Alright, well looking at the game, I'm a little sorry that it has been drawn, because regardless of outcome, I'm sure it would have been intensely interesting to play to the end. Diplomatic chaos is intimidating, but it's truly the most interesting.
It's ridiculous to try to predict what would have happened had you not drawn, because the situation was far too complex to predict. I think that a solo win would be just as likely as a stalemate, in fact, I think it would be more likely. Obviously, the crux is that it's quite impossible to see who would take that solo win. I understand the reasons for the draw, but I still dislike the soft draw and would have preferred play to continue toward a solo win or a hard draw.
If we're playing very prudently, and for point profit only, rough mathematical expectations should be used... For example, in the simplest measures, the draw gave each player 1/4th of the pot, and a decision to continue on the solo win would require an individual player to believe they had at least a 1 in 4 chance at the full pot. In these simplest measures, if all players were equal in probability to win at one point, they should probably keep on playing, just as they would at the very start. Though at the start the probability is not quite equal... though that see Italy asking for a draw right off the bat. If there were any inequality in the player's chance to win, the one's with a higher chance should continue to play and gamble at a shot at the whole pot, with a higher mathematical expectation. So, in all cases, the game should continue until it can no longer continue (hard draw) or someone has won.
Of course, that was incredibly simplistic, and doesn't account the possibility of merely improving from a 4-way draw to a 3 or 2 way draw. But let's try extending this logic a little. Let's say the players decide they want to try to get a larger share of the pot by eliminating one player and getting a 3-way draw. If all players had an equal chance of being eliminated and being part of the draw, then they each have a 3/4 chance at 1/3 of the pot. This comes out to a mathematical expectation of 1/4, the same expectation for the 4-way draw. So if all is equal, there is no reason to necessarily end the game there, though no real reason to continue on either. However, far more likely, is that there is an imbalance between who would likely survive for the three-way draw, and who would not. In this case, the people more likely to survive would have a higher mathematical expectation from the pot if they continued to play, so they should.
I think it can be demonstrated in most cases that for any soft draw, that there is at least one player who has forfeited a superior mathematical expectation, though they may think they are slowly profiting, they are not playing the odds.