Probabilistic prospects of Stackelberg leader and follower

In this paper, we consider the family of allm×n bimatrix games, whose payoff entries are the players' orderings of the outcomes, and count the fraction of games whose Stackelberg solution is the leader'sh ^th best outcome and the follower'sk ^th best outcome (h,k≤mn). We conclude that the average leader and follower enjoy symmetric prospects, and that the advantage lies not in the leadership role, but in the relative size of the player's strategy space.