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What Eye Movements Can Tell about Theory of Mind in a Strategic Game

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  • Ben Meijering
  • Hedderik van Rijn
  • Niels A Taatgen
  • Rineke Verbrugge

Abstract

This study investigates strategies in reasoning about mental states of others, a process that requires theory of mind. It is a first step in studying the cognitive basis of such reasoning, as strategies affect tradeoffs between cognitive resources. Participants were presented with a two-player game that required reasoning about the mental states of the opponent. Game theory literature discerns two candidate strategies that participants could use in this game: either forward reasoning or backward reasoning. Forward reasoning proceeds from the first decision point to the last, whereas backward reasoning proceeds in the opposite direction. Backward reasoning is the only optimal strategy, because the optimal outcome is known at each decision point. Nevertheless, we argue that participants prefer forward reasoning because it is similar to causal reasoning. Causal reasoning, in turn, is prevalent in human reasoning. Eye movements were measured to discern between forward and backward progressions of fixations. The observed fixation sequences corresponded best with forward reasoning. Early in games, the probability of observing a forward progression of fixations is higher than the probability of observing a backward progression. Later in games, the probabilities of forward and backward progressions are similar, which seems to imply that participants were either applying backward reasoning or jumping back to previous decision points while applying forward reasoning. Thus, the game-theoretical favorite strategy, backward reasoning, does seem to exist in human reasoning. However, participants preferred the more familiar, practiced, and prevalent strategy: forward reasoning.

Suggested Citation

  • Ben Meijering & Hedderik van Rijn & Niels A Taatgen & Rineke Verbrugge, 2012. "What Eye Movements Can Tell about Theory of Mind in a Strategic Game," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-8, September.
  • Handle: RePEc:plo:pone00:0045961
    DOI: 10.1371/journal.pone.0045961
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    Cited by:

    1. de Weerd Harmen & Diepgrond Denny & Verbrugge Rineke, 2018. "Estimating the Use of Higher-Order Theory of Mind Using Computational Agents," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-12, July.
    2. Jakob Dirk Top & Rineke Verbrugge & Sujata Ghosh, 2018. "An Automated Method for Building Cognitive Models for Turn-Based Games from a Strategy Logic," Games, MDPI, vol. 9(3), pages 1-28, July.
    3. repec:cup:judgdm:v:13:y:2018:i:1:p:79-98 is not listed on IDEAS
    4. Rineke Verbrugge & Ben Meijering & Stefan Wierda & Hedderik van Rijn & Niels Taatgen, 2018. "Stepwise training supports strategic second-order theory of mind in turn-taking games," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(1), pages 79-98, January.
    5. Wei James Chen & Meng-Jhang Fong & Po-Hsuan Lin, 2023. "Measuring Higher-Order Rationality with Belief Control," Papers 2309.07427, arXiv.org.

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