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Singular games in bv'NA

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  • Neyman, Abraham

Abstract

Every simple monotonic game in bv'NA is a weighted majority game. Every game v[set membership, variant]bv'NA has a representation where u[set membership, variant]pNA, [mu]i[set membership, variant]NA1 and fi is a sequence of bv' functions with . Moreover, the representation is unique if we require fi to be singular and that for every i[not equal to]j, [mu]i[not equal to][mu]j.

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  • Neyman, Abraham, 2010. "Singular games in bv'NA," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 384-387, July.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:384-387
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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. 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.
    6. 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.
    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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    Game theory Non-atomic games;

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