<p>Consider the game below played by three players. Player 1 chooses one of the rows (T vs B). Player 2 chooses one of the columns (L vs R). Player 3 chooses one of the three tables (A vs B vs C). Each payoffs cell gives payoffs to players 1, 2 and 3, respectively.</p>
<p>Why are the strategy profiles are (T, R, A), (B, L, A), (B, L, C) and (T, R, C)?</p>
<p>I am stuck in the fact that how do we start at choosing the equilibrium. So for example at A do I choose an equilibrium there and again at B and C. Or do you consider all three players simultaneously? For example, if Player 2 chooses L what's the player's 1 and 3 move?</p>
<p><a href="https://i.sstatic.net/8HpOx.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/8HpOx.png" alt="enter image description here" /></a></p>

CC BY-SA 4.0
2021-04-28T21:40:40.443Z
Hi, please see the faq on homework questions. Where exactly are you going wrong? have you attempted the question? We would really appreciate you showing some work, else you are very unlikely to get an answer and/or have the question closed in its current state.
Brennan
CC BY-SA 4.0
2021-04-28T23:31:38.397Z
@Brennan Hi, I edited the question but I don't know if it goes against to the site's policies again
Ana Ellis
CC BY-SA 4.0
2021-04-29T07:02:28.607Z
"*For example, if Player 2 chooses L what's the player's 1 and 3 move?*" Seems like you are having difficulties with the basic concepts. Do you understand bimatrix notation? Have you considered consulting with your lecturer/teacher's assistant?
Giskard
CC BY-SA 4.0
2021-04-29T10:09:19.607Z
@Giskard I have no problem with games with two players, but I haven't dealt with three often. But I will discuss it with the TA for more clarity
Ana Ellis
<microeconomics><game-theory><nash-equilibrium>
Nash equilibrium with three players
Ana Ellis
# Nash equilibrium with three players

(Asked by: username_0 on 2021-04-28)

Consider the game below played by three players. Player 1 chooses one of the rows (T vs B). Player 2 chooses one of the columns (L vs R). Player 3 chooses one of the three tables (A vs B vs C). Each payoffs cell gives payoffs to players 1, 2 and 3, respectively.

Why are the strategy profiles are (T, R, A), (B, L, A), (B, L, C) and (T, R, C)?

I am stuck in the fact that how do we start at choosing the equilibrium. So for example at A do I choose an equilibrium there and again at B and C. Or do you consider all three players simultaneously? For example, if Player 2 chooses L what's the player's 1 and 3 move?

[![enter image description here](https://i.sstatic.net/8HpOx.png)](https://i.sstatic.net/8HpOx.png)

**Tags:** microeconomics, game-theory, nash-equilibrium
> **Comments:**
> **username_1**: Hi, please see the faq on homework questions. Where exactly are you going wrong? have you attempted the question? We would really appreciate you showing some work, else you are very unlikely to get an answer and/or have the question closed in its current state.  
> **username_0**: @Brennan Hi, I edited the question but I don't know if it goes against to the site's policies again  
> **username_2**: "*For example, if Player 2 chooses L what's the player's 1 and 3 move?*" Seems like you are having difficulties with the basic concepts. Do you understand bimatrix notation? Have you considered consulting with your lecturer/teacher's assistant?  
> **username_0**: @Giskard I have no problem with games with two players, but I haven't dealt with three often. But I will discuss it with the TA for more clarity  

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## 0 answers

