Right or Left

In Right or Left (ライトオアレフト), you need to bluff and destroy bluffs in roughly equal measure in order to end up with more points than all of the other players. The game consists of two metal cups and forty wooden cubes, ten each in red, yellow, blue, and black. (In a two-player game, you use only five of each color.) When you're the active player, you take 4-7 cubes from the supply (based on the number of players) and show which cubes you've taken to the guesser, who then hides their eyes. You distribute the cubes as you wish between the two cups, with some cubes (including possibly none!) being hidden underneath each cup and at least one cube on top of a cup. The guesser then opens their eyes, sees (some of) what's being offered, then chooses one of the cups, either right or left, keeping everything on and underneath that cup, while you keep the cubes from the other cup. After two complete rounds in which each player has been the active player twice, you tally your score based on what you've collected. Some colors increase in value for each one you've collected, but then zero out if you've collected too many; other colors score little to nothing until you've collected a bunch of them. Who will end up with the highest scoring collection?