The number of research papers focusing on applications of game theory, as well as applications on Neutrosophic, has increased significantly in recent years. These applications may fall into different fields such as: economics, politics, social sciences, and others. This paper presents some of the work that has been done on these two topics, starting with a background in game theory, followed by moving on to the concept of fuzzy sets and neutrosophic sets, and then bringing us to some research papers with different applications in these two topics. The final part of the paper uses the two major scientific databases (Web of Science and Scopus) to analyze the work by topic, country, years, etc. The analysis shows that there is a significant gap in the research conducted in the field of game theory with neutrosophic application.