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On solutions of Bayesian games

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Abstract

The theory of Bayesian games, as developped by W. Böge, is axiomatically treated. A direct access to the system of complete reflections is shown. Solutions for these games are defined and characterizations for their existence are given.

Concrete situations are investigated for the case of (2,2)-games.

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References

  • Armbruster, W.: Bayesianische Gleichgewichtspunkte. Heidelberg 1975.

  • -: Spiele mit unbekannten Nutzenfunktionen und ihre Gleichgewichtspunkte. Heidelberg 1978.

  • Böge, W.: Gedanken über die Angewandte Mathematik. Mathematiker über die Mathematik. Hrsg. v. M. Otte. Heidelberg 1974, 289–328.

  • Dieses, H., andJ. Peichl: Spiele mit unbekannten Nutzenfunktionen. Heidelberg 1971, 1977.

  • Eisele, Th.: On the uniqueness of preimages of measures. Conference on measure theory, Oberwolfach 1975, LNM 541. Berlin-Heidelberg-New York 1976.

  • Rabussean, R., andW. Reich: Entscheidung einer Person unter Unsicherheit. Heidelberg 1972.

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Authors and Affiliations

  1. Institut für angewandte Mathematik, Universität Heidelberg, D-6900, Heidelberg

    W. Böge &  Th. Eisele

Authors
  1. W. Böge
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  2. Th. Eisele
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Böge, W., Eisele, T. On solutions of Bayesian games. Int J Game Theory 8, 193–215 (1979). https://doi.org/10.1007/BF01766706

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  • DOI: https://doi.org/10.1007/BF01766706

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