Criteria weighting is a crucial step in the entire decision-making process. Determining the appropriate weights will lead to more reliable results. This study aims to use a coalitional game method for calculating proper criteria weights in multi-criteria decision-making (MCDM). In this paper, the Shapley value method is used to determine the weight of criteria. A numerical case study of 65 banks has been used to explain the efficiency of the proposed method. To this end, using the TOPSIS technique, the alternatives are ranked once in Shapley value and again in the Shannon entropy weighted matrix. Then the results are obtained applying Spearman rank correlation coefficient are compared to efficiency-based ranking using data envelopment analysis (DEA) as a powerful benchmarking method. In the proposed method, unlike many conventional weighting methods, the selection of criteria weights is made in a coalitional game with the participation of all criteria; the obtained weights are both intuitively and objectively fairer, and more reliable rankings are provided. According to the logical and fair calculation of weights, having a simple and understandable mathematical method, and no need for experts’ judgment, the proposed method can be used in real problems. Especially where realistic ranking has a significant impact on the equitable allocation and absorption of resources. تفاصيل المقالة

The most important policymaker entity in the bank-centered economy of Iran is central bank of Islamic Republic of Iran which has always been trying to manage and improve macroeconomic indicators by applying monetary policies. However, investigation of Iran's economy after four decades shows that this country has always suffered from double-digit inflation rates and 15000-fold liquidity throughout this period, while GDP of Iran has grown only by two times during this period. This paper tries to evaluate the effect of monetary policies of central bank on macroeconomic indicators by analytical-descriptive and library method via combining system dynamics and fuzzy multi-criteria decision-making using Vensim and Super Decision software. Monetary policy instruments in this re-search include foreign exchange rate, deposits interest rate, facilities interest rate, required reserve ratio, and open market operations. Further, the macroeconomic indicators include inflation, liquidity, national foreign exchange value, and eco-nomic growth. The results indicated that the most important macroeconomic indi-cators in the country according to economic experts are "national foreign ex-change value" and "inflation". The most important tool for monetary policies of central bank is "foreign exchange rate". Indeed, in order to improve the economic misery index, this bank should take measures to improve the national foreign exchange value, then manage inflation and liquidity, and eventually adjust the banking interest rate تفاصيل المقالة

The present study is presented in order to determine the optimal investment portfolios between a bank and its customers, in the form of a two-level game by Stackelberg (leader-follower). The game is based on the Markowitz mean-variance model. Leader player portfolios (Bank 3) have included deposit portfolios in rival banks (Banks 1 and 2), investment in the real estate market, investment in the stock market and investment in the foreign exchange market. Also follower player portfolios (Bank 3 customers), including deposits in rival Banks(1,2), investment in the coin and gold market, investment in the foreign exchange market, investment in the housing and real estate market, investment in the car market, investment in the stock market. The data related to the mentioned assets covered 2009-2017, where the optimal investment portfolios of the players was first determined using GAMS software. Next, the problem was solved again using the meta-heuristic algorithm of Firefly in Matlab Software. Eventually, the optimal technique was chosen. Finally, the results of the study showed that the optimal investment portfolios for the leader player include investing in the real estate market and investing in the stock market, respectively. Also, the optimal investment portfolios of the following player include depositing in Bank 2, investing in the coin and gold market, investing in the stock market and investing in the real estate market, respectively. تفاصيل المقالة

In this paper, the optimal interest rate on bank deposits is calculated according to monetary policy in the Iranian banking system. The interest rate on deposits is determined using the game theory and a Stackelberg game approach. The game leader is the Central Bank of the Islamic Republic of Iran, while the followers include three banks called A, B, and C. The leader of the game regulates its monetary policies in the form of three scenarios and the variables of "legal deposit award rate", "legal deposit ratio", and "rate of bank commission received" from the followers (the banking system). The follower players also determine the "interest rate on deposits" based on the strategy of the leader player. The overall results of this study indicated that in this Stackelberg game, the optimal scenario of the central bank involves "reducing the rate of commissions received" from the banking system and "increasing the legal deposit award rate" under conditions where the coefficient of the importance of the components of the utility function (social welfare) of this bank and the coefficient for facilities paid by this bank to the government, companies, banks, and governmental institutes are complete ( equalling to one), and that the scenario of changing the percentage (ratio) of the legal deposit is not optimal. Meanwhile, the optimal scenario of the follower players was reducing the interest rate on deposits in 2016. Also, the players of this game will be more profitable than their current situation if they choose Stackelberg's game. تفاصيل المقالة