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Arbitration supports reciprocity when there are frequent perception errors.

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  • 1School of Human Evolution and Social Change, Arizona State University, Tempe, AZ, USA.

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Summary
This summary is machine-generated.

Arbitration tit-for-tat (ATFT) uses third-party arbitration to resolve disagreements about past behavior, restoring cooperation even with frequent perception errors. This strategy promotes reciprocity in social interactions.

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Area of Science:

  • Behavioral Economics
  • Game Theory
  • Evolutionary Biology

Background:

  • Reciprocity is crucial for cooperation but is often disrupted by perception errors, leading to disagreements about past actions.
  • Existing strategies like win-stay-lose-shift and generous tit-for-tat can restore cooperation but are ineffective when errors are frequent.

Purpose of the Study:

  • To introduce and analyze a novel strategy, arbitration tit-for-tat (ATFT), designed to overcome perception errors in reciprocal interactions.
  • To determine the conditions under which ATFT is evolutionarily stable and can establish cooperation despite frequent disagreements.

Main Methods:

  • Developed a game-theoretic model incorporating third-party arbitration to resolve perception errors.
  • Analyzed ATFT's stability as a subgame-perfect equilibrium and its evolutionary stability against various competing strategies.
  • Simulated ATFT's persistence under conditions of frequent errors, costly arbitration, and biased arbitration.

Main Results:

  • ATFT is a strong subgame-perfect equilibrium when arbitration is moderately accurate.
  • ATFT is evolutionarily stable against defectors, unconditional cooperators, and strategies that misuse arbitration.
  • ATFT can persist even with frequent perception errors, high arbitration costs, or biased arbitration.

Conclusions:

  • Third-party arbitration provides a robust mechanism for maintaining reciprocity when perception errors are common.
  • The findings suggest a potential explanation for the rarity of reciprocity in non-human animals and the role of social norms in human cooperation.
  • ATFT offers a framework for understanding how social institutions can support cooperation in complex environments.