A 2-Person Game with Lack of Information on 1½ Sides

@article{Sorin1985A2G,
  title={A 2-Person Game with Lack of Information on 1½ Sides},
  author={Sylvain Sorin and Shmuel Zamir},
  journal={Math. Oper. Res.},
  year={1985},
  volume={10},
  pages={17-23}
}
We consider a repeated 2-person 0-sum game with incomplete information about the pay-off matrix. Player I (maximizer) knows the real pay-off matrix but he is uncertain about the beliefs of his opponent. We show that in this case the Aumann-Maschler results on incomplete information on one side no longer hold. In particular such a game will not have a value in general, in spite of the fact that one player is fully informed about the state of nature. 

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The Value of Two-Person

  • J. F. Mertens, S. Zamir
  • 1971

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