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An existence theorem for abstract stable sets
Published online by Cambridge University Press: 09 April 2009
Abstract
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We provide an existence theorem for stable sets which is equivalent to Zorn's lemma and study the connections between the unique stable set for majorization and the stable sets for the dominance relation.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 51 , Issue 3 , December 1991 , pp. 468 - 472
- Copyright
- Copyright © Australian Mathematical Society 1991
References
[1]Chang, C., ‘Absorbing set for n-Person Games’, Z. Oper. Res. Ser. A 31 (1987), 15–29.Google Scholar
[2]Gillies, D. B., Solutions to general non-zero sum games, Ann. of Math. Studies 40, Princeton University Press, Princeton, N. J., 1959, 47–80.Google Scholar
[3]Lucas, W. F., ‘A game with no solution’, Bull. Amer. Math. Soc. (N.S.) 74 (1968), 237–239.CrossRefGoogle Scholar
[4]Lucas, W. F., ‘The proof that a game may not have solution’, Trans. Amer. Math. Soc. 137 (1969), 219–229.CrossRefGoogle Scholar
[5]Lucas, W. F., ‘Some recent developments in n-person game theory’ SIAM Rev. 13 (1971), 491–523.CrossRefGoogle Scholar
[7]von Neumann, J. and Morgenstern, O., Games and economic behavior, (3rd. edition, Princeton Press, 1953).Google Scholar
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