The τ-value in Multistage Games with Pairwise Interactions

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.