Having played a lot of lower-stakes NLHE this year and last, I think that I have a very good idea of the average mindset and game of players at NL50. One of the areas that I used to spot was in bet sizing. Often I would see players make double the big blind type raises. Usually these are raises with non premium hands.
What this raise suggests is that the player in question is trying to do one of several things. Either they are trying to build a pot with a decent but quite speculative hand or they are trying to prevent a raise behind them with a hand that they would like to see a flop with. As long as you do not overdo the play and you have the right situation then you can punish this play quite easily.
Let us say that you are in the big blind with 8h-5c and it has been folded around to the button in NL50 who raises to $1.00 and the small blind folds. While it is true that this player could be trying to induce action with a premium hand, the probability dictates otherwise. In all likelihood they are trying to either win the pot for the minimum amount possible or they are trying to fold out the small blind so that they can get position on you if you call.
As long as you do not overdo the play and pick your spots then you can re-raise here. But you do need to do this with information for one very important reason. When your opponent raises to $1.00 then there is only $1.75 in the pot. So a pot sized raise by you will be to $2.75 so you are risking $2.75 to win $1.75. This means that you need to pick and choose your targets well and ideally it should be someone who has a history of minimum betting from position and not someone who you have only seen do this once.
Because of the pot size and your pot sized raise then you will need to hit a good ratio of pots won when you make this play but you will do so if you are selective with it. What you don’t want to happen is to re-raise the wrong player and then escalate a pot out of position with a weak hand against a player who will either call the three bet or four bet you.