1. Victory 1. The player, having 12 x tokens, wins.
2. Victory 2. The player, having 15 y tokens, wins.
3. Victory 3. The player, having 20 z tokens, wins.

попробуйте еще

"The player who collected 12 x tokens wins."
или
"The player with 12 x tokens wins."
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"The coin star award is given to the player who collected the most coins overall during the game, the mini-game star award is awarded to the player who collected the most coins in mini-games, and the player who landed on the most "?" spaces earns the Happening Star."

http://en.wikipedia.org/wiki/Mario_Party_(video_game)

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"The player who collected the most prestige points wins."

http://boardgamegeek.com/boardgame/144344/rococo

но все это объяснимо, если задуматься. :))

Use 'The player' if only one player can collect/amass 12/15/20 tokens. Use 'A player' if more than one player can.

As it's explaining the general rules of a game, 'collects' should be in the present tense.

Use 'collects' if the player gets 12/15/20 tokens in one go; if he/she gets them gradually (builds them up), use 'accumulates' or 'amasses'.

Take out all six commas as Aiduza says, otherwise you'll have Runglish.

'Victory' is quite a powerful word to use if these are instructions for playing a board game. It's typically used in wars, elections and physical sports, and in situations (such as industrial disputes) which you're likening to a battle for dramatic effect -- but 'win' is more common with board games/card games. Don't ask me why.... Also I'm not sure exactly what you mean by Victory 1, 2 and 3.

However, to be sure that you're translating all of the above accurately, you need to show the Russian/original, as SirReal says.

http://english.stackexchange.com/q/77522/48335

http://english.stackexchange.com/q/42871/48335

http://ell.stackexchange.com/q/95691/2127

A/THE WINNER

The answers to this are quite complex as the differences between 'a winner' and 'the winner' in examples such as the one you quote, can be quite subtle.

You can say 'You're THE winner' if you want to specify that the person is the winner out of a GROUP of people who are playing, in a game which can only have one winner (whereas none of the other players in the group are the winner). In other words, the definite article is used to IDENTIFY the person in the group who has won.

'You're THE winner' is also used where 'You're the winner (on this occasion/this week/this month/etc)' is implied. So this would be used even if someone else won last week, and someone else the week before that, so that there were actually several 'winners' around.

'You're A winner' is used instead of 'You're THE winner' with games where the person is playing alone. This is because you can't identify someone as being 'THE winner' (out of a group of people) if they're the only person playing -- just as you wouldn't say 'You're the tallest' if they were the only person there; you'd say 'You're a tall person'.

'You're A winner' is also widely used as a set expression in advertising, particularly where some sort of quiz/competition is involved (such as your videogame example), to mean either 'You've won this game/competition', or just 'You've won (sth)', or even just 'You're in luck', to entice people to read the advert more closely. So here 'You're A winner' doesn't necessarily imply that you're one of SEVERAL winners, as it would do normally. I suspect this is how 'You're a winner' is being used in your example.

This is only a partial explanation and doesn't cover every situation, but I hope it helps.

I'll attempt 'wrong person' later!

A/THE WRONG MAN

This is much easier to explain. The reason we say 'You've chosen THE wrong person' rather than 'You've chosen A wrong person' (because, potentially, there could be lots of 'wrong' people) is, well.... there isn't a reason. It's simply an (illogical) set expression which has developed over time and, like lots of set expressions, doesn't make sense when you look at it closely. However, you have to say 'THE wrong person', because that's what everyone says, and 'A wrong person' definitely isn't English.

That's the sort of question I like -- easy to answer....

http://m.youtube.com/watch?v=LSk8JTCPyn8

Well, if Abba and Henry Fonda say it, that's good enough for me....

переводы типа "to win, one should collect", хотя и имеют право на существование, без контекста могут оказаться даже хуже, чем предложенное аскером (несмотря на более высокую общую грамотность формулировок).

Being able to see the rules is central.