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For a normal-form game G and a player i, can removing actions from player i yield a better Nash equilibrium *for i*?

Has this been investigated?

This actually cruxes my position on explotation

Well, slightly, since game theory is so rarely applicable

@niplav This is one of the motivations for precommitments as a strategy, isn't it? At least the practical version. And I think I saw mentioned that this concept itself is as old as Sun Tzu, but low confidence.

@timorl

Huh, I think you're right. In chicken you can improve the situation for one player by removing the option to swerve for them. So you precommit for them…

@niplav it seems trivially true that there are cases where this applies, but I don't think you can make a strong statement about how to get more general or specific than saying "sometimes, yes."

By contrast, it seems like coordination between players is like the Swiss Army Knife of game theory.

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