Dominion is a great example of this. For most games (depending on which cards are played there may be differing victory conditions) the way you win the game is by obtaining Province cards and adding them to your deck. These are worth a lot of points, but have no actual utility in the game (where most of the cards you are adding to your deck let you do things like draw more cards or gain resources). So as you get closer to winning, the composition of your deck becomes worse and worse, and you become less and less likely to be able to purchase more Provinces.