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The evolution of Horn's rule

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  • K. de Jaegher

Abstract

Horn’s rule says that messages can be kept ambiguous if only a single interpretation is plausible. Speakers only perform costly disambiguation to convey surprising information. This paper shows that, while noncooperative game theory cannot justify Horn’s rule, evolutionary game theory can. In order to model the evolution of signalling, the pooling equilibrium needs to be one’s starting point. But in such an equilibrium, the plausible interpretation is made, and the receiver is therefore already predisposed to interpret absence of a signal as referring to a plausible event. From there on, a marked signal referring to an implausible event can evolve. At the same time, the paper identifies an exception to Horn’s rule. If giving a plausible interpretation for an implausible event is very costly, then in the pooling equilibrium the implausible interpretation is always made. In this exceptional case, only an inefficient separating equilibrium disobeying Horn’s rule can evolve.

Suggested Citation

  • K. de Jaegher, 2007. "The evolution of Horn's rule," Working Papers 07-12, Utrecht School of Economics.
  • Handle: RePEc:use:tkiwps:0712
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    File URL: https://dspace.library.uu.nl/bitstream/handle/1874/31469/07-12.pdf
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    References listed on IDEAS

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    1. Robert A. Mundell & Paul J. Zak, 2005. "Introduction," Chapters,in: International Monetary Policy after the Euro, chapter 1 Edward Elgar Publishing.
    2. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 179-221.
    3. Bénédicte Vidaillet & V. D'Estaintot & P. Abécassis, 2005. "Introduction," Post-Print hal-00287137, HAL.
    4. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    5. Karl H. Schlag & Dieter Balkenborg, 2001. "Evolutionarily stable sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 571-595.
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    Cited by:

    1. K.J.M. De Jaegher & R. van Rooij, 2011. "Game-theoretic pragmatics under conflicting and common interests," Working Papers 11-25, Utrecht School of Economics.

    More about this item

    Keywords

    Horn’s Rule; Signalling; Evolutionary Game Theory; Evolutionary Drift; Pragmatics;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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