Opening strategy is actually an equalizer for weaker players in chess, I think. If you are going up a good player with 10,000 hours of experience evenly divided between the most common opening, the second most common opening, and all the various other, weaker openings, then a player with 3,000 hours of experience can select one of those assorted, weak opening, and actually have some knowledge about that subset of games that the stronger player doesn't have. (He might have 1200 hours of experience>800 hours of experience, perhaps, where with the strong traditional opening he has no shot).
That said, at the really really low levels of play, where it's like, "I'm kinda sorta a lazy chess player that doesn't want to memorize my openings because I'm playing for fun", then yeah there's that gap where the guy that bothered to memorize correct opening answers has a big advantage. But you can equalize that disadvantage with the amount of effort it takes to cram for a midterm, at the most. The tactics and strategy and chess-related processing power are going to be your disadvantages.
I got sidetracked, but, I just wanted to post to point out that this is a fork, and someone made an "in response to OP" post that made me want to assure people that that I do not think my first post is adequate for starting a new thread, in general.
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Re: Dominion versus Chess:
Chess is a lot "broader" if you use variant rules like Fischer random (randomly rearranging the positions of the pieces behind the pawns at the start) or play faerie chess (various chesslike games where the pieces move in different ways). If broadness was really the issue I think faerie chess would be more popular. If you combined faerie chess and fischer random and had games with a king and a random set of pieces with random different powers each game, you'd have something a lot like Dominion in terms of various possible initial conditions, and I guarantee you the reason that isn't being sold in boxes on the shelf in board game stores isn't because no one thought of that.
The huge fun factor advantage Dominion has over chess and to slightly lesser extent Go is the lack of brute force analysis. Both Go and Chess require players to count "if I go here, and he goes there, then I go here" out hundreds if not thousands of times each game, or face a marked disadvantage for not doing so. The difference between a good player and a bad player at chess is selecting which of these chains to analyze, and identifying whether a possible position at the end of a chain is a "good" position or a "bad" position. (If I double my pawns but develop my bishop is it worth it? etc)