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Equation 13 · Part 2 · Why We Punish Strangers: The Evolution of Human Cooperation

Symbol k

wp=k(1−x−y)w_p = k(1 - x - y)
kk

What this part means

k is one of the signed contributions combined to compute the quantity on the left.

Its job in the formula

k is one of the signed contributions combined to compute the quantity on the left.

The passage around this formula

…relative to a non-punishing cooperator shrinks toward zero even while the plain cooperator’s disadvantage relative to a defector does not. Writing x for the frequency of cooperators, y for the frequency of punishers, and k for the cost of punishing a single defector, the punisher’s expected fitness penalty is approximately wp=k(1−x−y)w_p = k(1 - x - y). which falls as the residual pool of defectors, 1 - x - y , shrinks. Once a group happens to reach a state where

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A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

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