In any multiplayer game with imperfect recall where all players have the same utility function, “everyone using UDT” is a Nash equilibrium that gives everyone their highest possible expected utility.
Is it important that the players have imperfect recall? Does it work if they have perfect recall as well (in which case you’re just pointing out that perfect recall is not required)?
Is it important that the players have imperfect recall? Does it work if they have perfect recall as well (in which case you’re just pointing out that perfect recall is not required)?
Yeah, it works in both cases. Edited the post.