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Investigating the failure to best respond in experimental games

Author

Listed:
  • Despoina Alempaki

    (University of Warwick)

  • Andrew M Colman

    (University of Leicester)

  • Felix Koelle

    (University of Cologne)

  • Graham Loomes

    (University of Warwick)

  • Briony D Pulford

    (University of Leicester)

Abstract

In experimental games, a substantial minority of players often fail to best respond. Using two-person 3x3 one-shot games, we investigated whether 'structuring' the pre-decision deliberation process produces greater consistency between individuals' stated values and beliefs on the one hand and their choice of action on the other. Despite this intervention, only just over half of strategy choices constituted best responses. Allowing for risk aversion made little systematic difference. Distinguishing between players according to their other-regarding preferences made a statistically significant difference, but best response rates increased only marginally. It may be that some irreducible minimum level of noise/imprecision generates some proportion of sub-optimal choices. If so, more research might usefully be directed towards competing models of stochastic strategic choice.

Suggested Citation

  • Despoina Alempaki & Andrew M Colman & Felix Koelle & Graham Loomes & Briony D Pulford, 2019. "Investigating the failure to best respond in experimental games," Discussion Papers 2019-13, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    • Handle: RePEc:not:notcdx:2019-13
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    1. Krawczyk, Michal & Le Lec, Fabrice, 2015. "Can we neutralize social preference in experimental games?," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 340-355.
    2. James Andreoni & Emily Blanchard, 2006. "Testing subgame perfection apart from fairness in ultimatum games," Experimental Economics, Springer;Economic Science Association, vol. 9(4), pages 307-321, December.
    3. 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.
    4. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    5. 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.
    6. Nagore Iriberri & Pedro Rey‐Biel, 2013. "Elicited beliefs and social information in modified dictator games: What do dictators believe other dictators do?," Quantitative Economics, Econometric Society, vol. 4(3), pages 515-547, November.
    7. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    8. Fischbacher, Urs & Fong, Christina M. & Fehr, Ernst, 2009. "Fairness, errors and the power of competition," Journal of Economic Behavior & Organization, Elsevier, vol. 72(1), pages 527-545, October.
    9. Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
    10. 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.
    11. 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.
    12. Andrew Schotter & Isabel Trevino, 2014. "Belief Elicitation in the Laboratory," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 103-128, August.
    13. Ciril Bosch-Rosa & Thomas Meissner, 2020. "The one player guessing game: a diagnosis on the relationship between equilibrium play, beliefs, and best responses," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1129-1147, December.
    14. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    15. Harrison, Glenn W, 1989. "Theory and Misbehavior of First-Price Auctions," American Economic Review, American Economic Association, vol. 79(4), pages 749-762, September.
    16. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    17. David Danz & Dietmar Fehr & Dorothea Kübler, 2012. "Information and beliefs in a repeated normal-form game," Experimental Economics, Springer;Economic Science Association, vol. 15(4), pages 622-640, December.
    18. Raymond Fisman & Shachar Kariv & Daniel Markovits, 2007. "Individual Preferences for Giving," American Economic Review, American Economic Association, vol. 97(5), pages 1858-1876, December.
    19. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    20. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    21. Weizsacker, Georg, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," Games and Economic Behavior, Elsevier, vol. 44(1), pages 145-171, July.
    22. Andreoni, James, 1995. "Cooperation in Public-Goods Experiments: Kindness or Confusion?," American Economic Review, American Economic Association, vol. 85(4), pages 891-904, September.
    23. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    24. 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.
    25. 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.
    26. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    27. Dirk Engelmann & Martin Strobel, 2004. "Inequality Aversion, Efficiency, and Maximin Preferences in Simple Distribution Experiments," American Economic Review, American Economic Association, vol. 94(4), pages 857-869, September.
    28. 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.
    29. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    30. Avoyan, Ala & Schotter, Andrew, 2020. "Attention in games: An experimental study," European Economic Review, Elsevier, vol. 124(C).
