On a Multistage Link Formation Game

In the paper we consider a multistage network game with perfect information. In each stage of the game a network connecting players is given. In our setting we suppose that each network edge connecting two players has utility (utility of the first player from the connection with the second player), and players have the right to change the network structure in each stage. We propose a way of finding an optimal players behavior in this type of multistage game.