Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals

Jäger G, Koch-Metzger L, Riedel F (2008) Working Papers. Institute of Mathematical Economics; 420.
Bielefeld: Universität Bielefeld.

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Abstract / Bemerkung
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 convex categories. We give a full characterization of the strict Nash equilibria of this game by representing these categories by 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 categories and numerically illustrate stability of some Voronoi languages with large message spaces and non-uniformly distributed types.
Stichworte
Communication game; Dynamic stability; Cheap talk; Voronoi tesselation; Signaling game
Erscheinungsjahr
2008
Band
420
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2316258

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Jäger G, Koch-Metzger L, Riedel F. Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals. Working Papers. Institute of Mathematical Economics. Vol 420. Bielefeld: Universität Bielefeld; 2008.
Jäger, G., Koch-Metzger, L., & Riedel, F. (2008). Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals (Working Papers. Institute of Mathematical Economics, 420). Bielefeld: Universität Bielefeld.
Jäger, G., Koch-Metzger, L., and Riedel, F. (2008). Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals. Working Papers. Institute of Mathematical Economics, 420, Bielefeld: Universität Bielefeld.
Jäger, G., Koch-Metzger, L., & Riedel, F., 2008. Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals, Working Papers. Institute of Mathematical Economics, no.420, Bielefeld: Universität Bielefeld.
G. Jäger, L. Koch-Metzger, and F. Riedel, Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals, Working Papers. Institute of Mathematical Economics, vol. 420, Bielefeld: Universität Bielefeld, 2008.
Jäger, G., Koch-Metzger, L., Riedel, F.: Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals. Working Papers. Institute of Mathematical Economics, 420. Universität Bielefeld, Bielefeld (2008).
Jäger, Gerhard, Koch-Metzger, Lars, and Riedel, Frank. Voronoi languages. Equilibria in cheap-talk games with high-dimensional types and few signals. Bielefeld: Universität Bielefeld, 2008. Working Papers. Institute of Mathematical Economics. 420.
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