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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
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.
Citation:
Mariia A. Bulgakova, “The $\tau$-value in multistage games with pairwise interactions”, Contributions to Game Theory and Management, 15 (2022), 32–40
Linking options:
https://www.mathnet.ru/eng/cgtm412 https://www.mathnet.ru/eng/cgtm/v15/p32
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Abstract page: | 65 | Full-text PDF : | 19 | References: | 13 |
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