<p>I was told that there is at least one mixed strategy for the following game, which is dominance solvable and has a pure strategy NE in DA</p>
<p>I thought dominated strategies will never be played, so how can this be possible?</p>
<p><a href="https://i.sstatic.net/7pSUY.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/7pSUY.png" alt="Dominance solvable game" /></a></p>

CC BY-SA 4.0
2022-07-03T17:53:49.483Z
I don't think this game has any mixed strategy NE in the sense that more than one pure strategies are played with positive probability by one player.
Herr K.
CC BY-SA 4.0
2022-07-04T11:01:10.630Z
Thanks Herr, I think you are correct.  I might have misunderstood the wordings of the question.  Thanks for answering this 
user41638
CC BY-SA 4.0
2022-07-15T21:12:38.313Z
Does this answer your question? [Can a dominance solvable game have a mixed strategy equilibrium?](https://economics.stackexchange.com/questions/52092/can-a-dominance-solvable-game-have-a-mixed-strategy-equilibrium)
Herr K.
<game-theory>
Can a dominance solvable game have mixed strategies?
user41638
# Can a dominance solvable game have mixed strategies?

(Asked by: username_0 on 2022-07-03)

I was told that there is at least one mixed strategy for the following game, which is dominance solvable and has a pure strategy NE in DA

I thought dominated strategies will never be played, so how can this be possible?

[![Dominance solvable game](https://i.sstatic.net/7pSUY.png)](https://i.sstatic.net/7pSUY.png)

**Tags:** game-theory

> **Comments:**
> **username_1**: I don't think this game has any mixed strategy NE in the sense that more than one pure strategies are played with positive probability by one player.  
> **username_0**: Thanks username_1, I think you are correct.  I might have misunderstood the wordings of the question.  Thanks for answering this   
> **username_1**: Does this answer your question? [Can a dominance solvable game have a mixed strategy equilibrium?](https://economics.stackexchange.com/questions/52092/can-a-dominance-solvable-game-have-a-mixed-strategy-equilibrium)  

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## 0 answers

