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Evolution of reciprocity with limited payoff memory.

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Cooperation can evolve through direct reciprocity even with limited memory of past interactions. Remembering only the last interaction leads to less cooperation, but recalling a few interactions quickly restores high cooperation rates.

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Area of Science:

  • Evolutionary biology
  • Behavioral economics
  • Game theory

Background:

  • Direct reciprocity explains cooperation in repeated social interactions.
  • Existing models assume individuals process average payoffs, requiring extensive memory.
  • Realistic cognitive constraints on memory and learning are not well understood.

Purpose of the Study:

  • To investigate how limited memory of recent interactions affects the evolution of direct reciprocity.
  • To determine the minimum cognitive requirements for cooperation to emerge.

Main Methods:

  • Agent-based modeling of conditional strategies in repeated social dilemmas.
  • Simulations varying the number of recent interactions used for payoff evaluation.
  • Analysis of cooperation levels and strategy generosity under different memory constraints.

Main Results:

  • Cooperation evolves even when individuals only remember their last interaction's payoff.
  • Limited memory leads to less generous strategies and lower cooperation frequency compared to average payoff models.
  • Cooperation rates rapidly approach classical levels when memory extends to two or three recent interactions.

Conclusions:

  • Rudimentary payoff memory is necessary for reciprocal cooperation.
  • Significant cooperation can be sustained with only a few recent interactions remembered.
  • Cognitive limitations may not be a major barrier to the evolution of cooperation.