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A two-trial two-strategy conflict.

C Cannings1, J C Whittaker

  • 1Department of Probability and Statistics, University of Sheffield, U.K.

Journal of Theoretical Biology
|March 21, 1991
PubMed
Summary
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This study explores iterated conflicts with finite rounds and general payoff matrices, contrasting with the Iterated Prisoner's Dilemma. It reveals how specific conditions lead to unique evolutionary stable strategies (ESS) in two-trial games.

Area of Science:

  • Game Theory
  • Evolutionary Biology
  • Mathematical Economics

Background:

  • Iterated games can foster cooperative behavior, as seen in the Prisoner's Dilemma.
  • Previous research often focused on infinite iterations or specific game structures.

Purpose of the Study:

  • To initiate the study of iterated conflicts with a fixed, finite number of iterations.
  • To analyze these conflicts with general payoff matrices, allowing for mixed Evolutionary Stable Strategies (ESS).

Main Methods:

  • Analysis of a two-trial game scenario.
  • Examination of payoff matrices that may include a mixed ESS in the single-trial case.

Main Results:

  • For games without an internal ESS in the one-trial case, the two-trial case is straightforward.

Related Experiment Videos

  • When a one-trial game has an internal ESS, the two-trial game results in two ESSs, partitioning the strategy space.

    • Conclusions:

    • Finite iterated conflicts with general payoff matrices present distinct dynamics from the Iterated Prisoner's Dilemma.
    • The existence and nature of ESS in two-trial games are highly dependent on the single-trial game's ESS properties.