The paper titled “Extended matrix norm method: Applications to Bimatrix Games and Convergence Results” led by ITU Mathematics Engineering faculty member Assoc. Prof. Dr. Burhaneddin İzgi was published in Applied Mathematics and Computation.

In this study, they extend and apply the Matrix Norm (MN) approach to the nonzero-sum bimatrix games. They present preliminary results regarding the convergence of the MN approaches. They provide a notation for expressing nonzero-sum bimatrix games in terms of two matrix games using the idea of separation of a bimatrix game into two different matrix games. Moreover, they prove theorems regarding boundaries of the game value depending on only norms of the payoff matrix for each player of the nonzero-sum bimatrix game.

https://www.sciencedirect.com/science/article/abs/pii/S0096300322006270