Hold on. The log says that you had 5 Bridges in your deck. Your draw during turn 14's cleanup phase shows that you don't reshuffle and that you draw your last Bridge. So it was definitely somewhere in your draw pile.
I don't know if Goko displays cards in the order in which they are drawn. Assuming they are, your Watchtower would have not drawn the Silver. The next WM play will draw the Silver, reveal a Bridge and a WM, and discard a Copper. Here you would play your Minion for discard, drawing Bridge, WM, Copper, and WM. Play WM, drawing Minion and revealing Bridge, Copper, Copper. Play WM again to draw the 4th Bridge.
So then you'd have 4 buys on free WMs plus another buy for a Province.
On your final turn, I think you should have played your Watchtower before playing your Minion, then saved your Minion for when you had no more Actions in hand to play so that you could find your last Bridge.
Just sidetracking for a bit here, but still relevant: Has anyone ever tried a drafting system (every player picks X cards) and did it lead to too many similar games or more varied games?
What I've done in the past is give every player a few random cards and let them pick which one to play with.
So for instance with 3 players I would give each player 6 random cards and let them pick 3. That gives us 9 kingdom cards and the tenth could be random.
It's a pretty fun mechanism. You could pick your own 3-card combo and be surprised it works great or not so well with the cards the others have chosen. If I recall correctly, it didn't automatically always include the same cards. Maybe too many Villages, but oh well.
There are other ways to draft, but in essence I find that it works decently enough.
Unless there is some interaction over tables that I don't see.
2. While your point is possible, in such a case, the person who realized that their opponent is about to go off and decides to buy a province and lose 54-9 instead will be rewarded, relative to people with equal luck.
That rewards suboptimal playing-for-second-place decks. A Big Money deck will always get a province or two before the engine takes off and buys the rest. Doesn't mean the BM deck was closer to winning than the engine deck which had zero points because it was building up to the mega-turn that the opponent got to first.
In a lot of games, the relevant measure is "winning by X turns" - not "winning by X points". If I'm one turn away from having my deck fire and buy everything when my opponent's deck fires and buys everything, that's a really close, really well-played game - we differed by only one turn, but that one-turn difference could be an arbitrarily number of points, anywhere from one point difference to MEGA-GOONS-TURN, where that point difference means little to nothing. Whereas in a deck where a BM+X strategy competes against a mega-turn engine, the BM+X will get a few provinces, making the score look close even if the engine was the optimal strategy by far.
Here's another example - Ambassador games! Whoever wins the ambassador war probably gives their opponent all 10 curses by the end of the game. Doesn't matter whether it was close or not close, whoever wins will give out all 10.
Oh, here's a BM+X example - duchy-dancing! I could buy the last province and lose by a point. OR, I could buy a duchy, with one province remaining, since that gives me a chance to win if on the next turn, my opponent buys an estate and I have a chance to grab the last province. The latter SHOULD be clearly the right play, since it gives you a chance to pull out a win. And yet, buying the province is likely to lead to "lose by 1", while playing to win is likely to have you lose by 10 (if the opponent buys the last province on the next turn). Rewards people who end the game with a loss as long as it's a loss by not very many points, rather than rewarding people that play for the chance to win.
...just don't do it. Points in Dominion are NOT a valid indicator of quality of play; while they may seem to be such at first glance, it's not actually true.
Neither, really, are win/loss in a lot of cases either (see the "who happens to draw the KC/Bridge combo first in an otherwise mirrored match"), but we use that. At least with this method you're more fundamentally comparing apples to apples. I don't deny that it creates a somewhat different "winning" heuristic, I just deny that that's an inherently bad thing.
http://dominion.isotropic.org/gamelog/201206/22/game-20120622-043301-4fb54d55.html
Final turn saw me with a VP lead, 11 buys and 23 money but the cheapest stack to buy out costing 27 in total. Until a flash of inspiration hit me. I feel pretty good about this one given his Pirate ship hit my Gold on turn 7.
Couldn't you have bought 8 estates for $16?
