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Asymptotically optimal strategies in repeated games with incomplete information

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Abstract

It is known that for repeated zero-sum games with incomplete information the limit of the values of theN-stage game exists asN tends to infinity. In this paper strategies are constructed that guarantee in theN-stage game the limit of values up to an error term\(\frac{K}{{\sqrt N }}.\)

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References

  • Aumann RJ, Maschler M (1966) Game Theoretic Aspects of Gradual Disarmament, Mathematica, Chapter V.

  • Aumann RJ, Maschler M (1967) Repeated Games with Incomplete Information: A Survey of Recent Results. Mathematica, St-116, Chapter III, 287–403.

    Google Scholar 

  • Blackwell D (1956) An Analogue of the Minimax Theorem for Vector Payoffs, Pacific Journal of Mathematics, 65, 1–8.

    Google Scholar 

  • Heuer M (1990): The Role of Vector Payoffs in Repeated Zero-Sum Games with Incomplete Information, Doctoral Dissertation in Mathematics, IMW, Universität Bielefeld.012

  • Kühn HW (1953) Extensive Games and the Problem of Information, Contributions to the Theory of Games, Princeton.

  • Mertens JF, Zamir S (1971/72) The Value of Two-Person Zero-Sum Repeated Games with Lack of Information on Both Sides, International Journal of Game Theory 1, 39–64.

    Google Scholar 

  • Mertens JF, Zamir S (1977) A Duality Theorem on a Pair of Simultaneous Functional Equations, Journal of Mathematical Analysis and Application, 60, 550–558.

    Google Scholar 

  • Mertens JF, Zamir S (1980) Minmax and Maxmin of Repeated Games with Incomplete Information, International Journal of Game Theory 9, 201–215.

    Google Scholar 

  • Rockafellar, RT (1970) Convex Analysis, Princeton University Press.

  • Sorin S (1984) On a Pair of Simultaneous Functional Equations, Journal of Mathematical Analysis and Applications, 98 (1), 296–303.

    Google Scholar 

  • Stearns RE (1967) A Formal Information Concept for Games with Incomplete Information. In Mathematica (1967), St-116, Chapter IV, 405–433.

    Google Scholar 

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Heuer, M. Asymptotically optimal strategies in repeated games with incomplete information. Int J Game Theory 20, 377–392 (1992). https://doi.org/10.1007/BF01271132

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  • DOI: https://doi.org/10.1007/BF01271132

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