Santorini
Can a game of Santorini end in a draw or a stalemate?
Players agree there is no draw in the rules, but no designer ruling settles the stalemate case.
No. The rules have no drawn result: the board fills up until a player cannot move and build, and that player loses. Siren cannot loop forever alone, because her power needs an opponent worker that can still move, though some god powers (Siren, Morpheus, Ares) can stall indefinitely against each other if both players cooperate.