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Book Review
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Book Information
Author(s):
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:
- 1.
- R. J. Aumann and M. Perles, A variational problem arising in economics, J. Math. Anal. Appl. 11 (1965), 488-503. MR 31 #6670. MR 182447
- 2.
- R. J. Aumann and L. S. Shapley, Values of non-atomic games. Part I: The axiomatic approach, RM-5468-PR, The Rand Corporation, Santa Monica; also RM-42, The Hebrew University of Jerusalem, 1968. MR 378865
- 3.
- J. C. Harsanyi, A bargaining model for the cooperative n-person game, Contributions to the Theory of Games, vol. 4, Princeton Univ. Press, Princeton, N.J., 1959, pp. 325-355. MR 21 #4062. MR 105320
- 4.
- J. C. Harsanyi, A simplified bargaining model for the n-person cooperative game, Internat. Economic Review 4 (1963), 194-220.
- 5.
- W. Hildenbrand, Core and equilibria of a large economy, Princeton Univ. Press, Princeton, N.J., 1974. MR 389160
- 6.
- J. R. Isbell, Absolute games, Contributions to the Theory of Games, vol. 4, Princeton Univ. Press, Princeton, N.J., 1959, pp. 357-396. MR 24 #B412. MR 134359
- 7.
- J. R. Isbell, A modification of Harsanyi's bargaining model, Bull. Amer. Math. Soc. 66 (1960), 70-73. MR 22 #13315. MR 122591
- 8.
- J. R. Isbell, Contract law and the value of a game, Israel J. Math. 5 (1967), 135-144. MR 39 #7947. MR 246643
- 9.
- W. F. Lucas, The proof that a game may not have a solution, Trans. Amer. Math Soc. 137 (1969), 219-229. MR 38 #5474. MR 237183
- 10.
- J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton Univ. Press, Princeton, N.J., 1944. MR 6, 235. MR 11937
- 11.
- R. Selten, Valuation of n-person games, Advances in Game Theory, Princeton, N.J., 1964, pp. 577-626. MR 29 #1081. MR 163781
- 12.
- L. S. Shapley, A value for n-person games, Contributions to the Theory of Games, vol. 2, Princeton Univ. Press, Princeton, N.J., 1953, pp. 307-317. MR 14, 779. MR 53477
- 13.
- L. S. Shapley, A solution containing an arbitrary closed component, Contributions to the Theory of Games, vol. 4, Princeton Univ. Press, Princeton, N.J., 1959, pp. 87-94. MR 22 #635. MR 109749
- 14.
- L. S. Shapley, Values of large market games: Status of the problem, RM-3957-PR, The Rand Corporation, Santa Monica, 1964.
Additional Information:
Reviewer(s):
J. R.
Isbell
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
Part 1:539-546.
DOI:
10.1090/S0002-9904-1975-13732-3
PII:
S 0002-9904(1975)13732-3
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