An alternative to previous explanations of the rapid increase in man's longevity and intelligence during the several million years of his recent evolution from pre-hominid, clearly shorter-lived and less intelligent, primate ancestors is presented. The general thesis is that a very greatly accelerated rate of incorporation of favorable genes or gene combinations can be achieved in surprisingly few generations among social animals provided that dominant males become the patriarchs of many descendents by virtue of their partial or complete monopoly on available females. The conclusion is that man probably differs from his ancesters of 0.5 to 5 million years ago by many thousands of genes (both structural and regulatory) rather than the dozens or few hundreds that have been postulated on the basis of more classical treatments of selection pressures, gene frequency changes and mutation rates. The concepts developed here formally apply only to two alternative alleles, rather than to groups of genes which segregate independently, or to characters determined by multiple alleles. The appropriate mathematical treatment of the latter real situation is not readily visualized; nor is account taken of the likelihood that different tribes of pre-humans developed different specializations via the above mechanisms which were then (later) combined into an emerging human stock through matings between members of different tribes. The very great variability both in longevity and in intelligence between different races of animals such as dogs, which have been the objects of deliberate genetic selection by humans for particular heritable traits, may parallel our own recent history, even though the selection mechanism (deliberate human selection vs. polygamous dominance) is quite different in the two cases. The onset of civilizations consisting of amalgums between smaller, previously competing tribes, together with the humanitarian responsibilities to each other we share as a species, ironically has probably arrested further evolution of human longevity (and perhaps of intelligence) in the modern world. Possibly even retrogressive changes are occurring, except in those rare sub-populations in which special social and cultural practices tend to favor selective perpetuation of characteristics which are usually viewed as beneficial.