Geodesic
The $\tau$-value in multistage games with pairwise interactions
Contributions to game theory and management, Tome 15 (2022), pp. 32-40

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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. 
@article{CGTM_2022_15_a3,
     author = {Mariia A. Bulgakova},
     title = {The $\tau$-value in multistage games with pairwise interactions},
     journal = {Contributions to game theory and management},
     pages = {32--40},
     publisher = {mathdoc},
     volume = {15},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2022_15_a3/}
}
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Mariia A. Bulgakova. The $\tau$-value in multistage games with pairwise interactions. Contributions to game theory and management, Tome 15 (2022), pp. 32-40. http://geodesic.mathdoc.fr/item/CGTM_2022_15_a3/