They do not need to choose the same thing.The idea is, either you beat what the first one picked or you don’t, based on what you choose. It is kind of like RNG, except the two players are the ones doing the RNG work, like playing cards. You don’t know what your opponent will throw at you from their deck. The only difference here is that you already have a card in the deck that can beat the first one, you just need to guess right. So no matter what faster player picks, they can still lose if you choose something that beats what they drew.
You’d have a system of 4 cards. You do not know what opponent picked. You guess.
A beats B & C
B beats C & D
C beats D
D beats A
Player 1 (faster) chooses A
Player 2 (slower) is now given a choice between D (beats A) or C (loses to A).
Player 1 chooses B.
Player 2 is now given a choice between C (loses) & A (wins)
Player 1 chooses C.
Player 2 is now given a choice between A (wins) and D (loses)
Player 1 chooses D.
Player 2 is now given a choice between B (wins) and A (loses).
This way there is always a winer and a loser but they do it by their own guesses. So no machine RNG, just card game RNG. And that’s pretty much what players do when they play JWA. It’s a card game, except you don’t even get to choose sometimes because you may not even have any winning card from the start in current JWA arena.
In other words, my idea is to give players a kind of feeling of choice, even if it’s all luck-based still. At least your location on the planet won’t matter.
Heck it can all just be simplified to guessing what your opponent chose out of 2 choices, and if you guess right you go first. If you guess wrong, you go last.