IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2304.12297.html
   My bibliography  Save this paper

Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments

Author

Listed:
  • Maximilian Andres

Abstract

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not entirely eliminate -- an agent's uncertainty that the other agent follows a cooperative strategy into the theory. Because of this, agents still worry about the payoff from cooperating when the other one defects, i.e. the sucker's payoff S, and, games with communication are more conducive to cooperation than games without communication. This theory is supported by data from laboratory experiments, and by machine learning based evaluation of the communication content.

Suggested Citation

  • Maximilian Andres, 2023. "Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments," Papers 2304.12297, arXiv.org.
  • Handle: RePEc:arx:papers:2304.12297
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2304.12297
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 317-349.
    2. Simon Gächter & Elke Renner, 2010. "The effects of (incentivized) belief elicitation in public goods experiments," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 364-377, September.
    3. Andres, Maximilian & Bruttel, Lisa & Friedrichsen, Jana, 2023. "How communication makes the difference between a cartel and tacit collusion: A machine learning approach," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 152, pages 1-1.
    4. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    5. 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.
    6. 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.
    7. David Gilo & Yossi Moshe & Yossi Spiegel, 2006. "Partial Cross Ownership and Tacit Collusion," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 81-99, Spring.
    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. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
    10. Kagel, John H. & Schley, Dan R., 2013. "How economic rewards affect cooperation reconsidered," Economics Letters, Elsevier, vol. 121(1), pages 124-127.
    11. Pedro Dal Bo & Andrew Foster & Louis Putterman, 2010. "Institutions and Behavior: Experimental Evidence on the Effects of Democracy," American Economic Review, American Economic Association, vol. 100(5), pages 2205-2229, December.
    12. Both, F. & Adam, M.T.P. & Hariharan, A. & Dorner, V. & Lux, E. & Weinhardt, C., 2016. "A randomized tabu search-based approach for perfect stranger matching in economic experiments," Economics Letters, Elsevier, vol. 145(C), pages 235-238.
    13. Pedro Dal Bo & Guillaume R. Frechette, 2007. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," Working Papers 2007-7, Brown University, Department of Economics.
    14. Lisa Bruttel & Ulrich Kamecke, 2012. "Infinity in the lab. How do people play repeated games?," Theory and Decision, Springer, vol. 72(2), pages 205-219, February.
    15. Stahl, Dale II, 1991. "The graph of Prisoners' Dilemma supergame payoffs as a function of the discount factor," Games and Economic Behavior, Elsevier, vol. 3(3), pages 368-384, August.
    16. Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
    17. Wilson, Alistair J. & Wu, Hong, 2017. "At-will relationships: How an option to walk away affects cooperation and efficiency," Games and Economic Behavior, Elsevier, vol. 102(C), pages 487-507.
    18. Harstad, Bård & Lancia, Francesco & Russo, Alessia, 2022. "Prices vs. quantities for self-enforcing agreements," Journal of Environmental Economics and Management, Elsevier, vol. 111(C).
    19. Andreoni, James A & Miller, John H, 1993. "Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence," Economic Journal, Royal Economic Society, vol. 103(418), pages 570-585, May.
    20. Guillaume R. Fréchette & Sevgi Yuksel, 2017. "Infinitely repeated games in the laboratory: four perspectives on discounting and random termination," Experimental Economics, Springer;Economic Science Association, vol. 20(2), pages 279-308, June.
    21. Aoyagi, Masaki & Fréchette, Guillaume, 2009. "Collusion as public monitoring becomes noisy: Experimental evidence," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1135-1165, May.
    22. 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.
    23. Pedro Dal BÛ, 2002. "Cooperation Under the Shadow of the Future: Experimental Evidence from Infinitely Repeated Games," Working Papers 2002-20, Brown University, Department of Economics.
    24. Ellingsen, Tore & Östling, Robert & Wengström, Erik, 2018. "How does communication affect beliefs in one-shot games with complete information?," Games and Economic Behavior, Elsevier, vol. 107(C), pages 153-181.
    25. David Gilo & Yossi Moshe & Yossi Spiegel, 2006. "Partial cross ownership and tacit collusion," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 81-99, March.
    26. 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.
    27. Fischer, Christian & Normann, Hans-Theo, 2019. "Collusion and bargaining in asymmetric Cournot duopoly—An experiment," European Economic Review, Elsevier, vol. 111(C), pages 360-379.
    28. Powell, Robert, 1993. "Guns, Butter, and Anarchy," American Political Science Review, Cambridge University Press, vol. 87(1), pages 115-132, March.
    29. Gill, David & Rosokha, Yaroslav, 2022. "Beliefs, Learning, and Personality in the Indefinitely Repeated Prisoner's Dilemma," IZA Discussion Papers 15492, Institute of Labor Economics (IZA).
    30. 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.
    31. 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.
    Full references (including those not matched with items on IDEAS)

    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. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    2. Ernesto Reuben & Sigrid Suetens, 2012. "Revisiting strategic versus non-strategic cooperation," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 24-43, March.
    3. repec:tiu:tiucen:200922 is not listed on IDEAS
    4. repec:dgr:kubcen:200922 is not listed on IDEAS
    5. repec:dgr:kubcen:200833 is not listed on IDEAS
    6. repec:tiu:tiucen:200833 is not listed on IDEAS
    7. Yves Breitmoser, 2015. "Cooperation, but No Reciprocity: Individual Strategies in the Repeated Prisoner's Dilemma," American Economic Review, American Economic Association, vol. 105(9), pages 2882-2910, September.
    8. 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.
    9. 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).
    10. 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.
    11. Jones, Matthew T., 2014. "Strategic complexity and cooperation: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 352-366.
    12. Marco Lambrecht & Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2021. "Intelligence Disclosure and Cooperation in Repeated Interactions," CESifo Working Paper Series 9372, CESifo.
    13. 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.
    14. Anujit Chakraborty, 2022. "Motives Behind Cooperation in Finitely Repeated Prisoner's Dilemma," Working Papers 353, University of California, Davis, Department of Economics.
    15. Johnsen, Åshild A. & Kvaløy, Ola, 2021. "Conspiracy against the public - An experiment on collusion11“People of the same trade seldom meet together, even for merriment and diversion, but the conversation ends in a conspiracy against the publ," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 94(C).
    16. 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.
    17. Gabriele Camera & Cary Deck & David Porter, 2016. "Do Economic Inequalities Affect Long-Run Cooperation?," Working Papers 16-18, Chapman University, Economic Science Institute.
    18. Fabian Dvorak & Sebastian Fehrler, 2018. "Negotiating Cooperation Under Uncertainty: Communication in Noisy, Indefinitely Repeated Interactions," TWI Research Paper Series 112, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
    19. 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.
    20. 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.
    21. John J Nay & Yevgeniy Vorobeychik, 2016. "Predicting Human Cooperation," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-19, May.
    22. Casoria, Fortuna & Ciccone, Alice, 2021. "Do upfront investments increase cooperation? A laboratory experiment," European Economic Review, Elsevier, vol. 140(C).
    23. John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, vol. 3(1), pages 1-22, March.
    24. Camera, Gabriele & Casari, Marco & Bigoni, Maria, 2012. "Cooperative strategies in anonymous economies: An experiment," Games and Economic Behavior, Elsevier, vol. 75(2), pages 570-586.

    More about this item

    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:arx:papers:2304.12297. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.