Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The present note extends Debreu's equilibrium existence theorem for a generalized game in the context of finite-dimensional strategy spaces, by akening the upper Semicontinuity and closed-valuedness assumption on the feasible strategy multifunctions. This is made by establishing an inequality of Ky Fan's type, whose proof is based on a selection theorem by E. Michael. An extension to generalized games with unbounded strategy spaces is also presented.
['Paolo Cubiotti']
I am writing a research paper on a idea Existence of Nash equilibria for generalized games without upper semicontinuity
[{"from": "human", "value": "I am writing a research paper on a idea Existence of Nash equilibria for generalized games without upper semicontinuity"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The present note extends Debreu's equilibrium existence theorem for a generalized game in the context of finite-dimensional strategy spaces, by akening the upper Semicontinuity and closed-valuedness assumption on the feasible strategy multifunctions. This is made by establishing an inequality of Ky Fan's type, whose proof is based on a selection theorem by E. Michael. An extension to generalized games with unbounded strategy spaces is also presented."}]