<p>In more detail, payoffs in the table: the first number is associated with the payoff for the first player, the second number on contrary - with the second player's payoff. </p>

<p>Assume the second player plays (K,K), then which one you are going to play? L or R? Of course - L (as <span class="math-container">$3&gt;2$</span>). Then assume the second player plays (K,U), what is the first player's best strategy? It is again L (because <span class="math-container">$3&gt;0$</span>). And so on.</p>

<p>Works exactly like a standard payoff matrix you might have seen before. </p>

<p><a href="https://i.sstatic.net/YmYvN.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/YmYvN.png" alt="enter image description here"></a></p>

<p>Picture comes from wiki page: <a href="https://en.wikipedia.org/wiki/Normal-form_game" rel="nofollow noreferrer">this one</a>.</p>

CC BY-SA 4.0
2019-11-15T17:11:28.853Z
2019-11-15T17:21:46.490Z
2019-11-15T17:21:46.490Z
bajun65537
<p>For example, on the section with the title "sequential games in normal form" of this <a href="https://en.wikipedia.org/wiki/Normal-form_game" rel="nofollow noreferrer">wikipedia page</a>, there is a table with all its SPNE and nash equilibrium labelled. How are the NEs obtained? It seems have something to do with the underlined numbers in the table. However, I am not sure based on what rule are the numbers underlined.</p>

<game-theory><nash-equilibrium>
How to read nash equilibrium from a normal form?
Aqqqq
# How to read nash equilibrium from a normal form?

(Asked by: username_0 on 2019-11-15)

For example, on the section with the title "sequential games in normal form" of this [wikipedia page](https://en.wikipedia.org/wiki/Normal-form_game), there is a table with all its SPNE and nash equilibrium labelled. How are the NEs obtained? It seems have something to do with the underlined numbers in the table. However, I am not sure based on what rule are the numbers underlined.

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

---

## 1 answers

### Answer by username_1 on 2019-11-15. Score: 2 | Accepted answer

In more detail, payoffs in the table: the first number is associated with the payoff for the first player, the second number on contrary - with the second player's payoff.

Assume the second player plays (K,K), then which one you are going to play? L or R? Of course - L (as $3>2$). Then assume the second player plays (K,U), what is the first player's best strategy? It is again L (because $3>0$). And so on.

Works exactly like a standard payoff matrix you might have seen before.

[![enter image description here](https://i.sstatic.net/YmYvN.png)](https://i.sstatic.net/YmYvN.png)

Picture comes from wiki page: [this one](https://en.wikipedia.org/wiki/Normal-form_game).


---

