They're probably using highly restrictive zoning/permitting to keep it out. Local businesses that are charging tourist prices don't want big box stores (who can't get away with a very big local markup) to compete with and local consumer facing businesses hold basically all the influence in that kind of economy.
There is only 185k people living on the "big island". I'm not sure why people would expect something other than a rural America level of services, when it is really just a small city of people effectively in the middle of no where.
Note that smaller cities in rural America service a much larger population than just the city itself. The island does not have a surrounding population that can drive an hour in once a week to make use of a big box stores.
Google maps says there is a Walmart, Kmart, Sears and a number of other well known American brands. It's not like they are being blocked from entering the market.
I wasn't talking about rural cities. I think those are generally pretty good and pretty well run. I was talking about how it works in the tourist dumps. Protecting your "authentic" <place> branded Chinese trinket importers from the big boxes is SOP in a tourist economy.
I think you misunderstood me. Your comment was in response to:
> I was actually very surprised how sparse the retail was. Felt very much like rural America.
You then went on to argue that retail is not more developed because existing retailers are conspiring to keep the bigger retailers out.
I am arguing that there need not be a conspiracy. The real reason is more likely that it is not economical for a lot of big box retailers to serve such a small population.
I was also responding to the great grandparent's comment. They should not be surprised at a rural America level of retail on the big island of Hawaii, as it is pretty much rural America, what with low population density and isolated location.