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Let's say two players are playing a game to maximize an objective $O$.

The first player learns the best-response function of the second player (how second player move will affect the objective), and the second player plays by observing the best-response function from the first player.

Is there a name for these kinds of strategy? Thank you very much!

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If you are describing a game where the first player makes a move by correctly anticipating what the second player will respond to that move, then you can call such reasoning backward induction.

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  • $\begingroup$ Thank you for your answer! I was more looking for two agent game, where the first agent just learns the best-response function and the other follows the best-response function learnt by the first agent. I was suspecting it is called Stackelberg competition. $\endgroup$ – JLB May 4 at 2:39
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    $\begingroup$ @JLB Stackelberg competiton is the name of a game in the context of industrial organization. Backward induction is the method to solve such games. $\endgroup$ – Herr K. May 4 at 17:25
  • $\begingroup$ Thanks! I should look into that :) $\endgroup$ – JLB May 4 at 22:11

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