This made me think of a hypothetical game where the players roll dice to determine their order of turns. The rolling will continue until every player is assigne

This made me think of a hypothetical game where the players roll dice to determine their order of turns. The rolling will continue until every player is assigned a turn. If some other player rolls multiple times in the middle then that player gets multiple turns. So for example with a 6 sided die and 2 players, faces 1, 3, 5 correspond to player 1 and 2, 4, 6 to player 2. They roll dice and the rolls come out as 1, 1, 5, 3, 5, 2. That means player 1 will get a turn 5 times per round while player 2 gets 1 turn. To make it fairer, player 2 would receive some sort of advantage corresponding to the lack of turns compared to player 1. The game would be designed in such a way that novices would prefer getting multiple turns in a round while experts would prefer to get a single turn for themselves and maximizing the total number of turns per round.