Geodesic
On the Consistency of Weak Equilibria in Multicriteria Extensive Games
Contributions to game theory and management, Tome 5 (2012), pp. 168-177 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper considers weak equilibria properties for multicriteria $n$-person extensive games. It is shown that the set of subgame perfect weak equilibriums in multicriteria games with perfect information is non-empty, however one can not use the backwards induction procedure (in the direct way) to construct equilibria in multicriteria extensive game. Furthermore, we prove that weak equilibria satisfies time consistency in multicriteria extensive games (with perfect or incomplete information).
Keywords: extensive games, time consistency.
Mots-clés : multicriteria games, equilibria 
@article{CGTM_2012_5_a16,
     author = {Denis Kuzyutin},
     title = {On the {Consistency} of {Weak} {Equilibria} in {Multicriteria} {Extensive} {Games}},
     journal = {Contributions to game theory and management},
     pages = {168--177},
     year = {2012},
     volume = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2012_5_a16/}
}
TY  - JOUR
AU  - Denis Kuzyutin
TI  - On the Consistency of Weak Equilibria in Multicriteria Extensive Games
JO  - Contributions to game theory and management
PY  - 2012
SP  - 168
EP  - 177
VL  - 5
UR  - http://geodesic.mathdoc.fr/item/CGTM_2012_5_a16/
LA  - en
ID  - CGTM_2012_5_a16
ER  - 
%0 Journal Article
%A Denis Kuzyutin
%T On the Consistency of Weak Equilibria in Multicriteria Extensive Games
%J Contributions to game theory and management
%D 2012
%P 168-177
%V 5
%U http://geodesic.mathdoc.fr/item/CGTM_2012_5_a16/
%G en
%F CGTM_2012_5_a16
Denis Kuzyutin. On the Consistency of Weak Equilibria in Multicriteria Extensive Games. Contributions to game theory and management, Tome 5 (2012), pp. 168-177. http://geodesic.mathdoc.fr/item/CGTM_2012_5_a16/

[1] Borm P., Megen F., Tijs S., “A perfectness concept for multicriteria games”, Mathematical Methods of Operation Research, 49 (1999), 401–412 | DOI | MR | Zbl

[2] Fahretdinova V., “Positional games with vector payoffs”, MKO, 10 (2002), 151–153 (in Russian)

[3] Kuhn H., “Extensive games and the problem of information”, Annals of Mathematics Studies, 28 (1953), 193–213 | MR

[4] Kuzyutin D., Nikitina M., “On the consistency of equilibria in multicriteria extensive games”, The Fifth International Conference, Game Theory and Management, SPbGU, 2011, 144–145

[5] Nash J., “Equilibrium points in $n$-person games”, Proc. Nat. Acad. Sci., USA, 36 (1950), 48–49 | DOI | MR | Zbl

[6] Petrosjan L., Kuzyutin D., Consistent solutions of positional games, Saint Petersburg University Press, 2008 (in Russian)

[7] Petrosjan L., Puerto J., “Folk theorems in multicriteria repeated $n$-person games”, Sociedad de Estadistica e Investigation Operativa Top, 10:2 (2002), 275–287 | MR | Zbl

[8] Shapley L., “Equilibrium points in games with vector payoffs”, Naval Research Logistics Quarterly, 1959, 57–76 | DOI | MR

[9] Zhukovskiy V., Salukvadze M., The vector-valued maximin, Academic Press, N. Y., 1994 | MR | Zbl