Many cellular functions depend on highly specific intermolecular interactions, for example transcription factors and their DNA binding sites, microRNAs and their RNA binding sites, the interfaces between heterodimeric protein molecules, the stems in RNA molecules, and kinases and their response regulators in signaltransduction systems. Despite the need for complementarity between interacting partners, such pairwise systems seem to be capable of high levels of evolutionary divergence, even when subject to strong selection. Such behavior is a consequence of the diminishing advantages of increasing binding affinity between partners, the multiplicity of evolutionary pathways between selectively equivalent alternatives, and the stochastic nature of evolutionary processes. Because mutation pressure toward reduced affinity conflicts with selective pressure for greater interaction, situations can arise in which the expected distribution of the degree of matching between interacting partners is bimodal, even in the face of constant selection. Although biomolecules with larger numbers of interacting partners are subject to increased levels of evolutionary conservation, their more numerous partners need not converge on a single sequence motif or be increasingly constrained in more complex systems. These results suggest that most phylogenetic differences in the sequences of binding interfaces are not the result of adaptive fine tuning but a simple consequence of random genetic drift. cellular evolution | molecular interaction | transcription | random genetic drift | coevolution M uch of biology relies on the specificity of intermolecular interactions-the regulation of gene expression, the transmission of information via signal transduction, the assembly of monomeric subunits into multimers, vesicle sorting in eukaryotic cells, toxin-antitoxin systems in microbes, mating-type recognition, and many other cellular features. Although the basic structural features of such fitness-related traits would seem to be under strong purifying selection, molecular specificity often seems to be highly flexible in evolutionary time. For example, transcription-factor binding-site motifs often vary dramatically among orthologous genes in different species and even among similarly regulated genes within the same species (1-3). The binding interfaces of multimeric proteins can vary substantially among species, sometimes with no overlap at all (4, 5). The key amino acid sequences involved in intermolecular cross-talk in signal-transduction systems can evolve at high rates (6, 7), and growing evidence suggests that the locations of sites involved in posttranslational modification in individual proteins are under much weaker selective constraints than their absolute numbers (8). Although it is often argued that subtle differences in the motifs involved in intermolecular interactions are molded by the demands of natural selection, seldom has any direct evidence ever been provided in support of such arguments.The theory provided below makes the case...