I see where you're coming from, but for the problem to be solvable at all we need to presuppose some base level of agreement about the world between you and you

I see where you're coming from, but for the problem to be solvable at all we need to presuppose some base level of agreement about the world between you and your partner. To take your critique even further (I haven't seen the article, original sub was a twitter link) how do I know that my partner agrees with me on the set of primary colors? Ultimately the problem is constructed to prompt a discussion so any reasonable "solution" would do, or if the stakes were life and death maybe the rational solution is to play forever as suggested by other commenters.