Axioms for the averaging and adding representations of functional measurement. - R. Duncan Luce (Math. Soc. Sci., 1981)

Separable and additive representations of binary gambles of gains. - R. Duncan Luce; A. A. J. Marley (Math. Soc. Sci., 2000)

Entropy-Related Measures of the Utility of Gambling. - R. Duncan Luce; Anthony A. J. Marley; Che Tat Ng (The Mathematics of Preference, Choice and Order, 2009)