References
B. O.Koopman, ‘The Bases of Probability’,Bulletin of the American Mathematical Society 46 (1940), 763–774.
C. H.Kraft, J. W.Pratt, and A.Seidenberg, ‘Intuitive Probability on Finite Sets’,Annals of Mathematical Statistics 30 (1959), 408–419.
D. H.Krantz, R. D.Luce, P.Suppes, and A.Tversky,Foundations of Measurement (Vol. 1), Academic Press, New York 1971.
R. D.Luce, ‘Sufficient Conditions for the Existence of a Finitely Additive Probability Measure’,Annals of Mathematical Statistics 38 (1967), 780–786.
L. J.Savage,The Foundations of Statistics, Wiley, New York 1954.
D.Scott, ‘Measurement Models and Linear Inequalities’,Journal of Mathematical Psychology 1 (1964), 233–247.
P.Suppes, ‘The Role of Subjective Probability and Utility in Decision-making’, in J.Neyman (Ed.),Proceedings of the Third Berkeley Symposium of Mathematical Statistics and Probability (Vol. 5), University of California Press, Berkeley 1956.
P.Suppes,Studies in the Methodology and Foundations of Science, Reidel, Dordrecht 1969.
A.Tversky, ‘Additivity, Utility, and Subjective Probability’,Journal of Mathematical Psychology 4 (1967), 175–201.
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The ideas and results contained in this article were first presented at the Stanford Seminar on Foundations of Probability, Winter Quarter, 1976. We have benefited considerably from comments and criticisms of several members of the seminar, especially Thomas Cover.
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Suppes, P., Zanotti, M. Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualitative probability ordering. J Philos Logic 5, 431–438 (1976). https://doi.org/10.1007/BF00649401
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DOI: https://doi.org/10.1007/BF00649401