voting entity reference field
It's hard to recommend something without more specifics. How are you imagining the way people can vote? Are they voting for their favorite player for that game, and can only vote for one player per game? Do they give "thumbs-up" to as many players as they want? Do they assign X out of 5 stars to a player?

The Fivestar module is very popular, and has pretty good documentation.

The Rate module is also popular, has a lot of different ways of voting, and there is a YouTube video showing how to use it.