Geodesic
D.\,W.\,K.~Yeung's Condition for the Coalitional Solution of the Game of Pollution Cost Reduction
Contributions to game theory and management, Tome 3 (2010), pp. 171-181

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper the problem of allocation over time of total cost incurred by coalitions of countries in a coalitional game of pollution reduction is considered. The Nash equilibrium in the game played by coalitions is computed and then the value of each coalition is allocated according to some given mechanism between its members. Obtained solution is time consistent and satisfies the irrational-behavior-proofness condition.
Keywords: differential game, cooperative game, dynamic programming, Hamilton–Jacobi–Bellman equation, Shapley value, Nash equilibrium, time-consistency, irrational-behavior-proofness condition. 
@article{CGTM_2010_3_a14,
     author = {Anna V. Iljina and Nadezhda V. Kozlovskaya},
     title = {D.\,W.\,K.~Yeung's {Condition} for the {Coalitional} {Solution} of the {Game} of {Pollution} {Cost} {Reduction}},
     journal = {Contributions to game theory and management},
     pages = {171--181},
     publisher = {mathdoc},
     volume = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a14/}
}
TY  - JOUR
AU  - Anna V. Iljina
AU  - Nadezhda V. Kozlovskaya
TI  - D.\,W.\,K.~Yeung's Condition for the Coalitional Solution of the Game of Pollution Cost Reduction
JO  - Contributions to game theory and management
PY  - 2010
SP  - 171
EP  - 181
VL  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2010_3_a14/
LA  - en
ID  - CGTM_2010_3_a14
ER  - 
%0 Journal Article
%A Anna V. Iljina
%A Nadezhda V. Kozlovskaya
%T D.\,W.\,K.~Yeung's Condition for the Coalitional Solution of the Game of Pollution Cost Reduction
%J Contributions to game theory and management
%D 2010
%P 171-181
%V 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2010_3_a14/
%G en
%F CGTM_2010_3_a14
Anna V. Iljina; Nadezhda V. Kozlovskaya. D.\,W.\,K.~Yeung's Condition for the Coalitional Solution of the Game of Pollution Cost Reduction. Contributions to game theory and management, Tome 3 (2010), pp. 171-181. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a14/