Mehdi Memarpour - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Ashkan Hafezalkotob - College of Industrial engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran
Mohammad Khalilzadeh - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Abbas Saghaei - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Roya Soltani - Department of Industrial Engineering, KHATAM University, Tehran, Iran

This paper studies the monetary policies of the central bank to determine the inter-est rate on deposits in the interaction with the Iranian banking system in the form of Stackelberg and Nash equilibrium games. The leader of the game is the central bank of the Islamic Republic of Iran, while the followers of the game include three banks called A, B, and C. The leader of the game regulates its monetary policies based on the relationship between inflation rate and interest rate on depos-its in the form of three scenarios of "legal deposit ratio", "legal deposit award rate", and "the rate of commissions received" from the followers. The follower players also determine "the interest rate on deposits," based on the scenarios of the leader player. The results of this research (۲۰۱۰-۲۰۱۹) by MINITAB Soft-ware indicated that in the studied year (۲۰۱۹), the strategy of the players of this game has been mostly Nash (more competitive) rather than cooperative. If the players of this game had chosen cooperative strategy (Stackelberg game), they would have achieved greater profit. Also, the optimal tool for the monetary policy of the leader and follower players has been the “increasing the legal reserve re-ward rate".

Stackelberg game, Nash game, Monetary Policies, interest rate on deposits, Iranian banking system ARIMA time series