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

Abstract This paper presents a cooperative differential game of transboundary industrial pollution. A noted feature of the game model is that the industrial sectors remain competitive among themselves while the governments cooperate in pollution abatement. It is the first time that time consistent solutions are derived in a cooperative differential game on pollution control with industries and governments being separate entities. A stochastic version of the model is presented and a subgame-consistent cooperative solution is provided. This is the first study of pollution management in a stochastic differential game framework.

[1]  J. Nash,et al.  NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[2]  Rufus Isaacs,et al.  Differential Games , 1965 .

[3]  R. Bellman.  Dynamic programming. , 1957, Science.

[4]  W. Fleming.  Optimal Continuous-Parameter Stochastic Control , 1969 .

[5]  Avinash Dixit,et al.  A MODEL OF DUOPOLY SUGGESTING A THEORY OF ENTRY BARRIERS , 1978 .

[6]  X. Vives,et al.  Price and quantity competition in a differentiated duopoly , 1984 .

[7]  David Yeung,et al.  A differential game of industrial pollution management , 1992, Ann. Oper. Res..

[8]  E. Dockner,et al.  International Pollution Control: Cooperative versus Noncooperative Strategies , 1993 .

[9]  Olli Tahvonen,et al.  Carbon dioxide abatement as a differential game , 1994 .

[10]  Martina Stimming.  Capital accumulation subject to pollution control:Open‐loop versus feedback investment strategies , 1999, Ann. Oper. Res..

[11]  G. Zaccour,et al.  Time-consistent Shapley value allocation of pollution cost reduction , 1999 .

[12]  Environmental policy instruments in an international duopoly with feedback investment strategies , 2001 .

[13]  G. Zaccour,et al.  Time consistent side payments in a dynamic game of downstream pollution , 2001 .

[14]  Leon A. Petrosyan,et al.  Subgame Consistent Cooperative Solutions in Stochastic Differential Games , 2004 .

[15]  Georges Zaccour,et al.  Slowing deforestation pace through subsidies: a differential game , 2003, Autom..

[16]  Georges Zaccour,et al.  A differential game of joint implementation of environmental projects , 2004, Autom..

[17]  David W. K. Yeung,et al.  Cooperative Stochastic Differential Games , 2005 .

[18]  Georges Zaccour,et al.  A game-theoretic formulation of joint implementation of environmental projects , 2003, Eur. J. Oper. Res..

[19]  Leon A. Petrosyan,et al.  Dynamically stable corporate joint ventures , 2006, Autom..