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Fuzzy play, matching devices and coordination failures

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  • Herings, P.J.J.

    (Tilburg University, School of Economics and Management)

  • Mauleon, Ana
  • Vannetelbosch, V.J.

    (Tilburg University, School of Economics and Management)

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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Herings, P.J.J. & Mauleon, Ana & Vannetelbosch, V.J., 2004. "Fuzzy play, matching devices and coordination failures," Other publications TiSEM fe0d2a3a-5c9b-497e-a521-3, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:fe0d2a3a-5c9b-497e-a521-39966f5c1ce5
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    References listed on IDEAS

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    1. 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, April.
    2. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521578967.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    5. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    6. 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.
    7. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    8. Vincent J. Vannetelbosch & P. Jean-Jacques Herings, 1999. "Refinements of rationalizability for normal-form games," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(1), pages 53-68.
    9. Rabin Matthew, 1994. "A Model of Pre-game Communication," Journal of Economic Theory, Elsevier, vol. 63(2), pages 370-391, August.
    10. Russell Cooper & Douglas V. DeJong & Robert Forsythe & Thomas W. Ross, 1992. "Communication in Coordination Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 739-771.
    11. Farrell, Joseph, 1988. "Communication, coordination and Nash equilibrium," Economics Letters, Elsevier, vol. 27(3), pages 209-214.
    12. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 525-528.
    13. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    14. Vincent J. Vannetelbosch & P. Jean-Jacques Herings, 1999. "Refinements of rationalizability for normal-form games," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(1), pages 53-68.
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    Cited by:

    1. Herings, P.J.J., 2001. "Coordinating thoughts on coordination failures," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Barry Charles Ezell & Steven P. Bennett & Detlof Von Winterfeldt & John Sokolowski & Andrew J. Collins, 2010. "Probabilistic Risk Analysis and Terrorism Risk," Risk Analysis, John Wiley & Sons, vol. 30(4), pages 575-589, April.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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