An Evolutionary Model of Seducers and Providers, Free Riders and Workers
Tuesday, April 19th, 2005I was thinking on the way into work of how in modern America a man who wishes to father children without providing for their upbringing can count on pretty much the same survival-to-reproduction-age rate as one who does care for his children. That makes such a strategy a winner, evolutionarily. It means, though, that if such a strategy is genetic (or even transmitted merely by imitation of one’s genetic father), the fraction of provider fathers will shrink. If it shrinks far enough, then the survival rate for “cuckoo” children falls. An interesting question is what happens then.
Let’s depart from the realistic context now, to simplify. This is very much like an Altruist-Imitator model in biology. I wonder if such models have looked at the possible ultimate extinction of the species?
Here is how one might set it up. There are two types of agents, Nf Free Riders and Nw Workers, who cannot be distinguished. Workers each generate V in output. Output is shared equally, so each agent’s consumption is C= NfV/(Nw+Nf). Reproductive success depends on consumption. Each agent has g(C) offspring, where g’>0, g”<0, and, crucially, g(Cbar) < 0 for the subsistence consumption Cbar.
In that model, the Free Riders would increase in population relative to the Workers. Both might increase in absolute terms at first, but eventually the Worker population would start to decline, and at some point the Free Riders too. Once the number of Workers per Free Rider fell below some key level, the species is doomed and the population will shrink to zero.
The evolution of Machiavellian intelligence is related to this. Sexual selection means that it is useful for a man to be able to seduce women, pretending to be a Worker when he is a Free Rider–w hat I might call “offensive Machiavellian intelligence”. But it is equally important to be able to detect Free Riders– “defensive Machiavellian intelligence”. If this second type of intelligence does not develop, the first type will kill off the species. If both exist, they can survive forever in equilibrium, at least if defensive intelligence has some reproductive cost.