| Abstract: |
| Equilibrium is a central concept in numerous disciplines including
economics, management science, operations research, and
engineering. We are concerned with an evolutionary
quasivariational inequality which is connected discrete dynamic
competitive economic equilibrium problem in terms of maximization
of utility functions and of excess demand functions. We study the
discrete equilibrium problem by means of a discrete time-dependent
quasivariational inequality in the discrete space
$\ell^2([0,T]_{\mathbb{Z}},\mathbb{R})$. We ensure an existence
result of discrete time-dependent equilibrium solutions. Finally,
We show the stability of equilibrium in a completely decentralized
Walrasian general equilibrium economy in which prices are fully
controlled by economic agents, with production and trade occurring
out of equilibrium. |
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