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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1566765
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: R. J. Aumann and L. S. Shapley
Title: Values of non-atomic games
Additional book information: Princeton University Press, Princeton, New Jersey, 1974, xi+333 pp., $14.50.

References [Enhancements On Off] (What's this?)

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  • R. J. Aumann and L. S. Shapley, Values of non-atomic games, Princeton University Press, Princeton, N.J., 1974. A Rand Corporation Research Study. MR 0378865
  • John C. Harsanyi, A bargaining model for the cooperative $n$-person game, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 325–355. MR 0105320
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    J. C. Harsanyi, A simplified bargaining model for the n-person cooperative game, Internat. Economic Review 4 (1963), 194-220.
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  • J. R. Isbell, Absolute games, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 357–396. MR 0134359
  • J. R. Isbell, A modification of Harsanyi’s bargaining model, Bull. Amer. Math. Soc. 66 (1960), 70–73. MR 122591, DOI 10.1090/S0002-9904-1960-10398-9
  • John R. Isbell, Contract law and the value of a game, Israel J. Math. 5 (1967), 135–144. MR 246643, DOI 10.1007/BF02771099
  • William F. Lucas, The proof that a game may not have a solution, Trans. Amer. Math. Soc. 137 (1969), 219–229. MR 237183, DOI 10.1090/S0002-9947-1969-0237183-X
  • John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, N.J., 1944. MR 0011937
  • Reinhard Selten, Valuation of $n$-person games, Advances in Game Theory, Princeton Univ. Press, Princeton, N.J., 1964, pp. 577–626. MR 0163781
  • L. S. Shapley, A value for $n$-person games, Contributions to the theory of games, vol. 2, Annals of Mathematics Studies, no. 28, Princeton University Press, Princeton, N.J., 1953, pp. 307–317. MR 0053477
  • L. S. Shapley, A solution containing an arbitrary closed component, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 87–93. MR 0109749
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    L. S. Shapley, Values of large market games: Status of the problem, RM-3957-PR, The Rand Corporation, Santa Monica, 1964.
    Review Information:

    Reviewer: J. R. Isbell
    Journal: Bull. Amer. Math. Soc. 81 (1975), 539-546
    DOI: https://doi.org/10.1090/S0002-9904-1975-13732-3