As the Twin Cities supermarket battle heats up, who is No. 1? With cash in hand due to the pandemic, the competition between companies heats up in the metro. May 8, 2021 — 8:34am Text size Copy shortlink: The pandemic not only increased grocery profits as restrictions forced people to eat at home, it also intensified an already competitive market in the Twin Cities. It's difficult to tell which supermarket chain takes the top spot in the market. Cub says it is at the top of a Nielsen market survey. Target edged out Cub, according to Chain Store Guide, which measures market share in a different way.