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Gaze patterns disclose the link between cognitive reflection and sophistication in strategic interaction

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  • Zonca, Joshua
  • Coricelli, Giorgio
  • Polonio, Luca

Abstract

In social contexts, we refer to strategic sophistication as the ability to adapt our own behavior based on the possible actions of others. In the current study, we explore the role of other-oriented attention and cognitive reflection in explaining heterogeneity in strategic sophistication. In two eye-tracking experiments, we registered eye movements of participants while playing matrix games of increasing relational complexity (2x2 and 3x3 matrices), and we analyzed individual gaze patterns to reveal the ongoing mechanisms of integration of own and others’ incentives in the current game representation. Moreover, participants completed the Cognitive Reflection Test (CRT), in addition to alternative measures of cognitive ability. In both classes of games, higher cognitive reflection levels specifically predict the ability to incorporate the counterpart’s incentives in the current model of the game, as well as higher levels of strategic sophistication. Conversely, players exhibiting low cognitive reflection tend to pay less attention to relevant transitions between the counterpart’s payoffs, and such incomplete visual analysis leads to out-of-equilibrium choices. Gaze patterns appear to completely mediate the relationship between cognitive reflection and strategic choices. Our results shed new light on the cognitive factors driving heterogeneity in strategic thinking and on theories of bounded rationality.

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  • Zonca, Joshua & Coricelli, Giorgio & Polonio, Luca, 2020. "Gaze patterns disclose the link between cognitive reflection and sophistication in strategic interaction," Judgment and Decision Making, Cambridge University Press, vol. 15(2), pages 230-245, March.
  • Handle: RePEc:cup:judgdm:v:15:y:2020:i:2:p:230-245_7
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    References listed on IDEAS

