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Measuring Strategic Uncertainty in Coordination Games

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Author Info
Frank Heinemann ()
Rosemarie Nagel ()
Peter Ockenfels ()

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Abstract

This paper explores three aspects of strategic uncertainty: its relation to risk, predictability of behavior and subjective beliefs of players. In a laboratory experiment we measure subjects’ certainty equivalents for three coordination games and one lottery. Behavior in coordination games is related to risk aversion, experience seeking, and age. From the distribution of certainty equivalents we estimate probabilities for successful coordination in a wide range of games. For many games, success of coordination is predictable with a reasonable error rate. The best response to observed behavior is close to the global-game solution. Comparing choices in coordination games with revealed risk aversion, we estimate subjective probabilities for successful coordination. In games with a low coordination requirement, most subjects underestimate the probability of success. In games with a high coordination requirement, most subjects overestimate this probability. Estimating probabilistic decision models, we show that the quality of predictions can be improved when individual characteristics are taken into account. Subjects’ behavior is consistent with probabilistic beliefs about the aggregate outcome, but inconsistent with probabilistic beliefs about individual behavior.

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Paper provided by CESifo GmbH in its series CESifo Working Paper Series with number CESifo Working Paper No. 1364.

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Date of creation: 2004
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Handle: RePEc:ces:ceswps:_1364

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Andreas Lange & John A. List & Michael K. Price, 2004. "Auctions with Resale When Private Values Are Uncertain: Theory and Empirical Evidence," NBER Working Papers 10639, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Christian Hellwig, 2002. "Imperfect Common Knowledge of Preferences in Global Coordination Games (October 2002)," UCLA Economics Online Papers 211, UCLA Department of Economics. [Downloadable!]
  5. Berninghaus, Siegfried K. & Ehrhart, Karl-Martin, 2001. "Coordination and information: recent experimental evidence," Economics Letters, Elsevier, vol. 73(3), pages 345-351, December. [Downloadable!] (restricted)
  6. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July. [Downloadable!] (restricted)
  7. Rosemarie Nagel & Antonio Cabrales & Roc Armenter, 2002. "Equilibrium Selection through Incomplete Information in Coordination Games: An Experimental Study," Economics Working Papers 601, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  8. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September. [Downloadable!] (restricted)
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  9. R. J. Aumann & J. H. Dreze, 2004. "Assessing Strategic Risk," Discussion Paper Series dp361, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem. [Downloadable!]
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  10. Charles F. Manski, 2004. "Measuring Expectations," Econometrica, Econometric Society, vol. 72(5), pages 1329-1376, 09. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Bohnet, Iris & Zeckhauser, Richard, 2004. "Trust, risk and betrayal," Journal of Economic Behavior & Organization, Elsevier, vol. 55(4), pages 467-484, December. [Downloadable!] (restricted)
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  13. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation, Yale University. [Downloadable!]
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  14. Yaw Nyarko & Andrew Schotter, 2002. "An Experimental Study of Belief Learning Using Elicited Beliefs," Econometrica, Econometric Society, vol. 70(3), pages 971-1005, May. [Downloadable!] (restricted)
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Cited by:
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  1. Antonio Cabrales & Raffaele Miniaci & Marco Piovesan & Giovanni Ponti, 2008. "Social Preferences and Strategic Uncertainty: An Experiment on Markets and Contracts," Discussion Papers 08-06, University of Copenhagen. Department of Economics. [Downloadable!]
  2. Giovanna Devetag & Andreas Ortmann, 2006. "When and Why? A Critical Survey on Coordination Failure in the Laboratory," CEEL Working Papers 0605, Computable and Experimental Economics Laboratory, Department of Economics, University of Trento, Italia. [Downloadable!]
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