Abstract
This paper proves the equilibrium existence for abstract economies with non-compact infinite- dimensional strategy spaces, infinitely many agents, and discontinuous payoff (utility) functions by using the quasi-variational inequality approach. The motivations come from economic applications showing that payoff functions are discontinuous in many cases and the set of feasible allocations generally is not compact in a given topology of the commodity space, a typical situation in infinite dimensional vector space. It will be noted that our results also extend a foundational quasi-variational inequality by relaxing the compactness and concavity conditions. Thus many existence theorems in the quasi-variational inequalities literature can also be generalized by our results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
