We can all agree that we evolved morality. Whether we stumbled onto platonic moral truths, or our current morality reflects the traits that got humans off the trees and into the cities, our moral sense has grown hand in hand with us up the taxonomic tree.
Evolutionary Stability is an important game theory model, which I admit I've only read as paraphrased my Dawkins, rather than in it's Maynard Smith original. The concept is thought that a species will settle into a strategy (behavior being given the intentional stance) or mix of strategies such that no other strategy (or mix) can push it out of dominance.
The classic example is doves and hawks (historical names, as Dawkins points out, doves are assholes) Hawks attack competitors immediately and fight dangerous fights. Doves fly away, always losing their territory but never being injured. Neither is stable as a homogeneous group, a single hawk in dove town will scare all doves of all resources, and a small group of doves amongst a constantly fighting world of hawks would do comparatively better. Depending on how you quantify the pay-offs and punishments, you end up with some mix of hawks and doves which is stable, no other system could do better against it. Note that this is different from optimal.
So, are the game of Morality is, are there Evolutionarily Stable Strategies for humans in moral arenas, and are those strategies what we would call moral. For example, pacifism is not allowed, because it does badly against warmongering. Open and available scientific research seems to do well, because it will do better than even a world of censors.
Are there stable strategies at the individual rather than the societal level?
Fun Game Huh!?!
