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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.

Suggested Citation

  • 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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    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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