No abstract

This paper studies, investment portfolio of two players in the banking system in a two-level game, and eventually determines the optimal portfolios of investors using the Markowitz model. This twolevel game includes bank C as the leader of the game and customers of this bank as the game followers. The investment portfolios of the leader player include investment in competitor banks (A and B), foreign exchange market, real estate market, and stock. The data related to the mentioned assets covered 2010-2020, where the optimal investment portfolios of the players was first determined using GAMS and genetic meta-heuristic algorithm. Next, the problem was solved again using the meta-heuristic algorithms of PSO and IWO. Eventually, the optimal algorithm was chosen using TOPSIS multi-criteria decision-making. The results of 3 algorithms indicated that the optimal portfolio for the leader player consisted of investment in properties, securities, and competitor banks respectively.