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Contributions to Game Theory and Management, 2022, Volume 15, Pages 32–40
DOI: https://doi.org/10.21638/11701/spbu31.2022.03
(Mi cgtm412)
 

The $\tau$-value in multistage games with pairwise interactions

Mariia A. Bulgakova

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, 7/9, Universitetskaya nab., St. Petersburg 199034, Russia
References:
Abstract: We consider multistage bimatrix games with pairwise interactions. On the first stage players chose their neighbours and formed a network. On the later stages bimatrix games between neighbours by network take places. As a solution consider the $\tau$-value (Tijs, 1987). Earlier we calculated coefficient $\lambda$ of $\tau$-value in case of two-stage game. Now we consider a general case of one-stage game with any players and any number of links. We assumed followings: $N$ is set of players, $|N|\geqslant 2$, and any type of network $g$. It is also assumed, that there are not necessarily paths between every pair of vertices. We will consider conditions for time-consistency of $\tau$-value in two-stage game.
Keywords: cooperative games, network games, dynamic games, $\tau$-value, pairwise interaction, time-consistency.
Funding agency Grant number
Russian Science Foundation 22-11-00051
This research was supported by the Russian Science Foundation grant No. 22-11-00051, https://rscf.ru/en/project/22-11-00051/.
Bibliographic databases:
Document Type: Article
Language: English
Citation: Mariia A. Bulgakova, “The $\tau$-value in multistage games with pairwise interactions”, Contributions to Game Theory and Management, 15 (2022), 32–40
Citation in format AMSBIB
\Bibitem{Bul22}
\by Mariia~A.~Bulgakova
\paper The $\tau$-value in multistage games with pairwise interactions
\jour Contributions to Game Theory and Management
\yr 2022
\vol 15
\pages 32--40
\mathnet{http://mi.mathnet.ru/cgtm412}
\crossref{https://doi.org/10.21638/11701/spbu31.2022.03}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4589454}
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