(AGT3E2) [Game Theory] Solving Subgame Perfect Nash equilibrium of Games with Imperfect Information

[@RichardLumumba]

One to explain to me how Wil you tell that the game has perfect or imperfect information

[@atriraychaudhuri3673]

dotted lines mean imperfect information at that stage

[@thickypiggy3611]

How do we count/identify these subgames? Is there are rule to it ?

[@randomjammer1854]

There is 2 proper subgame ...correct me if i'm wrong

[@footbaht6401]

No, just one.

[@alisuleiman7261]

when should we search for a NE in mixed strategies if we have a game like this? Thanks in advance!

[@zhangjockie6784]

should we also search mixed strategy in this game, man, the professor didn't say that, do you have the answer man?

[@fejfo6559]

@@zhangjockie6784 If I'm correct the mixed equilibrium of the subgame is player 1 playing L 50% of the time and player 2 playing U 25% of the time with expected value (5/4, 1/2)

[@HishamAlFoqaha]

Thank you

[@berkayserim1971]

By forward induction, shouldn't be (AD,R) be a SPNE? Player 1 deliberately chooses A, since he knows he can gain more by playing this. Given the rationality of player 2, he observes this rationale behind this choice and correctly anticipates that player 1 is going to play D in the normal form game, so player 2 should play R.

[@footbaht6401]

Because of the information set involved, player 1 does not know which node he's at. If Player 1 insists that he plays D, but he is at the node on the left, everyone gets 0 payoff. So forward induction fails when there's imperfect information. I think lol

[@benardmaswach1698]

You can not use backward induction because of imperfect information.

[@ERC_Academy_RA]

You should place your camera straight to the board.

[@cameronmahon7242]

I thought the same, but with this way the content is blocked far less often. Which is important because it allows the viewer to refer to the old (left) information when trying to make sense of the new (right) information.