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Autocratic strategies for alternating games.

Alex McAvoy1, Christoph Hauert2

  • 1Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada; Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138, United States.

Theoretical Population Biology
|October 4, 2016
PubMed
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New autocratic strategies allow players to control repeated interactions in alternating games. These strategies, including extortionate and generous types, adapt to player asymmetries, even favoring subordinates in dominance hierarchies.

Keywords:
CooperationExtortionGame theoryZero-determinant strategy

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Area of Science:

  • Behavioral sciences
  • Evolutionary biology
  • Game theory

Background:

  • Repeated games are foundational in behavioral sciences and evolutionary biology.
  • Zero-determinant (autocratic) strategies offer unilateral control over payoffs in synchronous games.

Purpose of the Study:

  • Extend autocratic strategy theory to alternating games.
  • Analyze the existence and implications of autocratic strategies in asymmetric interaction settings.

Main Methods:

  • Investigated autocratic strategies in strictly-alternating and randomly-alternating two-player games.
  • Examined conditions for autocratic strategy existence based on player turn order.
  • Utilized the continuous Donation Game to illustrate specific autocratic strategy types.

Main Results:

  • Autocratic strategies exist for the first-moving player in strictly-alternating games.
  • Autocratic strategies are also feasible in randomly-alternating games.
  • Asymmetries in alternating games can lead to subordinates possessing more autocratic strategies than dominant players.

Conclusions:

  • Autocratic strategies are applicable and impactful in alternating game structures.
  • Alternating moves introduce asymmetries that can be strategically leveraged.
  • The findings have implications for understanding dominance hierarchies and cooperation in biological and social systems.