On a dynamical system which simulates price forming when there exists deficit of the commodity

A dynamical system which is a modification of the price forming model of Walras type for the case of commodity deficit is under consideration. This system has a continuum of equilibrium points (or equilibrium prices). We investigate where the price tends to move when an equilibrium price is disturbed by impulses of small time length. For a particular case of the supply function it is shown analytically that this tendency depends on how steep the supply curve is. For other examples of supply functions the same result is obtained numerically.