Hamilton's equation describes whether or not a gene for altruistic behaviour will spread in a population.[2] The gene will spread if rxb is greater than c:
where:
is the reproductive cost to the altruist,
is the reproductive benefit to the recipient of the altruistic behavior, and
is the probability, above the population average, of the individuals sharing an altruistic gene – the "degree of relatedness".
Collected papers
Hamilton started to publish his collected papers starting in 1996, with short essays giving each paper context. He died after the preparation of the second volume, so the commentaries for the third volume came from his coauthors.
Hamilton, W.D. (2005). Narrow Roads of Gene Land: Volume 1: Evolution of Social Behaviour. Oxford University Press on Demand. ISBN978-0-7167-4530-3.
Hamilton, W.D. (2001). Narrow Roads of Gene Land: Volume 2: Evolution of Sex. Oxford University Press. ISBN978-0-19-850336-1.
Hamilton, W.D. (2005). Narrow Roads of Gene Land - The Collected Papers of W.D. Hamilton: Volume 3 - Last Words. Oxford University Press on Demand. ISBN0-19-856690-5.