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Noisy equilibrium selection in coordination games

  • Carlsson, Hans
  • Ganslandt, Mattias

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/ecolet

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  1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  2. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  3. J. B. Van Huyck & R. C. Battalio & R. O. Beil, 2010. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 661465000000000393, David K. Levine.
  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. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-43, January.
  6. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-96, September.
  7. 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.
  8. 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.
  9. 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, June.
  10. 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.
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