基于Bertrand模型的商业银行贷款竞争稳定性研究

Research on Competitive Stability of Commercial Bank Loans Based on Bertrand Model

Bertrand模型适合研究两个企业之间基于价格的竞争行为,当两家银行争夺客户时的竞争很大程度上表现为贷款利率的竞争,同时银行之间的竞争具有非线性特点.基于此,以Bertrand模型为基础,建立了银行间的贷款利率竞争的动态博弈模型.运用局部分岔理论探讨了参数对稳定性的影响,并对银行间的贷款竞争行为进行数值模拟,考察了其竞争行为对银行贷款市场稳定性的影响.结果表明,银行间基于贷款利率的过度竞争会导致银行贷款市场的不稳定.

Bertrand model is suitable for studying the price-based competition between two enterprises.When two banks compete for customers,the competition is largely manifested by the competition of loan interest rates.At the same time,the competition between banks is non-linear.Based on Bertrand model,a dynamic game model for the competition of loan interest rates between banks is established in this paper.The influence of parameters on stability is discussed by the local bifurcation theory,and the competition behavior between banks is numerically simulated.The effect of competition behavior on the stability of bank loan market is investigated.It is proved that excessive competition based on loan interest rate between banks will lead to instability of bank loan market.