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by HWR_14 1355 days ago
This is only true if your goal is to have a score higher than your opponent. It's not true if your goal is to have the highest possible score.

If ties are with 0, you always choose 1 in either situation. If ties are worth -1, choosing 1 always achieves a greater than or equal to score but the number will be much lower than if you some percentage of the time choose another number.

1 comments

> This is only true if your goal is to have a score higher than your opponent

That is what “dominant” in game theory means, which was the specific claim that’s being discussed.

No you are incorrect in what a "dominant" strategy means. It has nothing to do with dominating your opponent.
A dominant strategy in game theory means it's your best strategy, regardless of what strategy your opponents pick.

> https://en.wikipedia.org/wiki/Strategic_dominance

> In game theory, strategic dominance (commonly called simply dominance) occurs when one strategy is better than another strategy for one player, no matter how that player's opponents may play.

That is what is being described above.