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Fuzzy Play, Matching Devices and Coordination Failures

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Author Info
Herings,P. Jean-Jacques
Mauleon,Ana
Vannetelbosch,Vincent (METEOR)

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Abstract

We revisit n-player coordination games with Pareto-ranked Nash equilibria. The novelty is that we introduce fuzzy play and a matching device, where each player does not choose which pure strategy to play, but instead chooses a nonempty subset of his strategy set that he submits to the matching device. The matching device is a very simple one. It only selects a match if possible, and it selects randomly some strategy belonging to the strategy set sent by each player otherwise. That is, it does not impose that the best alternatives are matched. Using the concepts of perfect Nash equilibrium and of trembling-hand perfect rationalizability, we show that players coordinate directly on the Pareto optimal outcome. This implies that they neither use the option of fuzzy play, nor make use of the matching device.

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Publisher Info
Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 010.

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Date of creation: 2001
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Handle: RePEc:dgr:umamet:2001010

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Keywords: mathematical economics and econometrics

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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. Rabin Matthew, 1994. "A Model of Pre-game Communication," Journal of Economic Theory, Elsevier, vol. 63(2), pages 370-391, August. [Downloadable!] (restricted)
  2. Cooper, Russell, et al, 1992. "Communication in Coordination Games," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 739-71, May. [Downloadable!] (restricted)
  3. Cooper, R. & Dejong, D.V. & Forsythe, R. & Ross, T.W., 1989. "Communication In Coordination Games," Carleton Industrial Organization Research Unit (CIORU) 89-07, Carleton University, Department of Economics.
  4. 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. [Downloadable!] (restricted)
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  5. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July. [Downloadable!] (restricted)
  6. 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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  7. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  9. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September. [Downloadable!] (restricted)
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  1. Herings,P. Jean-Jacques, 2001. "Coordinating Thoughts on Coordination Failures," Research Memoranda 018, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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