You might look at the literature on leader-member exchange. One of the things it shows is how subordinate behavior (e.g., performance) affects supervisor behavior. Here's some sources:
Dansereau, F., Graen, G., & Haga, W. J. (1975). A vertical dyad linkage approach to leadership within formal organizations: A longitudinal investigation of the role making process. Organizational Behavior & Human Performance, 13(1), 46-78.
Graen, G. B., & Uhl-Bien, M. (1995). Relationship-based approach to leadership: Development of leader-member exchange (LMX) theory of leadership over 25 years: Applying a multi-level multi-domain perspective. The Leadership Quarterly, 6(2), 219-247.
In an old article titled "Administrative Man: Origin or Pawn in Decision Making?" by Edwin M. Bridges (1970). The author argued that "Subordinates also affect
their superior's decisions by supplying information which points to one particular