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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1936-881X(e) ISSN 0002-9904(p)
     

The independence of game theory of utility theory

Author(s): Bezalel Peleg
Journal: Bull. Amer. Math. Soc. 72 (1966), 995-999.
MathSciNet review: 0215623
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References | Additional information

References:

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J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton Univ. Press, Princeton, N. J., 1943, 3rd ed., 1953.
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J. F. Nash, Non-cooperative games, Ann. of Math. 54 (1951), 286-295. MR 43432
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R. J. Aumann, Utility theory without the completeness axiom, Econometrica 30 (1962), 445-462.
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B. Peleg, Equilibrium points for open acyclic relations, Canad. J. Math. (to appear). MR 209017
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M. Hausner, Multidimensional utilities, Decision processes, Wiley, New York, 1954, pp. 167-180.
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R. D. Luce and H. Raiffa, Games and decisions, New York, Wiley, 1957. MR 87572
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R. J. Aumann and B. Peleg, von Neumann-Morgenstern solutions to co-operative games without side payments, Bull. Amer. Math. Soc. 66 (1960), 173-179. MR 120045
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L. S. Shapley and M. Shubik, The core of an economy with nonconvex preferences, The Rand Corporation, Santa Monica, California, R-M=3518-PR, 1963.
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R. J. Aumann and M. Maschler, The bargaining set for cooperative games, Advances in Game Theory, Princeton Univ. Press, Princeton, N. J., 1964, pp. 443-476. MR 176842
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L. S. Shapley, A value for n-person games, Contributions to the Theory of Games II, Princeton Univ. Press, Princeton, N. J., 1953, pp. 307-318. MR 53477
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M. Davis and M. Maschler, The kernel of a cooperative game, Econometric Research Program R-M 58, Princeton University, Princeton, N. J., 1963.
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G. Debreu and H. Scarf, A limit theorem on the core of an economy, International Economic Review, 4 (1963), 235-246.
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R. J. Aumann, Markets with a continuum of traders, Econometrica 32 (1964), 39-50. MR 172689


Additional Information:

DOI: 10.1090/S0002-9904-1966-11615-4
PII: S 0002-9904(1966)11615-4


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