Quasivariational Inequalities for a Dynamic Competitive Economic Equilibrium Problem

Quasivariational Inequalities for a Dynamic Competitive Economic Equilibrium Problem

The aim of this paper is to consider a dynamic competitive economic equilibrium problem in terms of maximization of utility functions and of excess demand functions. This equilibrium problem is studied by means of a time-dependent quasivariational inequality which is set in the Lebesgue space L2 0, T ,R . This approach allows us to obtain an existence result of timedependent equilibrium solutions.

Existence for Competitive Equilibrium by Means of Generalized Quasivariational Inequalities

and Applied Analysis 3 3. Equilibrium Model We consider a marketplace consisting of two types of agents: n consumers, indexed by a, and m producers, indexed by b. We denote with A = {1, . . . , n}, B = {1, . . . , m}, and J = {1, . . . , l}, respectively, sets of consumers, producers, and goods. We denote by e a and x a the nonnegative quantities of commodity j, respectively, owned and consumed...

Variational Inequalities and Economic Equilibrium

The existence of an equilibrium in an extended Walrasian economic model of exchange is confirmed constructively, under broad assumptions, by an iterative process. In this process, truncated variational inequality problems are solved in which the agents’ budget constraints are furnished with a penalty representation. Epi-convergence arguments are used to show that, in the limit, an equilibrium o...

Extended Well-posedness for Quasivariational Inequalities

In this paper, we introduce the concepts of extended well-posedness for quasivariational inequalities and establish some characterizations. We show that the extended well-posedness is equivalent to the existence and uniqueness of solutions under suitable conditions. In addition, the corresponding concepts of extended well-posedness in the generalized sense are introduced and investigated for qu...

Existence Results for General Mixed Quasivariational Inequalities