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Next, we proceed to a joint visualization of an algebraic model (KT-V4), a probability model (theoretical modal choice consistent with KT-V4), and empirical data (the observed choice proportions of HDM, DM1, and DM13), again in 3D.

Now, and for our later visualizations, we concentrate on Gambles A, C, and D from Table 2 because they continue to be particularly informative. Hence, the three coordinates are the gamble pairs (A,C), (A,D), and (C,D). If a decision maker acted deterministically and in accordance with KT-V4, this person would choose A over C 100, A over D 0, and C over D 0 of the time, represented by the point (1,0,0).