A quasi-variational approach to a competitive economic equilibrium problem without strong monotonicity assumption

作者：Anello G^*; Donato M B; Milasi M

来源：Journal of Global Optimization, 2010, 48(2): 279-287.

DOI：10.1007/s10898-009-9492-1

• Walrasian competitive equilibrium
• Quasi-variational inequality

This paper is focused on the investigation of the Walrasian economic equilibrium problem involving utility functions. The equilibrium problem is here reformulated by means of a quasi-variational inequality problem. Our goal is to give an existence result without assuming strong monotonicity conditions. To this end, we make use of a perturbation procedure. In particular, we will consider suitable perturbed utility functions whose gradient satisfies a strong monotonicity condition and whose associated equilibrium problem admits a solution. Then, we will prove that the limit solution solves the unperturbed problem. We stress out that our result allows us to consider a wide class of utility functions in which the Walrasian equilibrium problem may be solved.

• 出版日期2010-10