<p>Yes. There are no proper subgames then, so all NE are trivially SP.</p>

CC BY-SA 4.0
2020-11-16T09:54:27.087Z
2020-11-16T09:54:27.087Z
VARulle
<p>If a sequential game can be validly represented in the 'normal form' then that means the game has only one sub-game - the whole game. In that case any NE is also SPNE.</p>

CC BY-SA 4.0
2020-11-16T10:02:27.727Z
2020-11-16T10:02:27.727Z
csilvia
<p>If you draw the corresponding game tree, you will see that &quot;equivalent to simultaneous move game&quot; implies that the game has no proper subgame and the only subgame is the whole game.
This is because the information set of the second player covers every move of the first player.
Therefore, every Nash equilibrium is trivially also subgame perfect.</p>

CC BY-SA 4.0
2020-11-16T09:54:37.843Z
2020-11-16T09:54:37.843Z
Bayesian
<p>If we have a sequential game which is equivalent to a simultaneous move game because of its information structure, then the NE we find are also SPNE?</p>

CC BY-SA 4.0
2020-11-16T13:28:52.077Z
What does "equivalent to a simultaneous move game because of its information structure" mean?
Michael Greinecker
<game-theory><nash-equilibrium>
SPNE of a normal form game
ceins
# SPNE of a normal form game

(Asked by: username_0 on 2020-11-16)

If we have a sequential game which is equivalent to a simultaneous move game because of its information structure, then the NE we find are also SPNE?

**Tags:** game-theory, nash-equilibrium

> **Comments:**
> **username_1**: What does "equivalent to a simultaneous move game because of its information structure" mean?  

---

## 3 answers

### Answer by username_4 on 2020-11-16. Score: 7 | Accepted answer

If you draw the corresponding game tree, you will see that "equivalent to simultaneous move game" implies that the game has no proper subgame and the only subgame is the whole game.
This is because the information set of the second player covers every move of the first player.
Therefore, every Nash equilibrium is trivially also subgame perfect.


---

### Answer by username_2 on 2020-11-16. Score: 4

Yes. There are no proper subgames then, so all NE are trivially SP.


---

### Answer by username_3 on 2020-11-16. Score: 3

If a sequential game can be validly represented in the 'normal form' then that means the game has only one sub-game - the whole game. In that case any NE is also SPNE.


---

