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Nakamura Y. Threshold Models for Comparative Probability on Finite Sets. J Math Psychol. 2000;44(3):353-382doi: 10.1006/jmps.1998.1250.
Nakamura, Y. (2000). Threshold Models for Comparative Probability on Finite Sets. Journal of mathematical psychology, 44(3), 353-382. https://doi.org/10.1006/jmps.1998.1250
Nakamura. "Threshold Models for Comparative Probability on Finite Sets." Journal of mathematical psychology vol. 44,3 (2000): 353-382. doi: https://doi.org/10.1006/jmps.1998.1250
Nakamura Y. Threshold Models for Comparative Probability on Finite Sets. J Math Psychol. 2000 Sep;44(3):353-382. doi: 10.1006/jmps.1998.1250. PMID: 10973776.
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J Math Psychol. 2000 Sep;44(3):353-382. doi: 10.1006/jmps.1998.1250.

Threshold Models for Comparative Probability on Finite Sets.

Journal of mathematical psychology

Nakamura

Affiliations

  1. University of Tsukuba, Tsukuba, Japan

PMID: 10973776 DOI: 10.1006/jmps.1998.1250

Abstract

Let succeeds be a comparative probability relation on the set ℬ(S) of all subsets of a finite state space S. This paper presents and discusses necessary and sufficient axioms for several threshold models of succeeds, whose general representational form yields a probability measure P on ℬ(S) and a bivariate set function Omega>/=0 on ℬ(S)xℬ(S) such that for all A, Binℬ(S), A succeedsB if and only if P(A)>P(B)+Omega(A, B). Several conditions such as skew-monotonicity and additive separability will be imposed on the functional form of Omega. Copyright 2000 Academic Press.

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