Abstract
For a highly beneficial mutant A entering a randomly reproducing population of constant size, we study the situation when a second beneficial mutant B arises before A has fixed. If the selection coefficient of B is greater than the selection coefficient of A, and if A and B can recombine at some rate ρ, there is a chance that the double beneficial mutant AB forms and eventually fixes. We give a convergence result for the fixation probability of AB and its fixation time for large selection coefficients.
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