In a competitive game scenario where two players must decide their next move while anticipating each other's responses, which strategy best utilizes backward induction for optimal decision-making?

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Seekh · Accepted Answer

Backward induction starts at the end of the game and works its way backward, so each player first thinks about what would happen in the last possible move and then uses that to decide earlier moves. In a two‑player competitive game, you imagine the opponent’s best reply to every possible action, then choose the action that gives you the best outcome against that reply. By repeatedly applying this reasoning from the final round back to the first round, you find a strategy that is optimal no matter what the opponent does. For example, if player 1 can choose “Attack” or “Defend” and player 2 will always “Counter” to Attack and “Hold” to Defend, backward induction shows that player 1 should choose “Defend” because it leads to the best guaranteed result. Thus, the strategy that uses backward induction is the one that anticipates and reacts to the opponent’s best responses at every stage, ensuring optimal play.

In a competitive game scenario where two players must decide their next move while anticipating each other's responses, which strategy best utilizes backward induction for optimal decision-making?

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