Owen-Stable Coalition Partitions in Games with Vector Payoffs
作者： Vladimir V. Mazalov , Vladimir V. Mazalov , Vasily V. Gusev
DOI: 10.1134/S0005117921030139
关键词: Value (economics) 、 Stability conditions 、 Mathematical economics 、 Partition (politics) 、 Computer science 、 Imputation (statistics) 、 Characteristic function (convex analysis)
摘要: This paper is devoted to the study of multicriteria cooperative games with vector payoffs and coalition partition. An imputation based on concept Owen value proposed. The definition a stable partition for bi-criteria formulated. A three-player cooperative game 0-1 characteristic function considered and stability conditions a coalition are established.
springer.com
hse.ru
sci-hub.st 参考文章(10)
Vladimir Mazalov, Mathematical Game Theory and Applications ,(2014)
Luisa Monroy, Francisco R. Fernández, Multi-Criteria Simple Games Springer, Berlin, Heidelberg. pp. 157- 166 ,(2009) , 10.1007/978-3-540-85646-7_15
L. S. Shapley, Fred D. Rigby, Equilibrium points in games with vector payoffs Naval Research Logistics Quarterly. ,vol. 6, pp. 57- 61 ,(1959) , 10.1002/NAV.3800060107
Fioravante Patrone, Lucia Pusillo, Stef Tijs, Multicriteria games and potentials Top. ,vol. 15, pp. 138- 145 ,(2007) , 10.1007/S11750-007-0008-1
Graziano Pieri, Lucia Pusillo, Multicriteria Partial Cooperative Games Applied Mathematics-a Journal of Chinese Universities Series B. ,vol. 6, pp. 2125- 2131 ,(2015) , 10.4236/AM.2015.612186
Anna Rettieva, Equilibria in Dynamic Multicriteria Games International Game Theory Review. ,vol. 19, pp. 1750002- ,(2017) , 10.1142/S0219198917500025
Justo Puerto, Federico Perea, On minimax and Pareto optimal security payoffs in multicriteria games Journal of Mathematical Analysis and Applications. ,vol. 457, pp. 1634- 1648 ,(2018) , 10.1016/J.JMAA.2017.01.002
V. V. Gusev, Shapley, Owen and Aumann–Dreze values in a patrolling game with coalition structure Automation and Remote Control. ,vol. 78, pp. 1883- 1891 ,(2017) , 10.1134/S0005117917100113
Anna Rettieva, Dynamic Multicriteria Games with Finite Horizon Mathematics. ,vol. 6, pp. 156- ,(2018) , 10.3390/MATH6090156
Yasuo Sasaki, Rationalizability in multicriteria games International Journal of Game Theory. ,vol. 48, pp. 673- 685 ,(2019) , 10.1007/S00182-018-0655-5