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A characterization of vector measure games inpNA

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Abstract

We give a complete characterization of games inpNA of the formf o μ (where μ is a vector of finite number of non-atomic probability measures, andf is a real valued function on the range of μ withf(0)=0). Specifically, we show thatf o μ is inpNA iff “f is continuous at μ” (the definition of the latter is given in the paper).

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Authors and Affiliations

  1. J. L. Kellogg School of Management, Northwestern University, 60201, Evanston, IL, USA

    Yair Tauman

Authors
  1. Yair Tauman
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Additional information

This work was supported by National Science Foundation Grant SOC 75-21820-A01 at the Institute for Mathematical Studies in the Social Sciences, Stanford University.

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Tauman, Y. A characterization of vector measure games inpNA . Israel J. Math. 43, 75–96 (1982). https://doi.org/10.1007/BF02761686

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  • DOI: https://doi.org/10.1007/BF02761686

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