Quasivariational inequalities for dynamic competitive economic equilibrium problems in discrete time

Equilibrium is a central concept in numerous disciplines including economics, man3 agement science, operations research, and engineering. We are concerned with an 1 4 evolutionary quasivariational inequality which is connected to discrete dynamic com5 petitive economic equilibrium problem in terms of maximization of utility functions 6 and of excess demand functions. We study the discrete equilibrium problem by 7 means of a discrete time-dependent quasivariational inequality in the discrete space  2([0, T ]8 Z,R). We ensure an existence result of discrete time-dependent equilibrium 9 solutions. Finally, we show the stability of equilibrium in a completely decentral10 ized Walrasian general equilibrium economy in which prices are fully controlled by 11 economic agents, with production and trade occurring out of equilibrium.