Color intensity
Keep the brightest pieces for offense. Use them when they can affect the largest number of your opponent's pieces. Try for the largest differences, such as red on yellow; or bright blue on green. Placing a very bright color on a tile that affects no other tile is wasteful. Instead, use tiles in areas that will always have an effect on your opponent's pieces. The player who places the tile receives the advantage of it affecting the surrounding ones. This will change the colors of your opponent's pieces and thus lower their score.
Layout
The pieces you receive in each level varies. When you start a level, examine the layout and pieces available to determine the best locations to place your tiles, as well as when they should be played and which type to use. For example, it may be advantageous to save the brighter tiles for later in order to to maximize their effect. When looking at your opponent's tiles, take into account the color, intensity, and the arrows that they have. Develop a strategy that will result in you getting the most out of the tiles that you place, as well as minimizing the effect of your opponent's tiles. The best way to win a match is by using an offense strategy. Begin by placing the tile that has its most arrows in the best position. Follow up by remaining on the offensive and attacking the pieces placed by your opponent. Force them to play defensively.