Game Theory Musing

Suppose you and an opponent each have an equal and large amount of resources. You will each secretly allocate those resources to three contests. For each contest, whoever allocates more resources wins. If each of you allocate the same amount to a contest, a fair coin is flipped to determine that contest. Your object is to win at least two of the three contests. Your opponent is a geek who will sacrifice any chance of guessing your psychology so that it is impossible for you to guess theirs.

How should you allocate your resources?