Functional model for zero-sum game and its matrix solution concerning uncertain information

A novel matrix solution is developed for the zero-sum game concerning uncertain information. Specifically, a new functional model for the game with grey information is introduced, which contains uncertain variables because of information shortage. Additionally, the matrix solution is designed for the functional model in which the players´ optimal probabilities of mixed strategies and optimal profits can be obtained by the matrix operation. Finally, the case of mobile phone market development is conducted to verify the effectiveness of the above method.