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To Catch a Stag: Identifying payoff- and risk-dominance effects in coordination games

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  • Jagau, Stephan

Abstract

Five decades after Harsanyi and Selten's seminal work on equilibrium selection, we remain unable to predict the outcomes of real-life coordination even in simple cases. One reason is that experiments have struggled to quantify the effects of payoff- and risk-dominance and to separate them from context factors like feedback, repetition, and complexity. This experiment is the first to demonstrate that both payoff- and risk-dominance significantly and independently impact coordination decision-making. Three innovations characterize the design: First, payoff- and risk-dominance are disentangled using orthogonal measures of strategic incentives and welfare externalities. Second, a no-feedback, choice-list task format minimizes deviations from one-shot incentives. Third, beliefs about others' behavior are elicited. Strikingly, heterogeneous beliefs across the population rationalize not only reactions to risk dominance but also most reactions to payoff dominance. In addition, deviations from expected-value maximization in specific games suggest a minor role for social projection or other-regarding preferences.

Suggested Citation

  • Jagau, Stephan, 2024. "To Catch a Stag: Identifying payoff- and risk-dominance effects in coordination games," Games and Economic Behavior, Elsevier, vol. 147(C), pages 429-448.
  • Handle: RePEc:eee:gamebe:v:147:y:2024:i:c:p:429-448
    DOI: 10.1016/j.geb.2024.08.011
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    as
    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. 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.
    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. Cerreia-Vioglio, Simone & Maccheroni, Fabio & Marinacci, Massimo, 2022. "Ambiguity aversion and wealth effects," Journal of Economic Theory, Elsevier, vol. 199(C).
    5. Rydval, Ondrej & Ortmann, Andreas, 2005. "Loss avoidance as selection principle: Evidence from simple stag-hunt games," Economics Letters, Elsevier, vol. 88(1), pages 101-107, July.
    6. Harrison, Glenn W. & Lau, Morten I. & Ross, Don & Swarthout, J. Todd, 2017. "Small stakes risk aversion in the laboratory: A reconsideration," Economics Letters, Elsevier, vol. 160(C), pages 24-28.
    7. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
    8. Tobias Huber & Johannes G. Jaspersen & Andreas Richter & Dennis Strümpel, 2023. "On the change of risk aversion in wealth: a field experiment in a closed economic system," Experimental Economics, Springer;Economic Science Association, vol. 26(1), pages 1-26, March.
    9. 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.
    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. García, Julián & van Veelen, Matthijs, 2016. "In and out of equilibrium I: Evolution of strategies in repeated games with discounting," Journal of Economic Theory, Elsevier, vol. 161(C), pages 161-189.
    12. Ryan Kendall, 2022. "Decomposing coordination failure in stag hunt games," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1109-1145, September.
    13. 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.
    14. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    15. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1990. "Experimental Tests of the Endowment Effect and the Coase Theorem," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1325-1348, December.
    16. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    17. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    18. Russell Cooper & Thomas W. Ross, 1985. "Product Warranties and Double Moral Hazard," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 103-113, Spring.
    19. Nick Feltovich, 2011. "The Effect of Subtracting a Constant from all Payoffs in a Hawk-Dove Game: Experimental Evidence of Loss Aversion in Strategic Behavior," Southern Economic Journal, John Wiley & Sons, vol. 77(4), pages 814-826, April.
    20. Schmidt, David & Shupp, Robert & Walker, James M. & Ostrom, Elinor, 2003. "Playing safe in coordination games:: the roles of risk dominance, payoff dominance, and history of play," Games and Economic Behavior, Elsevier, vol. 42(2), pages 281-299, February.
    21. Tanjim Hossain & Ryo Okui, 2013. "The Binarized Scoring Rule," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(3), pages 984-1001.
    22. 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.
    23. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    24. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    25. 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.
    26. D. Dubois & M. Willinger & P. Van Nguyen, 2012. "Optimization incentive and relative riskiness in experimental stag-hunt games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 369-380, May.
    27. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    28. 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.
    29. Catherine C. Eckel & Philip J. Grossman, 2008. "Forecasting Risk Attitudes: An Experimental Study Using Actual and Forecast Gamble Choices," Monash Economics Working Papers archive-01, Monash University, Department of Economics.
    30. Daley, Brendan & Sadowski, Philipp, 2017. "Magical thinking: A representation result," Theoretical Economics, Econometric Society, vol. 12(2), May.
    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. Franklin Allen, 1987. "Notes--Discovering Personal Probabilities When Utility Functions are Unknown," Management Science, INFORMS, vol. 33(4), pages 542-544, April.
    33. repec:cup:cbooks:9780521555838 is not listed on IDEAS
    34. Stephan Jagau & Matthijs van Veelen, 2017. "A general evolutionary framework for the role of intuition and deliberation in cooperation," Nature Human Behaviour, Nature, vol. 1(8), pages 1-6, August.
    35. 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.
    36. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 525-528.
    37. Steffen Andersen & Glenn Harrison & Morten Lau & E. Rutström, 2009. "Elicitation using multiple price list formats," Experimental Economics, Springer;Economic Science Association, vol. 12(3), pages 365-366, September.
    38. Gérard P. Cachon & Colin F. Camerer, 1996. "Loss-Avoidance and Forward Induction in Experimental Coordination Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(1), pages 165-194.
    39. Rankin, Frederick W. & Van Huyck, John B. & Battalio, Raymond C., 2000. "Strategic Similarity and Emergent Conventions: Evidence from Similar Stag Hunt Games," Games and Economic Behavior, Elsevier, vol. 32(2), pages 315-337, August.
    40. Nick Feltovich & Atsushi Iwasaki & Sobei H. Oda, 2012. "Payoff Levels, Loss Avoidance, And Equilibrium Selection In Games With Multiple Equilibria: An Experimental Study," Economic Inquiry, Western Economic Association International, vol. 50(4), pages 932-952, October.
    41. 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.
    42. Daniel L. Chen & Martin Schonger & Chris Wickens, 2016. "oTree - An open-source platform for laboratory, online, and field experiments," Post-Print hal-04315125, HAL.
    43. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 217-227.
    44. Ozan Candogan & Ishai Menache & Asuman Ozdaglar & Pablo A. Parrilo, 2011. "Flows and Decompositions of Games: Harmonic and Potential Games," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 474-503, August.
    45. Yuanji Wen & Stijn Masschelein & Anmol Ratan, 2022. "Loss aversion in asymmetric anti‐coordination games," Southern Economic Journal, John Wiley & Sons, vol. 88(4), pages 1549-1573, April.
    46. Chen, Daniel L. & Schonger, Martin & Wickens, Chris, 2016. "oTree—An open-source platform for laboratory, online, and field experiments," Journal of Behavioral and Experimental Finance, Elsevier, vol. 9(C), pages 88-97.
    47. 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

    Coordination; Experiment; One-shot games; Choice list; Belief elicitation; Payoff dominance; Risk dominance;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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