  This paper expands on the concepts presented in Applying the Nash Bargaining
Solution for a Reasonable Royalty ( arXiv:2005.10158 ). The goal is to refine
the process for determining a reasonable royalty using statistical methods in
cases where there is risk and uncertainty regarding each party's disagreement
payoffs (opportunity costs) in the Nash Bargaining Solution (NBS). This paper
uses a Bayes Cost approach to analyze Case 1, Case 2, and the Original Nash
model from the authors' previous work. By addressing risk and uncertainty in
the NBS, the NBS emerges as a more reliable method for estimating a reasonable
royalty, aligning with the criteria outlined in Georgia Pacific factor fifteen.
