Daniel Moskovich asked:
Is there a mathematically/statistically proven way for me to take advantage of this state of affairs to maximize my own winning chances?
I think not.
Generally, one should always play the actual position one faces on the board: you do not know in advance what your opponent intends to open with.
You suspect your opponent must play for a win so will take risks suggesting a gambit opening and aggresive tactical play.
One strategy could be to pass the fight to Black with a noncommital move like 1.Nf3 or even 1.b3.
Some of the Catalan systems played by Kramnik are worth a look at.
Maybe even be really provocative and try 1.a3 or 1.h3 the strategy being to then mimic as far as possible Black's moves ie in effect making Black play against him/her self.
Although you are White you are then in effect playing as Black but with an extra move in hand.
At the very least your opponent will be discombobulated and any prepared lines they have ready for you will be redundant.
Also, this strategy may gain you time on the clock!