Idea management is a system that helps to generate, develop, and implement ideas. Organizations usually use idea management systems to supplement their innovation management processes. Idea management takes place at the forefront of innovation management. One of the stages of the idea management process is the acceptance and rejection of ideas. Idea generators (e.g., employees of Company X) and idea acceptors (e.g., managers of Company X) can be seen as two players with potentially different opinions. The payoffs of these players are uncertain, so the decision to accept or reject an idea can be made in various ways. In this article, we outline a possible solution using bimatrix games or extensive form games.