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Some Condition for Scalar and Vector Measure Games to Be Lipschitz

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  • F. Centrone
  • A. Martellotti

Abstract

We provide a characterization for vector measure games in , with vector of nonatomic probability measures, analogous to the one of Tauman for games in , and also provide a necessary and sufficient condition for a particular class of vector measure games to belong to .

Suggested Citation

  • F. Centrone & A. Martellotti, 2014. "Some Condition for Scalar and Vector Measure Games to Be Lipschitz," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-10, October.
    • Handle: RePEc:hin:jijmms:849685
    DOI: 10.1155/2014/849685
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    References listed on IDEAS

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    1. Neyman, Abraham, 2002. "Values of games with infinitely many players," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 56, pages 2121-2167, Elsevier.
    2. F. Centrone & A. Martellotti, 2014. "The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, March.
    3. Milchtaich, Igal, 1998. "Vector Measure Games Based on Measures with Values in an Infinite Dimensional Vector Space," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 25-46, July.
    4. Dov Monderer, 1990. "A Milnor Condition for Nonatomic Lipschitz Games and Its Applications," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 714-723, November.
    5. TAUMAN, Yair, 1982. "A characterization of vector measure games in pNA," LIDAM Reprints CORE 495, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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