Schema showing investment flow into male non-reproductive, pre- and post-ejaculatory expenditures, emphasizing sperm competition expenditures (within box with dotted outline); see text. Call these male expenditures (arrowheads) , etc. If gain through each investment i follows monotonic diminishing returns, the ideal optimal overall strategy equalizes all marginal gains, i.e. , etc. Hence change in any one expenditure affects expenditure in all others, though the magnitudes of changes depend on the different forms of the curves. Note that is the average expenditure in trait i, which may vary with local information (e.g. sperm number). SFPs, seminal fluid proteins.