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ÆÓÐÍÀËÛ // Contributions to Game Theory and Management

Contributions to Game Theory and Management, 2022, òîì 15, ñòðàíèöû 218–225 (Mi cgtm425)

Owen value for dynamic games on networks
Leon Petrosyan, Yaroslavna B. Pankratova

References

1. Bulgakova, M. and Petrosyan, L., “About one multistage non-antagonistic network game”, Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 5:4 (2019), 603–615 (in Russian)  crossref  mathscinet
2. Cao, H., Ertin, E. and Arora, A., “MiniMax Equilibrium of Networked Differential Games”, ACM TAAS, 3:4 (2008), 1–21  crossref
3. Gao, H. and Pankratova, Y., “Cooperation in Dynamic Network Games”, Contributions to Game Theory and Management, 10 (2017), 42–67  mathnet  mathscinet
4. Gromova, E., “The Shapley Value as a Sustainable Cooperative Solution in Differential Games of Three Players”, Recent Advances in Game Theory and Applications, Static & Dynamic Game Theory: Foundations & Applications, eds. Petrosyan, L., Mazalov, V., Birkhäuser, Cham, 2016, 67–89  crossref  mathscinet  zmath
5. Meza, M. A. G. and Lopez-Barrientos, J. D., “A Differential Game of a Duopoly with Network Externalities”, Recent Advances in Game Theory and Applications, Static & Dynamic Game Theory: Foundations & Applications, eds. Petrosyan, L., Mazalov, V., Birkhäuser, Cham, 2016, 49–66  crossref  mathscinet  zmath
6. Owen, G., “Values of Games with a Priori Unions”, Essays in Mathematical Economics and Game Theory, eds. Henn, R. and Moeschlin, O., Springer Verlag, Berlin, 1977, 76–88  crossref  mathscinet
7. Pai, H. M., “A Differential Game Formulation of a Controlled Network”, Queueing SY, 64:4 (2010), 325–358  crossref  mathscinet  zmath
8. Petrosian, O. L., Gromova, E. V. and Pogozhev, S. V., “Strong time-consistent subset of core in cooperative differential games with finite time horizon”, Mat. Teor. Igr Pril., 8:4 (2016), 79–106 (in Russian)  mathnet  mathscinet  zmath
9. Petrosyan, L. A., “Cooperative Differential Games on Networks”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 143–150 (in Russian)  mathnet
10. Petrosyan, L. A. and Yeung, D. W. K., “Shapley value for differential network games: Theory and application”, JDG, 8:2 (2020), 151–166  crossref  mathscinet
11. Petrosyan, L. and Pankratova, Y., “Two Level Cooperation in Dynamic Network Games with Partner Sets”, International Conference on Mathematical Optimization Theory and Operations Research, Springer, Cham, 2022  mathscinet
12. Petrosyan, L., Yeung, D. W. K. and Pankratova, Y., “Dynamic Cooperative Games on Networks”, Mathematical Optimization Theory and Operations Research: Recent Trends, 20\textsuperscript{th} International Conference, MOTOR 2021, Revised Selected Papers, eds. Strekalovsky, A., Kochetov, Y., Gruzdeva, T. and Orlov, A., Springer Nature, 2021, 403–416  crossref  mathscinet
13. Petrosyan, L., Yeung, D. W. K. and Pankratova, Y., “Cooperative Differential Games with Partner Sets on Networks”, Trudy Instituta Matematiki i Mekhaniki UrO RAN, 27, no. 3, 2021, 286–295  mathnet  crossref  mathscinet
14. Petrosyan, L. and Sedakov, A., “Two-Level Cooperation in Network Games”, Game Theory for Networks, GameNets 2019, Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 277, eds. Avrachenkov, K., Huang, L., Marden, J., Coupechoux, M. and Giovanidis, A., Springer, Cham, 2019  crossref  mathscinet
15. Shapley, L. S., “A Value for N-person Games”, Contributions to the Theory of Games, eds. Kuhn, H., Tucker, A., Princeton University Press, Princeton, 1953, 307–317  mathscinet
16. Tijs, S. H., “An axiomatization of the $\tau $-value”, Math. Soc. Sci., 13 (1987), 177–181  crossref  mathscinet  zmath
17. Tur, A. and Petrosyan, L., “The Core of Cooperative Differential Games on Networks”, Mathematical Optimization Theory and Operations Research, MOTOR 2022, Lecture Notes in Computer Science, 13367, eds. Pardalos, P., Khachay, M., Mazalov, V., Springer, Cham, 2022  crossref  mathscinet  zmath
18. van den Brink, R. and van der Laan G., “A class of consistent share functions for games in coalition structure”, Games Econ Behav., 51 (2005), 193–212  crossref  mathscinet  zmath
19. Wie, B. W., “A Differential Game Approach to the Dynamic Mixed Behavior Traffic Network Equilibrium Problem”, Eur. J. Oper. Res., 83:1 (1995), 117–136  crossref  zmath
20. Yeung, D. W. K., “Time Consistent Shapley Value Imputation for Cost-saving Joint Ventures”, Mat. Teor. Igr Pril., 2:3 (2010), 137–149  mathnet  zmath
21. Yeung, D. W. K. and Petrosyan, L. A., “Subgame Consistent Cooperative Solution in Stochastic Differential Games”, J. Optimiz. Theory. App., 120:3 (2004), 651–666  crossref  mathscinet  zmath
22. Yeung, D. W. K. and Petrosyan, L. A., Subgame Consistent Cooperation: A Comprehensive Treatise, Springer, 2016  mathscinet  zmath
23. Yeung, D. W. K. and Petrosyan, L. A., Dynamic Shapley Value and Dynamic Nash Bargaining, Nova Science, New York, 2018  zmath
24. Zhang, H., Jiang, L. V., Huang, S., Wang, J. and Zhang, Y., “Attack-Defense Differential Game Model for Network Defense Strategy Selection”, IEEE Access. https://, 2018  crossref


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