Geodesic
A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs
Contributions to game theory and management, Tome 8 (2015), pp. 289-299 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The solution formula for the payoff distribution procedure of a bargaining problem in a cooperative differential game with nontransferable payoffs that lead to a time consistent outcome is proposed by Leon A. Petrosyan and D. W. K. Yeung (2014). In this paper we study this formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs. Pareto-optimal solution is studied as optimality principle. The time consistency and irrational behavior proof condition of this solution are investigated. As an example the government debt stabilization game is considered.
Keywords: linear-quadratic games, discrete-time games, games with nontransferable payoffs, time consistency, PDP, irrational behavior proof condition.
Mots-clés : Pareto-optimal solution 
@article{CGTM_2015_8_a22,
     author = {Anna V. Tur},
     title = {A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs},
     journal = {Contributions to game theory and management},
     pages = {289--299},
     year = {2015},
     volume = {8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2015_8_a22/}
}
TY  - JOUR
AU  - Anna V. Tur
TI  - A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs
JO  - Contributions to game theory and management
PY  - 2015
SP  - 289
EP  - 299
VL  - 8
UR  - http://geodesic.mathdoc.fr/item/CGTM_2015_8_a22/
LA  - en
ID  - CGTM_2015_8_a22
ER  - 
%0 Journal Article
%A Anna V. Tur
%T A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs
%J Contributions to game theory and management
%D 2015
%P 289-299
%V 8
%U http://geodesic.mathdoc.fr/item/CGTM_2015_8_a22/
%G en
%F CGTM_2015_8_a22
Anna V. Tur. A time-consistent solution formula for linear-quadratic discrete-time dynamic games with nontransferable payoffs. Contributions to game theory and management, Tome 8 (2015), pp. 289-299. http://geodesic.mathdoc.fr/item/CGTM_2015_8_a22/

[1] Aarle B. van, Bovenberg L., Raith M., “Monetary and fiscal policy interaction and government debt stabilization”, Journal of Economics, 62:2 (1995), 111–140 | Zbl

[2] Başar T., Olsder G. J., Dynamic Noncooperative Game Theory, Classics in Applied Mathematics, 2nd edition, SIAM, Philadelphia, 1999 | MR | Zbl

[3] Belitskaia A. V., “The D. W. K. Yeung Condition for Cooperative Differential Games with Nontransferable Payoffs”, Contributions to game theory and management, 5 (2012), 45–50 | MR

[4] Engwerda J. C., LQ Dynamic Optimization and Differential Games, John Wiley Sons, Chichester, 2005, 497 pp.

[5] Petrosyan L. A., Differential Games of Pursuit, World Scientific, Singapore, 1993 | MR | Zbl

[6] Petrosyan L. A., “Agreeable Solutions in Differential Games”, International Journal of Mathematics, Game Theory and Algebra, 7 (1997), 165-177 | MR

[7] Petrosyan L. A., Danilov N. N., Cooperative differential games and their applications, Izd. Tomskogo University, Tomsk, 1982 | MR

[8] Rincon-Zapatero J. P., Martin-Herran G., Martinez J., “Identification of Efficient Subgame-Perfect Nash Equilibria in a Class of Differential Games”, Journal of Optimization Theory and Applications, 104:1 (2000), 235–242 | MR | Zbl

[9] Yeung D. W. K., “An Irrational-Behavior-Proof Condition in Cooperative Differential Games”, IGTR, 8:1 (2006), 739–744 | MR | Zbl

[10] Yeung D. W. K., Petrosyan L. A., “A Time-consistent Solution Formula for Bargaining Problem in Differential Games”, Int. Game Theory Rev., 16:4 (2014), 1450016 | MR | Zbl