If I see a Bid at 181.77 and and Ask at 181.78 for SPY and then immediately see a trade filled at 181.77 on BATS, then what can we conclude about market making activity? i.e At what price did the market maker buy from the seller and at what price did he sell to the buyer?
I thought since MM takes the other side of each trade, he bought at 181.78 and sold at 181.77 but obviously this is false since he is at a loss here.