The literature initiated by Green and Laffont (1986) studies principal-agent models with hard evidence. Evidence is modeled by assuming that the message set of the agent is type dependent. In this setup, Glazer and Rubinstein (2004, 2006) and Sher (2011) show that when the agent's utility function is type independent there is no advantage for the principal in having commitment power. This paper shows that this way of modeling evidence implicitly assumes it to be perfectly accurate and that the result that commitment power has no value is not robust to making the evidence imperfect.
"The Importance of Commitment Power in Games with Imperfect Evidence."
American Economic Journal: Microeconomics,
Game Theory and Bargaining Theory: General
Asymmetric and Private Information; Mechanism Design