楼主应该把该概念的全文发来。

The existence of an exact potential function further implies the finite improvement
property (FIP) (Monderer and Shapley, 1991): Any sequence of strategytuples
in which each strategy-tuple differs from the preceding one in only one
coordinate (such a sequence is called a path), and the unique deviator in each
step strictly increases the payoff he receives (an improvement path), is finite.

我的理解是：玩家的每阶段累进收益有限！或有限的阶段性路径依赖型累进收益

”有限的改善性“ 如何？