Geodesic
Two-stage network games modeling the Belt and Road Initiative
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 1, pp. 87-98

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

Inspired by the Belt and Road Initiative, we introduce a model of two-stage network games, when players first form a directed network (the first stage) and then they may reconsider the actions made at the first stage and choose controls to influence other players in a positive or negative way (the second stage). At both stages players get their payoffs. Considering a cooperative version of the game, we examine the problem of subgame network consistency and design an imputation distribution procedure as a new system of stage payments to guarantee the long-term cooperation. The Shapley value with exogenous directed graph constraint is used as a cooperative solution concept. Finally, we prove that a cooperative subgame is convex which ensures the non-emptiness of the core.
Keywords: network games, imputation distribution procedure, the Shapley value, directed graph, convex game.
Mots-clés : subgame consistency 
@article{VSPUI_2022_18_1_a6,
     author = {P. Suna and E. M. Parilina and H. W. Gaob},
     title = {Two-stage network games modeling the {Belt} and {Road} {Initiative}},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {87--98},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a6/}
}
TY  - JOUR
AU  - P. Suna
AU  - E. M. Parilina
AU  - H. W. Gaob
TI  - Two-stage network games modeling the Belt and Road Initiative
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2022
SP  - 87
EP  - 98
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a6/
LA  - en
ID  - VSPUI_2022_18_1_a6
ER  - 
%0 Journal Article
%A P. Suna
%A E. M. Parilina
%A H. W. Gaob
%T Two-stage network games modeling the Belt and Road Initiative
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2022
%P 87-98
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a6/
%G en
%F VSPUI_2022_18_1_a6
P. Suna; E. M. Parilina; H. W. Gaob. Two-stage network games modeling the Belt and Road Initiative. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 1, pp. 87-98. http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a6/