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Noisy equilibrium selection in coordination games

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  • Carlsson, Hans
  • Ganslandt, Mattias

Abstract

We analyse symmetric coordination games à la Bryant (1983) where a number of players simultaneously choose efforts from a compact interval and the lowest effort determines the output of a public good. Assuming that payoffs are concave in the public good and linear in effort, this game has a continuum of Pareto-ranked equilibria. In a noicy variant of the model an error term is added to each player's choice before his effort is determined. An equilibrium of the original model is noise-proof if it can be approximated by equilibria of noisy games with vanishing noise. There is a unique noise-proof equilibrium and, as the noisy games are supermodular, this solution can be derived by an iterated dominance argument. Our results agree with the experimental findings in Van Huyck, Battalio and Beil (1990). We also show that the unperturbed game is a potential game and that the noise-proof equilibrium maximizes the potential.
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Suggested Citation

  • Carlsson, Hans & Ganslandt, Mattias, 1998. "Noisy equilibrium selection in coordination games," Economics Letters, Elsevier, vol. 60(1), pages 23-34, July.
  • Handle: RePEc:eee:ecolet:v:60:y:1998:i:1:p:23-34
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    References listed on IDEAS

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    1. Carlsson, Hans & Dasgupta, Sudipto, 1997. "Noise-Proof Equilibria in Two-Action Signaling Games," Journal of Economic Theory, Elsevier, vol. 77(2), pages 432-460, December.
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    5. 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.
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    7. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    8. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-1496, September.
    9. 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, Oxford University Press, vol. 106(3), pages 885-910.
    10. van Damme, E.E.C. & Carlsson, H., 1993. "Equilibrium selection in stag hunt games," Other publications TiSEM 8951ae88-c6e4-42e6-b253-b, Tilburg University, School of Economics and Management.
    11. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Cited by:

    1. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
    2. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
    3. Bagnoli, Lidia & Negroni, Giorgio, 2013. "The evolution of conventions in minimum effort games," Research in Economics, Elsevier, vol. 67(3), pages 259-277.
    4. Andersson, O. & Argenton, C. & Weibull, J., 2010. "Robustness to Strategic Uncertainty (Revision of DP 2010-70)," Discussion Paper 2010-98, Tilburg University, Center for Economic Research.
    5. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2014. "Robustness to strategic uncertainty," Games and Economic Behavior, Elsevier, vol. 85(C), pages 272-288.
    6. Basu, Kaushik & Weibull, Jörgen W., 2002. "Punctuality - A Cultural Trait as Equilibrium," Working Paper Series 582, Research Institute of Industrial Economics.
    7. Yi, Kang-Oh, 1999. "A Quantal Response Equilibrium Model of Order Statistic Games," University of California at San Diego, Economics Working Paper Series qt4771x1j2, Department of Economics, UC San Diego.
    8. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen, 2010. "Robustness to strategic uncertainty in price competition," SSE/EFI Working Paper Series in Economics and Finance 0726, Stockholm School of Economics, revised 08 Apr 2010.
    9. Geir Asheim & Seung Yoo, 2008. "Coordinating under incomplete information," Review of Economic Design, Springer;Society for Economic Design, vol. 12(4), pages 293-313, December.
    10. Goeree, Jacob K. & Holt, Charles A., 2005. "An experimental study of costly coordination," Games and Economic Behavior, Elsevier, vol. 51(2), pages 349-364, May.
    11. Stephen Morris & Hyun Song Shin, 2001. "Rethinking Multiple Equilibria in Macroeconomic Modeling," NBER Chapters,in: NBER Macroeconomics Annual 2000, Volume 15, pages 139-182 National Bureau of Economic Research, Inc.
    12. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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