<p>Consider the class of normal form games with strategy sets S_1, ..., S_n, where each player's utility function depends only on its own and the previous players' strategies. i.e. u_i(s_1,...,s_n) = u'_i(s_1,...,s_i), for some u'.</p>
<p>Is there a name for this class of games?</p>

CC BY-SA 4.0
2023-10-02T05:54:27.210Z
I don't know, but notice that for this type of games, you can find the Nash equilibria by sequentially eliminating weakly dominated strategies.
tdm
CC BY-SA 4.0
2023-10-02T16:05:08.590Z
@tdm, also notice that the normal-form game corresponding to an extensive form game where each player makes one decision (with perfect information) has this structure as well.
user56834
<game-theory>
Name for games where the i'th player's utility depends only on the actions of players 1 to i?
user56834
# Name for games where the i'th player's utility depends only on the actions of players 1 to i?

(Asked by: username_0 on 2023-10-01)

Consider the class of normal form games with strategy sets S\_1, ..., S\_n, where each player's utility function depends only on its own and the previous players' strategies. i.e. u\_i(s\_1,...,s\_n) = u'\_i(s\_1,...,s\_i), for some u'.

Is there a name for this class of games?

**Tags:** game-theory
> **Comments:**
> **username_1**: I don't know, but notice that for this type of games, you can find the Nash equilibria by sequentially eliminating weakly dominated strategies.  
> **username_0**: @tdm, also notice that the normal-form game corresponding to an extensive form game where each player makes one decision (with perfect information) has this structure as well.  

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## 0 answers

