Sure. Details will depend on assumptions made.
I assumed a normal distribution of independent scores . Since the sum of normal variables is a normal, each player over 3 days has a normal mean score of 3*A and variance of 3*V, where A and V are his average and variance for one round. This assumes score independence within a player (day to day) and between players, which may not be true.
The following link addresses this problem of a winner among n players.
http://www.untruth.org/~josh/math/normal-min.pdf
It suggests simulation but gives the analytic method also. I programmed a simulation in Excel VBA. Took about 25 lines. I bet in a program like R it can be done in one or two lines after data are entered or read in.