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Voronoi languages

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  • Jäger, Gerhard
  • Metzger, Lars P.
  • Riedel, Frank

Abstract

We study a communication game of common interest in which the sender observes one of infinite types and sends one of finite messages which is interpreted by the receiver. In equilibrium there is no full separation but types are clustered into contiguous cells. We give a full characterization of the strict Nash equilibria of this game as Voronoi languages. As the strategy set is infinite static stability concepts for finite games such as ESS are no longer sufficient for Lyapunov stability in the replicator dynamics. We give examples of unstable strict Nash equilibria and stable inefficient Voronoi languages. We derive efficient Voronoi languages with a large number of words and numerically illustrate stability of some Voronoi languages with large message spaces and non-uniformly distributed types.

Suggested Citation

  • Jäger, Gerhard & Metzger, Lars P. & Riedel, Frank, 2011. "Voronoi languages," Games and Economic Behavior, Elsevier, vol. 73(2), pages 517-537.
    • Handle: RePEc:eee:gamebe:v:73:y:2011:i:2:p:517-537
    DOI: 10.1016/j.geb.2011.03.008
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    More about this item

    Keywords

    Cheap talk; Signaling game; Communication game; Dynamic stability; Voronoi tessellation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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