    as
    1. Oechssler, Jörg & Roider, Andreas & Schmitz, Patrick W., 2009. "Cognitive abilities and behavioral biases," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 147-152, October.
    2. repec:hal:pseose:hal-01359231 is not listed on IDEAS
    3. Eizo Akiyama & Nobuyuki Hanaki & Ryuichiro Ishikawa, 2017. "It is Not Just Confusion! Strategic Uncertainty in An Experimental Asset Market," Economic Journal, Royal Economic Society, vol. 127(605), pages 563-580, October.
    4. Campitelli, Guillermo & Labollita, Martín, 2010. "Correlations of cognitive reflection with judgments and choices," Judgment and Decision Making, Cambridge University Press, vol. 5(3), pages 182-191, June.
    5. Eizo Akiyama & Nobuyuki Hanaki & Ryuichiro Ishikawa, 2017. "It is Not Just Confusion! Strategic Uncertainty in An Experimental Asset Market," Economic Journal, Royal Economic Society, vol. 127(605), pages 563-580, October.
    6. Kreps, David M., 1990. "Game Theory and Economic Modelling," OUP Catalogue, Oxford University Press, number 9780198283812.
    7. repec:cup:judgdm:v:4:y:2009:i:1:p:20-33 is not listed on IDEAS
    8. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
    9. Evans, Anthony M. & Krueger, Joachim I., 2014. "Outcomes and expectations in dilemmas of trust," Judgment and Decision Making, Cambridge University Press, vol. 9(2), pages 90-103, March.
    10. Burnham, Terence C. & Cesarini, David & Johannesson, Magnus & Lichtenstein, Paul & Wallace, Björn, 2009. "Higher cognitive ability is associated with lower entries in a p-beauty contest," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 171-175, October.
    11. Brañas-Garza, Pablo & García-Muñoz, Teresa & González, Roberto Hernán, 2012. "Cognitive effort in the Beauty Contest Game," Journal of Economic Behavior & Organization, Elsevier, vol. 83(2), pages 254-260.
    12. Isabelle Brocas & Juan D. Carrillo & Stephanie W. Wang & Colin F. Camerer, 2014. "Imperfect Choice or Imperfect Attention? Understanding Strategic Thinking in Private Information Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 944-970.
    13. Rydval, Ondrej & Ortmann, Andreas & Ostatnicky, Michal, 2009. "Three very simple games and what it takes to solve them," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 589-601, October.
    14. Giovanna Devetag & Sibilla Guida & Luca Polonio, 2016. "An eye-tracking study of feature-based choice in one-shot games," Experimental Economics, Springer;Economic Science Association, vol. 19(1), pages 177-201, March.
    15. 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.
    16. Edward T. Cokely & Colleen M. Kelley, 2009. "Cognitive abilities and superior decision making under risk: A protocol analysis and process model evaluation," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 4(1), pages 20-33, February.
    17. Cokely, Edward T. & Kelley, Colleen M., 2009. "Cognitive abilities and superior decision making under risk: A protocol analysis and process model evaluation," Judgment and Decision Making, Cambridge University Press, vol. 4(1), pages 20-33, February.
    18. Miguel A. Costa-Gomes & Georg Weizsäcker, 2008. "Stated Beliefs and Play in Normal-Form Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 729-762.
    19. Giovanna Devetag & Sibilla Guida & Luca Polonio, 2016. "An eye-tracking study of feature-based choice in one-shot games," Experimental Economics, Springer;Economic Science Association, vol. 19(1), pages 177-201, March.
    20. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
    21. Shane Frederick, 2005. "Cognitive Reflection and Decision Making," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 25-42, Fall.
    22. Chong, Juin-Kuan & Ho, Teck-Hua & Camerer, Colin, 2016. "A generalized cognitive hierarchy model of games," Games and Economic Behavior, Elsevier, vol. 99(C), pages 257-274.
    23. Nobuyuki Hanaki & Nicolas Jacquemet & Stéphane Luchini & Adam Zylbersztejn, 2016. "Fluid intelligence and cognitive reflection in a strategic environment: evidence from dominance-solvable games," Post-Print hal-01359231, HAL.
    24. Carpenter, Jeffrey & Graham, Michael & Wolf, Jesse, 2013. "Cognitive ability and strategic sophistication," Games and Economic Behavior, Elsevier, vol. 80(C), pages 115-130.
    25. repec:cup:judgdm:v:5:y:2010:i:3:p:182-191 is not listed on IDEAS
    26. Grosskopf, Brit & Nagel, Rosemarie, 2008. "The two-person beauty contest," Games and Economic Behavior, Elsevier, vol. 62(1), pages 93-99, January.
    27. repec:cup:judgdm:v:9:y:2014:i:2:p:90-103 is not listed on IDEAS
    28. repec:cup:judgdm:v:13:y:2018:i:1:p:79-98 is not listed on IDEAS
    29. Joshua Zonca & Giorgio Coricelli & Luca Polonio, 2019. "Does exposure to alternative decision rules change gaze patterns and behavioral strategies in games?," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 5(1), pages 14-25, August.
    30. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    31. Brocas, Isabelle & Carrillo, Juan D. & Sachdeva, Ashish, 2018. "The path to equilibrium in sequential and simultaneous games: A mousetracking study," Journal of Economic Theory, Elsevier, vol. 178(C), pages 246-274.
    32. Daniel Kahneman, 2003. "Maps of Bounded Rationality: Psychology for Behavioral Economics," American Economic Review, American Economic Association, vol. 93(5), pages 1449-1475, December.
    33. Kiss, H.J. & Rodriguez-Lara, I. & Rosa-García, A., 2016. "Think twice before running! Bank runs and cognitive abilities," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 64(C), pages 12-19.
    34. Polonio, Luca & Di Guida, Sibilla & Coricelli, Giorgio, 2015. "Strategic sophistication and attention in games: An eye-tracking study," Games and Economic Behavior, Elsevier, vol. 94(C), pages 80-96.
    35. Guillermo Campitelli & Martin Labollita, 2010. "Correlations of cognitive reflection with judgments and choices," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 5(3), pages 182-191, June.
    36. Ho, Teck-Hua & Camerer, Colin & Weigelt, Keith, 1998. "Iterated Dominance and Iterated Best Response in Experimental "p-Beauty Contests."," American Economic Review, American Economic Association, vol. 88(4), pages 947-969, September.
    37. Hoppe, Eva I. & Kusterer, David J., 2011. "Behavioral biases and cognitive reflection," Economics Letters, Elsevier, vol. 110(2), pages 97-100, February.
    38. Verbrugge, Rineke & Meijering, Ben & Wierda, Stefan & van Rijn, Hedderik & Taatgen, Niels, 2018. "Stepwise training supports strategic second-order theory of mind in turn-taking games," Judgment and Decision Making, Cambridge University Press, vol. 13(1), pages 79-98, January.
    39. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    40. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
    41. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    42. Anthony M. Evans & Joachim I. Krueger, 2014. "Outcomes and expectations in dilemmas of trust," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 9(2), pages 90-103, March.
    43. Polonio, Luca & Coricelli, Giorgio, 2019. "Testing the level of consistency between choices and beliefs in games using eye-tracking," Games and Economic Behavior, Elsevier, vol. 113(C), pages 566-586.
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