Equation 2 · Why We Punish Strangers: The Evolution of Human Cooperation
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the coefficient of relatedness between the actor and the recipient. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Here r is the coefficient of relatedness between the actor and the recipient, b is the fitness benefit the recipient gains, and c is the fitness cost the actor pays. A gene that disposes its carrier to help a relative will spread whenever the benefit to the recipient, discounted by how likely the recipient is to carry a copy of the same gene, exceeds the cost to the helper. As Robert Trivers summarized it a few years later, opening his own paper on the harder problem of altruism between non-relatives, “Hamilton (1964) has demonstrated that degree of relationship is an important parameter in predicting how selection will operate” on behavior that looks altruistic [ 2 ] . Under Hamilton’s…
Read the full surrounding passage
Here r is the coefficient of relatedness between the actor and the recipient, b is the fitness benefit the recipient gains, and c is the fitness cost the actor pays. A gene that disposes its carrier to help a relative will spread whenever the benefit to the recipient, discounted by how likely the recipient is to carry a copy of the same gene, exceeds the cost to the helper. As Robert Trivers summarized it a few years later, opening his own paper on the harder problem of altruism between non-relatives, “Hamilton (1964) has demonstrated that degree of relationship is an important parameter in predicting how selection will operate” on behavior that looks altruistic [ 2 ] . Under Hamilton’s rule, a parent who works to feed a child, or a sibling who takes a real risk for a full sibling, is not a puzzle. The genes involved are, in the relevant sense, helping copies of themselves.
Sources cited in the surrounding passage
These citations give research context. Read each source to check which claims it supports.
Return to Why We Punish Strangers: The Evolution of Human Cooperation