A solution condition for complementarity problems: with an application to spatial price equilibrium

摘要

A sufficient condition is developed for the existence of solutions to complementarity problems, which is applicable to all continuous functions. In addition, it is shown to imply a number of simpler conditions, including the well-known coerciveness condition. Finally, this condition is applied to an existence problem in spatial price equilibrium, where it is shown to yield not only a more general result, but also a simpler method of proof.