<p>There are <strong><em>strictly</em> dominated strategies</strong> and <strong><em>weakly</em> dominated strategies</strong>. </p>

<p><strong>Strictly dominated strategies</strong> have payoffs <em>always lower</em> (i.e. "$&lt;$") than another strategy that dominates it.</p>

<p><strong>Weakly dominated strategies</strong> have payoffs <em>always no higher</em> (i.e. "$\le$") than another strategy that dominates it.</p>

<p>You example features $L$ as a weakly (not strictly) dominated strategy.</p>

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2017-05-27T23:36:24.663Z
2017-05-27T23:36:24.663Z
Herr K.
<p>I have a question about dominated strategy. I understand that dominated strategy is one which is dominated by another strategy. For instance if we have strategy L and H for a single player and if all payoffs of L are lower than that of H then we say L is "dominated" by H.</p>

<p>What if we have a situation where two of L's strategies are lower than that of H's but one of them is the same? e.g. 
$$L: 10, 2, 0 $$
$$H: 10, 5, 2, $$</p>

<p>We can see that $5&gt;2$ and $2&gt;0$ but $10=10$.</p>

<p>In this case, do we say that L is dominated by H? Or all payoffs need to be strictly greater for it to be considered dominated? </p>

<game-theory>
Dominated Strategy
thisisme
# Dominated Strategy

(Asked by: username_0 on 2017-05-27)

I have a question about dominated strategy. I understand that dominated strategy is one which is dominated by another strategy. For instance if we have strategy L and H for a single player and if all payoffs of L are lower than that of H then we say L is "dominated" by H.

What if we have a situation where two of L's strategies are lower than that of H's but one of them is the same? e.g.
$$L: 10, 2, 0 $$
$$H: 10, 5, 2, $$

We can see that $5>2$ and $2>0$ but $10=10$.

In this case, do we say that L is dominated by H? Or all payoffs need to be strictly greater for it to be considered dominated?

**Tags:** game-theory

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## 1 answers

### Answer by username_1 on 2017-05-27. Score: 2 | Accepted answer

There are ***strictly* dominated strategies** and ***weakly* dominated strategies**.

**Strictly dominated strategies** have payoffs *always lower* (i.e. "$<$") than another strategy that dominates it.

**Weakly dominated strategies** have payoffs *always no higher* (i.e. "$\le$") than another strategy that dominates it.

You example features $L$ as a weakly (not strictly) dominated strategy.


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