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Could someone help guide me on finding the players with perfect recall, and those without? For those players that do not have perfect recall, what do they forget? Step-by-step guidance would be greatly appreciated!

I am new to game theory and am preparing for a test by solving practice questions in my textbook.

Furthermore, if anyone happens to know of a good resource for working solutions to masters-level game theory problems like these, it would be greatly appreciated! I am still trying to understand how to approach these problems in general.

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    $\begingroup$ There are two ways to get from the root to I's second information set, $T_1, b$ and $B_1$. Within this information set, I cannot distinguish between the two histories. What does this tell you about I? $\endgroup$ – VARulle Jul 7 '20 at 11:04
  • $\begingroup$ It's not clear what you mean. Presumably the lower hierarchy players would have more recall if they have seen the other players lose. Can you perhaps formalize what you are trying to present? Here's your step by step 1. Define recall 2. Define the players 3. Match and rank 1 to 2 $\endgroup$ – D J Sims Jul 8 '20 at 8:07
  • $\begingroup$ @Tomcat: No, $T_1$ and $B_1,T_2$ are the two ways to reach II's unique information set. The interesting part is in reaching player I's second information set. $\endgroup$ – VARulle Jul 19 '20 at 14:55
  • $\begingroup$ Oh yes. I mistook the labels on the info set. You're absolutely correct!. Im deleting my comment. $\endgroup$ – user28372 Jul 19 '20 at 15:25
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Hint:

A player with perfect recall means the player remembers the history of the moves up to the current information set. In particular, he remembers the previous actions he has taken.

Now in Player $\mathrm I$'s second information set, can he recall whether he has taken $T_1$ or $B_1$ in his first information set?

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