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Singular Games in bv'NA

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  • Abraham Neyman

Abstract

Every simple monotonic game in bv'NA is a weighted majority game. Every game v \in bv'NA has a representation v=u+\sum_{i=1}^{\infty}f_i o \mu_i where u \in pNA, \mu_i \in NA^1 and f_i is a sequence of bv' functions with \sum_{i=1}^{\infty}||f_i|| j, \mu_i \mu_j.

Suggested Citation

  • Abraham Neyman, 2001. "Singular Games in bv'NA," Discussion Paper Series dp262, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp262
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    References listed on IDEAS

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    1. Jean-Francois Mertens & Abraham Neyman, 2001. "A Value on 'AN," Discussion Paper Series dp276, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
      • MERTENS, Jean-François & NEYMAN, Abraham, 2003. "A value on 'AN," LIDAM Reprints CORE 1739, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Abraham Neyman, 1981. "Singular Games have Asymptotic Values," Mathematics of Operations Research, INFORMS, vol. 6(2), pages 205-212, May.
    3. J. W. Milnor & L. S. Shapley, 1978. "Values of Large Games II: Oceanic Games," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 290-307, November.
    4. N. Z. Shapiro & L. S. Shapley, 1978. "Values of Large Games, I: A Limit Theorem," Mathematics of Operations Research, INFORMS, vol. 3(1), pages 1-9, February.
    5. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    6. Jean-François Mertens & Abraham Neyman, 2003. "A value on ′AN," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 109-120, December.
    7. Abraham Neyman, 1988. "Weighted Majority Games Have Asymptotic Value," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 556-580, November.
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    Cited by:

    1. Abraham Neyman & Rann Smorodinsky, 2003. "Asymptotic Values of Vector Measure Games," Discussion Paper Series dp344, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.

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