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Approachability with Discounting

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  • Carmona, G.
  • Sabourian, H.

Abstract

We establish a version of Blackwell's (1956) approachability result with discounting. Our main result shows that, for convex sets, our notion of approachability with discounting is equivalent to Blackwell's (1956) approachability. Our proofs are based on a concentration result for probability measures and on the minmax theorem for two-person, zero-sum games.

Suggested Citation

  • Carmona, G. & Sabourian, H., 2021. "Approachability with Discounting," Cambridge Working Papers in Economics 2124, Faculty of Economics, University of Cambridge.
    • Handle: RePEc:cam:camdae:2124
    Note: hs102
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    File URL: http://www.econ.cam.ac.uk/research-files/repec/cam/pdf/cwpe2124.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Approachability; Repeated Games;

    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
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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