IDEAS home Printed from https://ideas.repec.org/p/gla/glaewp/2020_07.html
   My bibliography  Save this paper

Intelligence, Errors and Strategic Choices in the Repeated Prisoners Dilemma

Author

Listed:
  • Eugenio Proto
  • Aldo Rustichini
  • Andis Sofianos

Abstract

A large literature in behavioral economics has emphasized in the last decades the role of individual differences in social preferences (such as trust and altruism) in influencing behavior in strategic environments. Here we emphasize the role of attention and working memory, and show that social interactions among heterogeneous groups are mediated by differences in cognitive skills. Our design uses a repeated prisoner’s dilemma; we compare rates of cooperation in groups of subjects separated according to their IQ, with those in integrated groups, where subjects of different IQ are pooled together. In integrated groups we observe higher aggregated cooperation rates and profits than in separated groups. There are gains in earnings among lower IQ subjects who learn how to cooperate faster than when they play separately, and smaller losses for higher IQ subjects. We also see that higher IQ subjects become less lenient when they are matched with lower IQ subjects than when they play separately. This pattern is an instance of a general phenomenon, which we demonstrate in an evolutionary game theory model, in which higher IQ among subjects induces –possibly thanks to better working memory– a lower frequency of errors in strategy implementation. We show that players indeed choose less-lenient strategies in environments in which subjects have higher error rates. Estimations of errors and strategies from the experimental data are consistent with the hypothesis and model’s predictions.

Suggested Citation

  • Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2020. "Intelligence, Errors and Strategic Choices in the Repeated Prisoners Dilemma," Working Papers 2020_07, Business School - Economics, University of Glasgow.
  • Handle: RePEc:gla:glaewp:2020_07
    as

