What's the name for the sorting algorithm or process where you proceed through the list, once, compare each value to the proceeding value, and if it's ever lower than the proceeding value, drop it from the data set entirely? It's a method I understand can be lauded for being extremely efficient, with the data guaranteed to be sorted into correct order after only one parse and with only the data itself as a dataset.

I'm thinking about it as the core to a trick card game.