<p>Perfect recall means that every player remembers her own history.</p>

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2021-11-29T08:56:10.063Z
ok...and something else....perfect recall is the same as perfect monitoring?
Nav89
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2021-11-29T08:56:29.627Z
Please post new questions as new questions.
Giskard
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2021-11-29T09:13:20.097Z
https://economics.stackexchange.com/questions/48556/perfect-recall-vs-perfect-monitoring happy?
Nav89
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2021-11-29T08:50:03.370Z
2021-11-29T08:50:03.370Z
Giskard
<p>When we assume that the players can recall perfectly everything about the previous stages of a game, in essence we assume that they know the history path that they followed until they reached to some point of the game. For example if we have a game with signals and actions played based on these signals, then the history can be of the form <span class="math-container">$h_{i,t}=(a_{i,t},s_{i,t})_{t=1}^T$</span> where <span class="math-container">$a_{i,t}$</span> are the past actions that player <span class="math-container">$i$</span> has played until time period <span class="math-container">$t$</span> and <span class="math-container">$s_{i,t}$</span> the signals that player <span class="math-container">$i$</span> received until time <span class="math-container">$t$</span>. Every other player <span class="math-container">$j \neq i$</span> has a history that she recalls and <span class="math-container">$h_t=(h_{i,t},h_{-i,t})$</span> denotes the profile of past histories of all the players. My question is the following:</p>
<p>Assuming perfect recall, means that every player <span class="math-container">$i$</span> remembers only her own history <span class="math-container">$h_{i,t}$</span> or that after each round the players somehow reveal their past actions and signals and all of them will know at <span class="math-container">$T+1$</span>, the profile of histories <span class="math-container">$h_{T+1}=(h_{i,T},h_{-i,T})$</span>?</p>

<mathematical-economics><game-theory><dynamic-games><extensive-games>
Perfect recall assumption
Nav89
# Perfect recall assumption

(Asked by: username_0 on 2021-11-29)

When we assume that the players can recall perfectly everything about the previous stages of a game, in essence we assume that they know the history path that they followed until they reached to some point of the game. For example if we have a game with signals and actions played based on these signals, then the history can be of the form $h\_{i,t}=(a\_{i,t},s\_{i,t})\_{t=1}^T$ where $a\_{i,t}$ are the past actions that player $i$ has played until time period $t$ and $s\_{i,t}$ the signals that player $i$ received until time $t$. Every other player $j \neq i$ has a history that she recalls and $h\_t=(h\_{i,t},h\_{-i,t})$ denotes the profile of past histories of all the players. My question is the following:

Assuming perfect recall, means that every player $i$ remembers only her own history $h\_{i,t}$ or that after each round the players somehow reveal their past actions and signals and all of them will know at $T+1$, the profile of histories $h\_{T+1}=(h\_{i,T},h\_{-i,T})$?

**Tags:** mathematical-economics, game-theory, dynamic-games, extensive-games

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## 1 answers

### Answer by username_1 on 2021-11-29. Score: 1

Perfect recall means that every player remembers her own history.

> **Comments:**
> **username_0**: ok...and something else....perfect recall is the same as perfect monitoring?  
> **username_1**: Please post new questions as new questions.  
> **username_0**: https://economics.stackexchange.com/questions/48556/perfect-recall-vs-perfect-monitoring happy?  

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