    31. Hoffmann, Timo, 2014. "The Effect of Belief Elicitation Game Play," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100483, Verein für Socialpolitik / German Economic Association.
    32. Rey-Biel, Pedro, 2009. "Equilibrium play and best response to (stated) beliefs in normal form games," Games and Economic Behavior, Elsevier, vol. 65(2), pages 572-585, March.
    33. Matteo M. Galizzi & Daniel Navarro-Martinez, 2019. "On the External Validity of Social Preference Games: A Systematic Lab-Field Study," Management Science, INFORMS, vol. 65(3), pages 976-1002, March.
    34. Marina Agranov & Pietro Ortoleva, 2017. "Stochastic Choice and Preferences for Randomization," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 40-68.
    35. Dietmar Fehr & Steffen Huck, 2016. "Who knows it is a game? On strategic awareness and cognitive ability," Experimental Economics, Springer;Economic Science Association, vol. 19(4), pages 713-726, December.
    36. Fehr, Ernst & Schmidt, Klaus M., 2006. "The Economics of Fairness, Reciprocity and Altruism - Experimental Evidence and New Theories," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 8, pages 615-691, Elsevier.
    37. Karl Schlag & James Tremewan & Joël Weele, 2015. "A penny for your thoughts: a survey of methods for eliciting beliefs," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 457-490, September.
    38. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    39. Sibilla Di Guida & Giovanna Devetag, 2013. "Feature-Based Choice and Similarity Perception in Normal-Form Games: An Experimental Study," Games, MDPI, vol. 4(4), pages 1-19, December.
    40. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    41. Eileen Chou & Margaret McConnell & Rosemarie Nagel & Charles Plott, 2009. "The control of game form recognition in experiments: understanding dominant strategy failures in a simple two person “guessing” game," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 159-179, June.
    42. Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2019. "Deliberately Stochastic," American Economic Review, American Economic Association, vol. 109(7), pages 2425-2445, July.
      • Simone Cerreia-Vioglio & David Dillenberger & Pietro Ortoleva & Gil Riella, 2012. "Deliberately Stochastic," PIER Working Paper Archive 17-013, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 25 May 2017.
    43. 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.
    44. Carpenter, Jeffrey & Graham, Michael & Wolf, Jesse, 2013. "Cognitive ability and strategic sophistication," Games and Economic Behavior, Elsevier, vol. 80(C), pages 115-130.
    45. Briony D. Pulford & Andrew M. Colman & Graham Loomes, 2018. "Incentive Magnitude Effects in Experimental Games: Bigger is not Necessarily Better," Games, MDPI, vol. 9(1), pages 1-10, January.
    46. Ivanov, Asen, 2011. "Attitudes to ambiguity in one-shot normal-form games: An experimental study," Games and Economic Behavior, Elsevier, vol. 71(2), pages 366-394, March.
    47. Ralph-C. Bayer & Ludovic Renou, 2011. "Cognitive abilities and behavior in strategic-form games.," Discussion Papers in Economics 11/16, Division of Economics, School of Business, University of Leicester.
    48. 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.
    49. Benjamin Beranek & Robin Cubitt & Simon Gächter, 2015. "Stated and revealed inequality aversion in three subject pools," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 43-58, July.
    50. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    51. Yaw Nyarko & Andrew Schotter, 2002. "An Experimental Study of Belief Learning Using Elicited Beliefs," Econometrica, Econometric Society, vol. 70(3), pages 971-1005, May.
    52. repec:cup:judgdm:v:15:y:2020:i:2:p:230-245 is not listed on IDEAS
    53. Croson, Rachel T. A., 2000. "Thinking like a game theorist: factors affecting the frequency of equilibrium play," Journal of Economic Behavior & Organization, Elsevier, vol. 41(3), pages 299-314, March.
    54. Sutter, Matthias & Czermak, Simon & Feri, Francesco, 2013. "Strategic sophistication of individuals and teams. Experimental evidence," European Economic Review, Elsevier, vol. 64(C), pages 395-410.
    55. 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.
    56. Bayer, R.-C. & Renou, Ludovic, 2016. "Logical abilities and behavior in strategic-form games," Journal of Economic Psychology, Elsevier, vol. 56(C), pages 39-59.
    57. James C. Cox & Duncan James, 2012. "Clocks and Trees: Isomorphic Dutch Auctions and Centipede Games," Econometrica, Econometric Society, vol. 80(2), pages 883-903, March.
    58. Timothy N. Cason & Charles R. Plott, 2014. "Misconceptions and Game Form Recognition: Challenges to Theories of Revealed Preference and Framing," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1235-1270.
    59. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
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    More about this item

    Keywords

    game theory; best response; strategic thinking; social preferences; stated beliefs;
    All these keywords.

    JEL classification:

    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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