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.

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 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.

TIDAL FLATS DEVELOPMENT MODEL OF COASTAL AREAS —A CASE STUDY OF YANCHENG CHINA

2020 ◽  
pp. 25-28
Author(s):  
XU HUILIN ◽  
CHEN HUIHUI ◽  
ZHOU WEI ◽  
FU JIAJIA
Keyword(s):  
Coastal Areas ◽  
Tidal Flats ◽  
Development Model ◽  
Ecological Environment ◽  
Present Stage ◽  
Important Resource ◽  
Modern Agriculture ◽  
Dynamic Growth

Tidal fats resources is an important resource in coastal areas of China, which shows a trend of dynamic growth. Ratonal development and efectve utlizaton of tdal fats resources can alleviate the contradicton between more people and less land in China, and is of great signifcance to the development of coastal economy and the protecton of ecological environment in China. Taking Yancheng Tidal Flats of Coastal Areas as an example, analyzes the present situaton of development and utlizaton and the existng problems at the present stage. Relying on the existng industrial foundaton, this paper puts forward the development and utlizaton model of strengthening the constructon of port-neighboring industry, towns and ecological leisure tourism on the basis of modern agriculture

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