Here in LA, we have at least a handful of farmers' markets every day of the week in different areas. However, we don't have a true public market (the permanent Farmers' Market at 3rd and Beverly is the closest thing we have). I was first introduced public markets when I worked in Seattle, with the Pike's Place Market, and then more recently, I got to visit the fairly new Milwaukee Public Market on a trip to the Midwest, as well as the market in the Ferry Building in San Francisco. It sounds like Chicago is entertaining the possibility of opening a permanent, year-round public market for its population of 3 million people and additional 5 people in adjacent counties.
Other cities besides Seattle and San Francisco that have public markets have had them for a long time. Boston has the Quincy Market, Baltimore has the Hollins Market, Cincinnati has the Findlay Market, and Philadelphia has Reading Terminal Market .
Chicago should do it!