Skip to main content
Puzzling

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

3
  • $\begingroup$ Doesn't $\ell_b$ always equals $\ell_c$? I think you can also just work with $u_b - \ell_b$ and $u_c - \ell_c$ to narrow down to two variables. And, moreover it's always better to ask the question of the person whose have the largest upper bound. $\endgroup$
    – xnor
    Commented Jul 23, 2023 at 6:39
  • $\begingroup$ No, $\ell_b$ and $\ell_c$ are generally different. For example, if the first question is to Bob and the reply is yes, then $\ell_b=x$ and $\ell_c=1$. The new answer from @isaacg uses the other ideas you mentioned. $\endgroup$
    – RobPratt
    Commented Jul 23, 2023 at 13:22
  • $\begingroup$ I should have said that we can treat the two lower bounds as equal since any values one player has that are below the other player's lower bound are irrelevant, but it looks like @isaacg is already doing that too. $\endgroup$
    – xnor
    Commented Jul 23, 2023 at 21:37