Geodesic
Two-stage minimum cost spanning tree game under fuzzy optimistic coalition
Contributions to game theory and management, Tome 15 (2022), pp. 81-95

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

This paper discusses the problem of cost allocation when players have different levels of optimism based on the two-stage minimum spanning tree game, and uses Choquet integral to calculate the characteristic function of fuzzy optimistic coalition and fuzzy pessimistic coalition. It is proved that the subgame of the two-stage clear optimistic coalition minimum cost spanning tree game is also a convex game. Finally, an example is used to prove that the two-stage fuzzy pessimistic coalition minimum cost spanning tree game has a dynamical instability solution.
Keywords: optimistic game, fuzzy game, Choquet integral, spanning tree game. 
@article{CGTM_2022_15_a7,
     author = {Zhao Guo and Dan Wang and Min Chen and Yin Li},
     title = {Two-stage minimum cost spanning tree game under fuzzy optimistic coalition},
     journal = {Contributions to game theory and management},
     pages = {81--95},
     publisher = {mathdoc},
     volume = {15},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2022_15_a7/}
}
TY  - JOUR
AU  - Zhao Guo
AU  - Dan Wang
AU  - Min Chen
AU  - Yin Li
TI  - Two-stage minimum cost spanning tree game under fuzzy optimistic coalition
JO  - Contributions to game theory and management
PY  - 2022
SP  - 81
EP  - 95
VL  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2022_15_a7/
LA  - en
ID  - CGTM_2022_15_a7
ER  - 
%0 Journal Article
%A Zhao Guo
%A Dan Wang
%A Min Chen
%A Yin Li
%T Two-stage minimum cost spanning tree game under fuzzy optimistic coalition
%J Contributions to game theory and management
%D 2022
%P 81-95
%V 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2022_15_a7/
%G en
%F CGTM_2022_15_a7
Zhao Guo; Dan Wang; Min Chen; Yin Li. Two-stage minimum cost spanning tree game under fuzzy optimistic coalition. Contributions to game theory and management, Tome 15 (2022), pp. 81-95. http://geodesic.mathdoc.fr/item/CGTM_2022_15_a7/