game ◽  
Optimal Policy ◽  
Cooperative Solution ◽  
Dynamic Growth ◽  
Games With Externalities

We examine an economy with n production sectors that interact via a production externality. We find a solution to the resulting dynamic differential game between sectors and compare it to the cooperative solution. As the number of sectors increases, the limiting policy is the optimal policy without a production externality. This policy is inefficient and, depending on the sign of the externality between sectors, the inefficiency is due to over- (or under-) consumption.

scholarly journals Time-Consistency of an Imputation in a Cooperative Hybrid Differential Game

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1830
Author(s):  
Ekaterina Gromova ◽  
Anastasiia Zaremba ◽  
Shimai Su
Keyword(s):  
Differential Game ◽  
Cumulative Distribution Function ◽  
Time Consistency ◽  
Analytical Form ◽  
Payoff Function ◽  
Time Inconsistency ◽  
Cumulative Distribution ◽  
Cooperative Solution ◽  
Problem Of Time ◽  
Imputation Distribution Procedure

This work is aimed at studying the problem of maintaining the sustainability of a cooperative solution in an n-person hybrid differential game. Specifically, we consider a differential game whose payoff function is discounted with a discounting function that changes its structure with time. We solve the problem of time-inconsistency of the cooperative solution using a so-called imputation distribution procedure, which was adjusted for this general class of differential games. The obtained results are illustrated with a specific example of a differential game with random duration and a hybrid cumulative distribution function (CDF). We completely solved the presented example to demonstrate the application of the developed scheme in detail. All results were obtained in analytical form and illustrated by numerical simulations.

Sign in / Sign up

Export Citation Format

Share Document