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LIT-501: Five Rules for the Evolution of Cooperation

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Properties5
StatusActive — read in full 2026-10-02 (NOTE-409), main text only; the online supplement with the derivations was not read. Worth reading as the standard short map of mechanisms for the evolution of cooperation (kin selection, direct, indirect and network reciprocity, group selection), each reduced to a benefit-to-cost threshold from a 2×2 game. Every mechanism is modelled with the donation game, so it covers altruism only: mutualism, coordination and conflict resolution, four of morality-as-cooperation's seven domains, are outside it. Its one sentence on morality credits indirect reciprocity with "the evolution of morality", citing Alexander (1987).
Tagsnatural-sciences, game-theory, mathematics, complex-systems
Cited as “grounds” byCLAIM-547 — Cooperation within groups and the coexistence of groups are distinct targets that can trade off: in the group-selection rule of Nowak's five, b/c > 1 + n/m, cooperation spreads because a group that grows to size n splits and another group is driven extinct, so the mechanism that stabilizes cooperation inside groups works by removing groups; cooperation local to a group, the persistence of several groups whose interests are opposed, and concern for those outside one's group are three achievements, and none of them secures the next
Cited as “paper” byNOTE-409 — Five Rules for the Evolution of Cooperation
Cited as “source” byTHEORY-567 — In the donation game, where a cooperator pays c for another to get b, defectors win in a well-mixed population, and each of five mechanisms makes cooperators evolutionarily stable above a benefit-to-cost threshold: kin selection r > c/b, direct reciprocity w > c/b, indirect reciprocity q > c/b, network reciprocity b/c > k and group selection b/c > 1 + n/m; the rules cover altruism only, not mutualism, coordination or conflict

Graph View

Martin A. Nowak (2006), Science 314(5805): 1560–1563 (Review), 8 December 2006 — DOI-10.1126/science.1133755

Key takeaways

  • With the donation game (a cooperator pays c so another gets b), defectors win in a well-mixed population; five mechanisms change that, each with a threshold on b/c: r > c/b, w > c/b, q > c/b, b/c > k, b/c > 1 + n/m.
  • Each mechanism can be written as a 2×2 payoff matrix between cooperators and defectors, so all five can be compared by the same criteria: evolutionary stability, risk dominance and advantageousness (fixation probability above 1/N under weak selection).
  • Punishment “is not a mechanism for the evolution of cooperation”; every model of it rests on one of the five.

Standing in the record

Filed on 2026-10-02 at the owner’s request, as one of the evolutionary sources of morality-as-cooperation. It is not in NOTE-034’s lineage paragraph. Curry 2016 (LIT-503) lists it in Table 3 among previous reviews of cooperation that are “incomplete”: it covers kin and exchange but none of the conflict-resolution domains.

NOTE-409 is the reading of 2026-10-02, main text only, and it placed the work: Active, as the compact map of mechanisms. For morality-as-cooperation it grounds the kin domain (via Hamilton, LIT-497) and the exchange domain in two forms, direct reciprocity (after Trivers and Axelrod, LIT-510, LIT-498) and indirect reciprocity by reputation. Network reciprocity and group selection are population-structure mechanisms for altruism and do not map cleanly onto MAC’s group domain, which is mutualism and coordination. Because every mechanism is modelled with the donation game, coordination, contests, division and possession are absent.

Its one sentence on morality, that indirect reciprocity “leads to the evolution of morality (30) and social norms”, cites Alexander’s The Biology of Moral Systems (LIT-495).

One tension with the record. This paper presents kin selection theory “based on the Price equation” as general enough to compare all mechanisms. Luque’s analysis of the Price equation (LIT-205) answers critics who later include Nowak & Highfield (2011). The disagreement is between Nowak’s later work and this paper, and is not adjudicated here.

Topic. natural-sciences first. mathematics for evolutionary game dynamics. complex-systems for network reciprocity, multilevel selection and its claim that cooperation builds “new levels of organization”. Not moral-psychology: morality appears in one cited sentence.

Anthology. No instruction for machine-learning practice; not held there.

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