<p><a href="https://i.sstatic.net/sYO4A.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/sYO4A.png" alt="This is the problem."></a></p>

<p>For this question, I believe Albus has 3 strategies: N, E, and S, and Minerva has 8: aaa, aab, aba, abb, baa, bab, bba, and bbb.
I've also found the rollback equilibrium to be the case in which Albus chooses N and Minerva chooses b. However, I'm not sure how to represent this equilibrium (equilibria?).</p>

<p>Do we say that the <em>unique</em> equilibrium is simply (N, b), since those are the choices made by the players, or do we say there are 4 equilibria: (N, baa), (N, bab), (N, bba), (N, bbb) since Minerva's choices are in reality a set of strategies, all of which result in her choosing b in response to Albus playing N?</p>

<game-theory>
Sequential Game Rollback Equilibria Question
mizichael
# Sequential Game Rollback Equilibria Question

(Asked by: username_0 on 2018-03-10)

[![This is the problem.](https://i.sstatic.net/sYO4A.png)](https://i.sstatic.net/sYO4A.png)

For this question, I believe Albus has 3 strategies: N, E, and S, and Minerva has 8: aaa, aab, aba, abb, baa, bab, bba, and bbb.
I've also found the rollback equilibrium to be the case in which Albus chooses N and Minerva chooses b. However, I'm not sure how to represent this equilibrium (equilibria?).

Do we say that the *unique* equilibrium is simply (N, b), since those are the choices made by the players, or do we say there are 4 equilibria: (N, baa), (N, bab), (N, bba), (N, bbb) since Minerva's choices are in reality a set of strategies, all of which result in her choosing b in response to Albus playing N?

**Tags:** game-theory


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## 0 answers