    Download full text from publisher

    File URL: https://www.gla.ac.uk/media/Media_716062_smxx.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matthias Blonski & Peter Ockenfels & Giancarlo Spagnolo, 2011. "Equilibrium Selection in the Repeated Prisoner's Dilemma: Axiomatic Approach and Experimental Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 164-192, August.
    2. Larbi Alaoui & Antonio Penta, 2016. "Endogenous Depth of Reasoning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(4), pages 1297-1333.
    3. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    4. David Gill & Victoria Prowse, 2016. "Cognitive Ability, Character Skills, and Learning to Play Equilibrium: A Level-k Analysis," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1619-1676.
    5. Anna Dreber & David G. Rand & Drew Fudenberg & Martin A. Nowak, 2008. "Winners don’t punish," Nature, Nature, vol. 452(7185), pages 348-351, March.
    6. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2020. "Memory, Attention, and Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1399-1442.
    7. 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.
    8. Drew Fudenberg & David G. Rand & Anna Dreber, 2012. "Slow to Anger and Fast to Forgive: Cooperation in an Uncertain World," American Economic Review, American Economic Association, vol. 102(2), pages 720-749, April.
    9. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    10. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-867, May.
    11. Pedro Dal Bo & Guillaume R. Frochette, 2011. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," American Economic Review, American Economic Association, vol. 101(1), pages 411-429, February.
    12. 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.
    13. Pedro Dal Bó & Guillaume R. Fréchette, 2019. "Strategy Choice in the Infinitely Repeated Prisoner's Dilemma," American Economic Review, American Economic Association, vol. 109(11), pages 3929-3952, November.
    14. Jones, Garett, 2008. "Are smarter groups more cooperative? Evidence from prisoner's dilemma experiments, 1959-2003," Journal of Economic Behavior & Organization, Elsevier, vol. 68(3-4), pages 489-497, December.
    15. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    16. Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2019. "Intelligence, Personality, and Gains from Cooperation in Repeated Interactions," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1351-1390.
    17. Timothy Cason & Sau-Him Lau & Vai-Lam Mui, 2013. "Learning, teaching, and turn taking in the repeated assignment game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 335-357, October.
    18. Duffy, John & Ochs, Jack, 2009. "Cooperative behavior and the frequency of social interaction," Games and Economic Behavior, Elsevier, vol. 66(2), pages 785-812, July.
    19. Pedro Dal Bó, 2005. "Cooperation under the Shadow of the Future: Experimental Evidence from Infinitely Repeated Games," American Economic Review, American Economic Association, vol. 95(5), pages 1591-1604, December.
    20. Pedro Dal Bó & Guillaume R. Fréchette, 2018. "On the Determinants of Cooperation in Infinitely Repeated Games: A Survey," Journal of Economic Literature, American Economic Association, vol. 56(1), pages 60-114, March.
    21. Bock, Olaf & Baetge, Ingmar & Nicklisch, Andreas, 2014. "hroot: Hamburg Registration and Organization Online Tool," European Economic Review, Elsevier, vol. 71(C), pages 117-120.
    22. Camerer, Colin F. & Ho, Teck-Hua & Chong, Juin-Kuan, 2002. "Sophisticated Experience-Weighted Attraction Learning and Strategic Teaching in Repeated Games," Journal of Economic Theory, Elsevier, vol. 104(1), pages 137-188, May.
    23. Kyle Hyndman & Erkut Y. Ozbay & Andrew Schotter & Wolf Ze’ev Ehrblatt, 2012. "Convergence: An Experimental Study Of Teaching And Learning In Repeated Games," Journal of the European Economic Association, European Economic Association, vol. 10(3), pages 573-604, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dal Bó, Pedro & Fréchette, Guillaume R. & Kim, Jeongbin, 2021. "The determinants of efficient behavior in coordination games," Games and Economic Behavior, Elsevier, vol. 130(C), pages 352-368.
    2. Michalis Drouvelis & Graeme Pearce, 2021. "Understanding the Link between Intelligence and Lying," CESifo Working Paper Series 9223, CESifo.
    3. Masaki Aoyagi & Guillaume Frechette & Sevgi Yuksel, 2021. "Beliefs in Repeated Games," ISER Discussion Paper 1119rr, Institute of Social and Economic Research, Osaka University, revised May 2022.
    4. Zakharov, Alexei & Bondarenko, Oxana, 2021. "Social status and social learning," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 90(C).
    5. Drouvelis, Michalis & Pearce, Graeme, 2023. "Is there a link between intelligence and lying?," Journal of Economic Behavior & Organization, Elsevier, vol. 206(C), pages 182-203.
    6. Masaki Aoyagi & Guillaume Frechette & Sevgi Yuksel, 2021. "Beliefs in Repeated Games," ISER Discussion Paper 1119, Institute of Social and Economic Research, Osaka University.
    7. Brocas, Isabelle & Carrillo, Juan D., 2022. "Adverse selection and contingent reasoning in preadolescents and teenagers," Games and Economic Behavior, Elsevier, vol. 133(C), pages 331-351.
    8. Kirchkamp, Oliver & Oechssler, Joerg & Sofianos, Andis, 2021. "The Binary Lottery Procedure does not induce risk neutrality in the Holt & Laury and Eckel & Grossman tasks," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 348-369.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marco Lambrecht & Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2024. "Intelligence Disclosure and Cooperation in Repeated Interactions," American Economic Journal: Microeconomics, American Economic Association, vol. 16(3), pages 199-231, August.
    2. Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2019. "Intelligence, Personality, and Gains from Cooperation in Repeated Interactions," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1351-1390.
    3. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    4. Masaki Aoyagi & Guillaume Frechette & Sevgi Yuksel, 2021. "Beliefs in Repeated Games," ISER Discussion Paper 1119rr, Institute of Social and Economic Research, Osaka University, revised May 2022.
    5. Miriam Al Lily, 2023. "Establishing human connections: experimental evidence from the helping game," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 805-832, September.
    6. Tetsuya Kawamura & Tiffany Tsz Kwan Tse, 2022. "Intelligence promotes cooperation in long-term interaction: experimental evidence in infinitely repeated public goods games," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(4), pages 927-946, October.
    7. Timothy Cason & Sau-Him Lau & Vai-Lam Mui, 2013. "Learning, teaching, and turn taking in the repeated assignment game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 335-357, October.
    8. Jones, Matthew T., 2014. "Strategic complexity and cooperation: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 352-366.
    9. Drouvelis, Michalis & Pearce, Graeme, 2023. "Leadership under the shadow of the future: Intelligence and strategy choice in infinitely repeated games," European Economic Review, Elsevier, vol. 152(C).
    10. Katerina Sherstyuk & Nori Tarui & Tatsuyoshi Saijo, 2013. "Payment schemes in infinite-horizon experimental games," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 125-153, March.
    11. Proto, Eugenio & Rustichini, Aldo & Sofianos, Andis, 2014. "Higher Intelligence Groups Have Higher Cooperation Rates in the Repeated Prisoner's Dilemma," IZA Discussion Papers 8499, Institute of Labor Economics (IZA).
    12. Gallo, Edoardo & Riyanto, Yohanes E. & Roy, Nilanjan & Teh, Tat-How, 2019. "Cooperation in an Uncertain and Dynamic World," MPRA Paper 97878, University Library of Munich, Germany.
    13. Ernesto Reuben & Sigrid Suetens, 2012. "Revisiting strategic versus non-strategic cooperation," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 24-43, March.
    14. Kamei, Kenju, 2015. "Endogenous Reputation Formation: Cooperation and Identity under the Shadow of the Future," MPRA Paper 61657, University Library of Munich, Germany.
    15. repec:tiu:tiucen:200922 is not listed on IDEAS
    16. repec:dgr:kubcen:200922 is not listed on IDEAS
    17. Normann, Hans-Theo & Sternberg, Martin, 2022. "Human-algorithm interaction: Algorithmic pricing in hybrid laboratory markets," DICE Discussion Papers 392, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    18. Normann, Hans-Theo & Sternberg, Martin, 2023. "Human-algorithm interaction: Algorithmic pricing in hybrid laboratory markets," European Economic Review, Elsevier, vol. 152(C).
    19. Maximilian Andres, 2023. "Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments," Papers 2304.12297, arXiv.org.
    20. Rand, David G. & Fudenberg, Drew & Dreber, Anna, 2015. "It's the thought that counts: The role of intentions in noisy repeated games," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 481-499.
    21. repec:dgr:kubcen:200833 is not listed on IDEAS
    22. Dreber, Anna & Fudenberg, Drew & Rand, David G., 2014. "Who cooperates in repeated games: The role of altruism, inequity aversion, and demographics," Journal of Economic Behavior & Organization, Elsevier, vol. 98(C), pages 41-55.
    23. repec:tiu:tiucen:200833 is not listed on IDEAS
    24. Dijkstra, Peter T., 2015. "Price leadership and unequal market sharing: Collusion in experimental markets," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 80-97.

    More about this item

    Keywords

    Repeated Prisoners Dilemma; Cooperation; Intelligence; IQ; Strategy; Error in Transition;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gla:glaewp:2020_07. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Business School Research Team (email available below). General contact details of provider: https://edirc.repec.org/data/dpglauk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.