Berge's Maximum Theorem is a concept in mathematical optimization that deals with the behavior of maximum values in certain types of functions. Specifically, it states that if a function depends continuously on its parameters, then the maximum value of that function will also change continuously as the parameters vary. This is important in fields like economics and game theory, where optimal solutions are often sought. The theorem is named after the mathematician Claude Berge, who contributed significantly to the study of optimization and game theory. It provides a foundation for understanding how changes in conditions can affect optimal outcomes, making it a valuable tool for researchers and practitioners in various disciplines.