The τ-value in Multistage Games with Pairwise Interactions

Authors

  • Mariia A. Bulgakova Saint Petersburg State University

DOI:

https://doi.org/10.21638/11701/spbu31.2022.03

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 τ-value (Tijs, 1987). Earlier we calculated coefficient λ of τ-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 ≥ 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 τ-value in two-stage game.

Keywords:

cooperative games, network games, dynamic games, τ-value, pairwise interaction, time-consistency

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References

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Published

2023-01-25

How to Cite

Bulgakova, M. A. (2023). The τ-value in Multistage Games with Pairwise Interactions. Contributions to Game Theory and Management, 15, 32–40. https://doi.org/10.21638/11701/spbu31.2022.03

Issue

Vol. 15 (2022)

Section

Articles

License

Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.