Both of these as noted above are steels that will rust very readily. As to which one will go first, in alloy steels it seems to be my experience that higher levels of Carbon seems to make steels more prone to rusting. However it is difficult (impossible) to predict what a spread of changes in alloy composition make so I could have just been seeing that. However I have heard that general rule more than once.
But I have heard the opposite as well. You would for example think that based on the above that mild steel would not rust readily at all compared to 1095 due to the very low carbon content - but the exact opposite happens. Mild steel rusts fairly quickly. Again though even pure carbon steels like 1095 have trace alloy elements in them.
In short, I don't know which would fare better, but would bet on 1050 (but not very much) and neither will hold out well against corrosion.
-Cliff