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Coordination in 2 x 2 Games by Following Recommendations from Correlated Equilibria

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  • Johne Bone
  • Michalis Drouvelis
  • Indrajit Ray

Abstract

We consider three games, Symmetric Battle of the Sexes, Modified Battle of the Sexes and Chicken and two different correlation devices, public and private, with the same expected payoffs in equilibrium, which is also the best correlated equilibrium payoff for these games. Despite our choices of the payoffs in these games based on some theoretical criteria, we find that coordination and following recommendations vary significantly among our treatments. We explain these differences by analysing players' choices in cases when they do and do not follow recommendations in different games.

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  • Johne Bone & Michalis Drouvelis & Indrajit Ray, 2013. "Coordination in 2 x 2 Games by Following Recommendations from Correlated Equilibria," Discussion Papers 12-04, Department of Economics, University of Birmingham.
  • Handle: RePEc:bir:birmec:12-04
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    1. Kenneth Clark & Stephen Kay & Martin Sefton, 2001. "When are Nash equilibria self-enforcing? An experimental analysis," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 495-515.
    2. Ananish Chaudhuri & Tirnud Paichayontvijit, 2010. "Recommended play and performance bonuses in the minimum effort coordination game," Experimental Economics, Springer;Economic Science Association, vol. 13(3), pages 346-363, September.
    3. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    4. Brandts Jordi & Macleod W. Bentley, 1995. "Equilibrium Selection in Experimental Games with Recommended Play," Games and Economic Behavior, Elsevier, vol. 11(1), pages 36-63, October.
    5. Gabriele Camera & Marco Casari & Maria Bigoni, 2010. "Communication, Commitment, and Deception in Social Dilemmas: Experimental Evidence," Purdue University Economics Working Papers 1236, Purdue University, Department of Economics.
    6. Giovanna Devetag & Andreas Ortmann, 2007. "When and why? A critical survey on coordination failure in the laboratory," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 331-344, September.
    7. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    8. Osborne, Martin J & Rubinstein, Ariel, 1998. "Games with Procedurally Rational Players," American Economic Review, American Economic Association, vol. 88(4), pages 834-847, September.
    9. repec:hou:wpaper:2004-01 is not listed on IDEAS
    10. Cooper, Russell, et al, 1990. "Selection Criteria in Coordination Games: Some Experimental Results," American Economic Review, American Economic Association, vol. 80(1), pages 218-233, March.
    11. Timothy Cason & Tridib Sharma, 2007. "Recommended play and correlated equilibria: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 11-27, October.
    12. Guth, Werner & Huck, Steffen & Muller, Wieland, 2001. "The Relevance of Equal Splits in Ultimatum Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 161-169, October.
    13. Paola Manzini & Abdolkarim Sadrieh & Nicolaas J. Vriend, 2009. "On Smiles, Winks and Handshakes as Coordination Devices," Economic Journal, Royal Economic Society, vol. 119(537), pages 826-854, April.
    14. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1992. "Communication in Coordination Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 739-771.
    15. John Duffy & Eric O'N. Fisher, 2005. "Sunspots in the Laboratory," American Economic Review, American Economic Association, vol. 95(3), pages 510-529, June.
    16. John Duffy & Nick Feltovich, 2006. "Words, Deeds, and Lies: Strategic Behaviour in Games with Multiple Signals," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 669-688.
    17. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1989. "Communication in the Battle of the Sexes Game: Some Experimental Results," RAND Journal of Economics, The RAND Corporation, vol. 20(4), pages 568-587, Winter.
    18. Van Huyck, John B. & Gillette, Ann B. & Battalio, Raymond C., 1992. "Credible assignments in coordination games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 606-626, October.
    19. Arijit Mukherji & Kevin A. McCabe & David E. Runkle, 2000. "An experimental study of information and mixed-strategy play in the three-person matching-pennies game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 421-462.
    20. Indrajit Ray & Sonali Sen Gupta, 2012. "Coarse correlated Equilibria in Linear Duopoly Games," Discussion Papers 11-14rr, Department of Economics, University of Birmingham.
    21. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    22. McKelvey, Richard D & Page, Talbot, 1990. "Public and Private Information: An Experimental Study of Information Pooling," Econometrica, Econometric Society, vol. 58(6), pages 1321-1339, November.
    23. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    24. Moreno, Diego & Wooders, John, 1998. "An Experimental Study of Communication and Coordination in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 47-76, July.
    25. COOPER, R. & DEJONG, D.V. & FORSYTHE, R. & Tom Ross, 1989. "Communication In The Battle Of The Sexes Game," Carleton Industrial Organization Research Unit (CIORU) 89-03, Carleton University, Department of Economics.
    26. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January.
    27. Greiner, Ben, 2004. "An Online Recruitment System for Economic Experiments," MPRA Paper 13513, University Library of Munich, Germany.
    28. Crawford, Vincent, 1998. "A Survey of Experiments on Communication via Cheap Talk," Journal of Economic Theory, Elsevier, vol. 78(2), pages 286-298, February.
    29. Straub, Paul G., 1995. "Risk dominance and coordination failures in static games," The Quarterly Review of Economics and Finance, Elsevier, vol. 35(4), pages 339-363.
    30. Blume, Andreas & Ortmann, Andreas, 2007. "The effects of costless pre-play communication: Experimental evidence from games with Pareto-ranked equilibria," Journal of Economic Theory, Elsevier, vol. 132(1), pages 274-290, January.
    31. Battalio, Raymond & Samuelson, Larry & Van Huyck, John, 2001. "Optimization Incentives and Coordination Failure in Laboratory Stag Hunt Games," Econometrica, Econometric Society, vol. 69(3), pages 749-764, May.
    32. Marimon Ramon & Spear Stephen E. & Sunder Shyam, 1993. "Expectationally Driven Market Volatility: An Experimental Study," Journal of Economic Theory, Elsevier, vol. 61(1), pages 74-103, October.
    33. Costa-Gomes, Miguel A., 2002. "A Suggested Interpretation of Some Experimental Results on Preplay Communication," Journal of Economic Theory, Elsevier, vol. 104(1), pages 104-136, May.
    34. John Duffy & Nick Feltovich, 2008. "Correlated Equilibria, Good and Bad: An Experimental Study," Working Paper 358, Department of Economics, University of Pittsburgh, revised Oct 2008.
    35. Duffy, John & Feltovich, Nick, 2002. "Do Actions Speak Louder Than Words? An Experimental Comparison of Observation and Cheap Talk," Games and Economic Behavior, Elsevier, vol. 39(1), pages 1-27, April.
    36. Regina M. Anctil & John Dickhaut & Chandra Kanodia & Brian Shapiro, 2004. "Information Transparency and Coordination Failure: Theory and Experiment," Journal of Accounting Research, Wiley Blackwell, vol. 42(2), pages 159-195, May.
    37. John B. Van Huyck & Raymond C. Battalio & Richard O. Beil, 1991. "Strategic Uncertainty, Equilibrium Selection, and Coordination Failure in Average Opinion Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 885-910.
    38. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2004. "The Theory of Global Games on Test: Experimental Analysis of Coordination Games with Public and Private Information," Econometrica, Econometric Society, vol. 72(5), pages 1583-1599, September.
    39. Charness, Gary & Grosskopf, Brit, 2004. "What makes cheap talk effective? Experimental evidence," Economics Letters, Elsevier, vol. 83(3), pages 383-389, June.
    40. 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.
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    Cited by:

