Not so hairy afterall. What you want to maximize is this:
(1 + (w_1,1)(R_1,1,1))*(1 + (w_1,1)(R_1,1,2))*...*(1 + (w_S,T)(R_S,T,V))
where
S is the number of strategies (any positive integer) ,
T is the number of instruments (any positive integer) ,
V is the number of trades per...