I have a game.
Given an $ 8 × 8 $ square and a set, which contains the pentominoes and four $ 1 × 1 $ squares. Players alternately pick one item from the set. Then players (starting with the player who had chosen the first item) take turns in placing pentominoes on the board so that they do not overlap with existing tiles and no tile is used more than once. The objective is to be the last player to place a tile on the board.
So I need a great strategy. I am sure there doesn’t exist a winning strategy (and if so, then it is complicated), so I only need a strategy which helps to win.