Dynamic Nash Bargaining Solution for two-stage network games
Contributions to game theory and management, Tome 11 (2018), pp. 66-72.

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

In this paper, two-stage network games are studied. At first stage of the game players form a network, while at second stage they choose strategies according to the network realized at the first stage. However, there are two kinds of two-stage networks. The first is a special class of two-stage network games when players have the opportunity to revised their network which they formed before. And the second is classical two-stage network. Cooperative setting is considered. In the cooperative case, we use Nash Bargaining Solution as a solution concept. It is demonstrated that the Nash Bargaining Solution satisfies the time consistency property for the special class of two-stage network game. But its not true for a classical two-stage network game.
Keywords: network, time-consistency, Nash Bargaining solution.
@article{CGTM_2018_11_a5,
     author = {Jie Junnan},
     title = {Dynamic {Nash} {Bargaining} {Solution} for two-stage network games},
     journal = {Contributions to game theory and management},
     pages = {66--72},
     publisher = {mathdoc},
     volume = {11},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2018_11_a5/}
}
TY  - JOUR
AU  - Jie Junnan
TI  - Dynamic Nash Bargaining Solution for two-stage network games
JO  - Contributions to game theory and management
PY  - 2018
SP  - 66
EP  - 72
VL  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2018_11_a5/
LA  - en
ID  - CGTM_2018_11_a5
ER  - 
%0 Journal Article
%A Jie Junnan
%T Dynamic Nash Bargaining Solution for two-stage network games
%J Contributions to game theory and management
%D 2018
%P 66-72
%V 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2018_11_a5/
%G en
%F CGTM_2018_11_a5
Jie Junnan. Dynamic Nash Bargaining Solution for two-stage network games. Contributions to game theory and management, Tome 11 (2018), pp. 66-72. http://geodesic.mathdoc.fr/item/CGTM_2018_11_a5/

[1] Petrosyan L. A., Sedakov A. A., Bochkarev A. O., “Two-stage Network Games”, Matematicheskaya Teoriya Igr i Ee Prilozheniya, 5:4 (2011), 84–104 | MR

[2] Jackson M., Watts A., “On the Formation of Interaction Networks in Social Coordination Games”, Games and Economic Behavior, 41:2 (2002), 265–291 | DOI | MR | Zbl

[3] Dutta B., van den Nouweland A., Tijs S., “Link Formation in Cooperative Situations”, International Journal of Game Theory, 27 (1998), 245–256 | DOI | MR | Zbl

[4] Petrosyan L. A., Sedakov A. A., “Multistage Network Games with Perfect Information”, Matematicheskaya Teoriya Igr i Ee Prilozheniya, 1:2 (2009), 66–81 | Zbl

[5] Ken Binmore, Ariel Rubinstein, Asher Wolinsky, “The Nash Bargaining Solution in Economic Modelling”, The RAND Journal of Economics, 17:2 (1986), 176–188 | DOI | MR

[6] Nash J., “Bargaining Problem”, Econometrica, 28 (1950), 155–152 | DOI | MR

[7] Kalai E., Schmeidler D., “Other Solutions to Nash Bargaining Problm.”, Econometrica, 43 (1975) | DOI | MR | Zbl