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    2. Masaki Aoyagi & Naoko Nishimura & Yoshitaka Okano, 2022. "Voluntary redistribution mechanism in asymmetric coordination games," Experimental Economics, Springer;Economic Science Association, vol. 25(2), pages 444-482, April.
    3. Ozdogan, Ayca & Saglam, Ismail, 2021. "Correlated equilibrium under costly disobedience," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 98-104.
    4. Konstantinos Georgalos & Indrajit Ray & Sonali Sen Gupta, 2017. "Coarse correlation and coordination in a game," Working Papers 151235570, Lancaster University Management School, Economics Department.
    5. Siebert, Jan & Yang, Guanzhong, 2021. "Coordination problems triggered by sunspots in the laboratory," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 94(C).
    6. Konstantinos Georgalos & Indrajit Ray & Sonali SenGupta, 2020. "Nash versus coarse correlation," Experimental Economics, Springer;Economic Science Association, vol. 23(4), pages 1178-1204, December.
    7. Karakostas, Alexandros & Zizzo, Daniel John, 2016. "Compliance and the power of authority," Journal of Economic Behavior & Organization, Elsevier, vol. 124(C), pages 67-80.
    8. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    9. Friedman, Daniel & Rabanal, Jean Paul & Rud, Olga A. & Zhao, Shuchen, 2022. "On the empirical relevance of correlated equilibrium," Journal of Economic Theory, Elsevier, vol. 205(C).
    10. Indrajit Ray & Sonali Gupta, 2013. "Coarse correlated equilibria in linear duopoly games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 541-562, May.
    11. Alejandro Lee-Penagos, 2016. "Learning to Coordinate: Co-Evolution and Correlated Equilibrium," Discussion Papers 2016-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    12. Georgalos, Konstantinos & Ray, Indrajit & Gupta, Sonali Sen, 2019. "Nash vs. Coarse Correlation," Cardiff Economics Working Papers E2019/3, Cardiff University, Cardiff Business School, Economics Section.
    13. John Duffy & Ernest Lai & Wooyoung Lim, 2013. "Language and Coordination: An Experimental Study," Working Paper 514, Department of Economics, University of Pittsburgh, revised Dec 2013.
    14. Indrajit Ray & Sonali Gupta, 2013. "Coarse correlated equilibria in linear duopoly games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 541-562, May.
    15. Arifovic, Jasmina & Boitnott, Joshua F. & Duffy, John, 2019. "Learning correlated equilibria: An evolutionary approach," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 171-190.
    16. Marcelle Caroline Thimotheo de Brito & Amaro O. Pereira Junior & Mario Veiga Ferraz Pereira & Julio César Cahuano Simba & Sergio Granville, 2022. "Competitive Behavior of Hydroelectric Power Plants under Uncertainty in Spot Market," Energies, MDPI, vol. 15(19), pages 1-22, October.
    17. Siebert, Jan & Yang, Guanzhong, 2017. "Discoordination and miscoordination caused by sunspots in the laboratory," Working Papers on East Asian Studies 114/2017, University of Duisburg-Essen, Institute of East Asian Studies IN-EAST.
    18. Arifovic, Jasmina & Jiang, Janet Hua, 2019. "Strategic uncertainty and the power of extrinsic signals– evidence from an experimental study of bank runs," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 1-17.
    19. Cabrales, Antonio & Drouvelis, Michalis & Gurguc, Zeynep & Ray, Indrajit, 2018. "Do we need to listen to all stakeholders?: communicating in a coordination game with private information," Cardiff Economics Working Papers E2018/23, Cardiff University, Cardiff Business School, Economics Section.

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    More about this item

    Keywords

    Coordination; Public message; Recommendation; Correlated equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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