Based on the background of the banking industry in China, this paper establishes Cournot, Bertrand and Stackelberg mixed oligopoly competition models with deposit and interest rates as strategic variables between a representative state-owned bank and a representative foreign bank. We discuss and compare the equilibrium deposits, interest rates and profits in different market structures. More importantly, considering the endogenous timing setup and taking the extended game with observable delay as the basic model, we analyze the competition results of the mixed duopoly at different market structures and make numerical simulations in order to get the outcomes of the extended game. It is found that, in the deposit competition with endogenous timing, if two banks have the same deposit return rate, the simultaneous move could become the final result; If the deposit return of the foreign bank is more than twice that of the state-owned bank, all SPNEs of the extended game are sequential, i.e one bank will lead, the other will follow. If the state-owned bank’s profit in Cournot is larger than that of the state-owned bank as the Stackelberg follower, the only SPNE will be (E, L), i.e. the state-owned bank will lead and the foreign bank will follow. Additionally, in the interest rate competition with endogenous timing, if the degree of nationalization is no larger than 75% as well as two banks have the same deposit return rate, the final SPNEs of the extended game are sequential and the simultaneous move can not become the SPNE.

Based on the background of the banking industry in China, this paper establishes Cournot, Bertrand and Stackelberg mixed oligopoly competition models with deposit and interest rates as strategic variables between a representative state-owned bank and a representative foreign bank. We discuss and compare the equilibrium deposits, interest rates and profits in different market structures. More importantly, considering the endogenous timing setup and taking the extended game with observable delay as the basic model, we analyze the competition results of the mixed duopoly at different market structures and make numerical simulations in order to get the outcomes of the extended game. It is found that, under the scenario of endogenous timing, and 1) the assumption that the foreign bank’s deposit return rate is more than twice that of the state-owned bank and 2) the degree of nationalization of state-owned bank is no less that 1/4, the SPNE of deposit extended game is (L, L), i.e. both banks will choose to move later, neither player has so called “first mover advantage” which leads to the Cournot outcome and payoffs. When the degree of privatization is more than 3/4 and both banks have the same deposit return rate, the SPNE of interest rate extended game is (E, L), i.e. the state-owned bank will lead and the foreign bank will follow.