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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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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 60 (1998)
Issue (Month): 1 (July)
Pages: 23-34

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Handle: RePEc:eee:ecolet:v:60:y:1998:i:1:p:23-34

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References

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  1. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-96, September.
  2. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, January.
  3. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1991. "Strategic Uncertainty, Equilibrium Selection, and Coordination Failure in Average Opinion Games," The Quarterly Journal of Economics, MIT Press, vol. 106(3), pages 885-910, August.
  4. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  5. John B Van Huyck & Raymond C Battalio & Richard O Beil, 1997. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 1225, David K. Levine.
  6. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-43, January.
  7. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August.
  8. 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, January.
  9. 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.
  10. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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Citations

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Cited by:
  1. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2010. "Strategic Thinking," Levine's Working Paper Archive 661465000000001148, David K. Levine.
  2. Stephen Morris & Hyun Song Shin, 2000. "Rethinking Multiple Equilibria in Macroeconomic Modelling," Cowles Foundation Discussion Papers 1260, Cowles Foundation for Research in Economics, Yale University.
  3. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2001.
  4. Asheim, Geir B. & Yoo, Seung Han, 2007. "Coordinating under incomplete information," Memorandum 22/2007, Oslo University, Department of Economics.
  5. Basu, Kaushik & Weibull, Jörgen W., 2002. "Punctuality - A Cultural Trait as Equilibrium," Working Paper Series 582, Research Institute of Industrial Economics.
  6. 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.
  7. Charles A. Holt & Jacob K. Goeree, . "An Experimental Study of Costly Coordination," Virginia Economics Online Papers 326, University of Virginia, Department of Economics.
  8. 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.
  9. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen W., 2012. "Robustness to Strategic Uncertainty," Working Paper Series 910, Research Institute of Industrial Economics.
  10. Andersson, Ola & Argenton, Cédric & Weibull, Jörgen, 2010. "Robustness to strategic uncertainty in price competition," Working Paper Series in Economics and Finance 0726, Stockholm School of Economics, revised 08 Apr 2010.
  11. Bagnoli, Lidia & Negroni, Giorgio, 2013. "The evolution of conventions in minimum effort games," Research in Economics, Elsevier, vol. 67(3), pages 259-277.

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