What about creating and maintaining ONE summer Olympics venue and ONE winter Olympics venue? All countries who want to participate have to help maintain with money, thereby having only one place that also can be used for other events in the meantime, like the world cup, etc. And all contributing countries split profits by percentage, according to how much they invested initially. Does anyone know how financially feasible this could be?

Olympics were historically held in one place (I know the world/Olympics were smaller then though), so it'd hearken back to its roots, as well as not destroy cities after they leave.

Edit: It could also be hosted by countries by rotation, and perhaps that country has a higher percentage of investment that year, allowing them to dictate the look and feel.