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Strategic Teaching and Learning in Games

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  • Burkhard C. Schipper

Abstract

We show there is no uncoupled learning heuristic leading to Nash equilibrium in all finite games that a player has an incentive to adopt, that would be evolutionary stable, or that could "learn itself." Rather, a player has an incentive to strategically teach a learning opponent to secure at least the Stackelberg leader payoff. This observation holds even when we restrict to generic games, two-player games, potential games, games with strategic complements, or 2 x 2 games, in which learning is known to be "nice." It also applies to uncoupled learning heuristics leading to correlated equilibria, rationalizability, iterated admissibility, or minimal CURB sets.

Suggested Citation

  • Burkhard C. Schipper, 2022. "Strategic Teaching and Learning in Games," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 321-352, August.
  • Handle: RePEc:aea:aejmic:v:14:y:2022:i:3:p:321-52
    DOI: 10.1257/mic.20170139
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    Cited by:

    1. Heller, Yuval & Mohlin, Erik, 2019. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Games and Economic Behavior, Elsevier, vol. 113(C), pages 223-247.
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    3. Jindani, Sam, 2022. "Learning efficient equilibria in repeated games," Journal of Economic Theory, Elsevier, vol. 205(C).
    4. Ioannis Kordonis & Alexandros C. Charalampidis & George P. Papavassilopoulos, 2018. "Pretending in Dynamic Games, Alternative Outcomes and Application to Electricity Markets," Dynamic Games and Applications, Springer, vol. 8(4), pages 844-873, December.

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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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