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The Chinese house price was raised rapid and sustain, some scholars thought that the reason is the nonelasticity demand, it is said that the action of collusion of the firms is the maximum of profit. To test if the reason of collusion of housing firms in China was they faced to a nonelasticity demand, so the continuous dynamical system of duopoly Cournot game with constant elasticity demand is derived in our paper, and the stability of this system is studied, finnally the Cournot game with n-competitors is discussed. A general conclusion of existence of Nash-Cournot equilibrium was drew. The collusion of housing firms no came from the profits maximization with non-elasticity demand. The way of land supply which makes increasing marginal cost of house maybe the reason of collusion of housing supply. The conclusion of there are no solution to deal with the rapid and sustain raising of Chinese house price is wrong and Puu and Zhang made mistakes in their papers. Keywords-House price; Collusion; Cournot model; Inelasticity demand; Stability;

Could Non-elasticity Demand be Blamed for the Raising of House Price in China