<p>A statement from Ponssard and Zamir "Zero-sum sequential games with incomplete information" at the bottom of the first page reads</p>

<blockquote>
  <p>AM's result is for zero-sum two-person games in which the two players move simultaneously. This includes of course games in which the moves are made sequentially: Player I moves first, player II is informed of player I's move and then makes his own move. (Such a game can be looked at as a simultaneous game after redefining the pure strategies of player II.)</p>
</blockquote>

<p>I am curious about the last statement in parentheses. How does one "redefine" the strategies of the follower to make the game simultaneous move?</p>

CC BY-SA 4.0
2019-06-04T16:32:03.457Z
I think they simply mean that you can rewrite an extensive-form game with a strategy like "first play A then play L if player 2 played X and play R if player 2 played Y" in matrix form and call this strategy ALR. That is, simply redefine the game such that the simultaneous-move action is a simultaneously set contingent plan of actions.
Bayesian
<game-theory>
Convert a sequential move game into a simultaneous move game
jonem
# Convert a sequential move game into a simultaneous move game

(Asked by: username_0 on 2019-06-04)

A statement from Ponssard and Zamir "Zero-sum sequential games with incomplete information" at the bottom of the first page reads

> AM's result is for zero-sum two-person games in which the two players move simultaneously. This includes of course games in which the moves are made sequentially: Player I moves first, player II is informed of player I's move and then makes his own move. (Such a game can be looked at as a simultaneous game after redefining the pure strategies of player II.)

I am curious about the last statement in parentheses. How does one "redefine" the strategies of the follower to make the game simultaneous move?

**Tags:** game-theory

> **Comments:**
> **username_1**: I think they simply mean that you can rewrite an extensive-form game with a strategy like "first play A then play L if player 2 played X and play R if player 2 played Y" in matrix form and call this strategy ALR. That is, simply redefine the game such that the simultaneous-move action is a simultaneously set contingent plan of actions.  

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## 0 answers

