If never giving up really is the best strategy, then you can assume they’ll use it. If they’re using it, it’s better to give up now. If you assume they use a mixed strategy in which they have a chance of giving up, it really doesn’t matter what you do, as is often the case with Nash equilibria, but you have to use the same mixed strategy or they’d change theirs.
If never giving up really is the best strategy, then you can assume they’ll use it. If they’re using it, it’s better to give up now. If you assume they use a mixed strategy in which they have a chance of giving up, it really doesn’t matter what you do, as is often the case with Nash equilibria, but you have to use the same mixed strategy or they’d change theirs.