Table 4.

Predicted preference patterns according to and for Cash I and Cash II. For each pattern, we provide the corresponding ranking of gambles (from best to worst), and the portion of the algebraic parameter space corresponding to each preference (based on a grid search), up to and rounded to the first significant nonzero digit. The precision and range of our grid search were as follows: : α, γ ∈ [0.01, 1], step size 0.01. : α, γ ∈ [0.001, 0.991], step size 0.01; s ∈ [0.01, 9.96], step size 0.05. When two gambles were assigned numerical values differing by less than 10⁻²⁰, no prediction was made (100 cases of Cash I and 101 cases of Cash II, this occurred in only).

Cash I					Cash II
Predicted Preference Patterns					Predicted Preference Patterns
Vertex	Portion	Ranking	Vertex	Portion	Vertex	Portion	Ranking	Vertex	Portion
KT-v1	0.6	edcba	GE-v1	0.3	KT-V1	0.4	EDCBA	GE-V1	0.2
KT-v2	0.01	decba	GE-v2	0.02			DECBA	GE-V2	0.002
KT-v3	0.009	dceba	GE-v3	0.02			DCEBA	GE-V3	0.002
KT-v4	0.001	cdeba	GE-v4	0.002			CDEBA	GE-V4	0.0003
KT-v5	0.008	cdbea	GE-v5	0.02			DCBEA	GE-V5	0.000007
KT-v6	0.002	cbdea	GE-v6	0.004			CDBEA	GE-V6	0.002
KT-v7	0.006	cbdae	GE-v7	0.02			CBDEA	GE-V7	0.0009
KT-v8	0.0008	bcdae	GE-v8	0.004			EDBCA	GE-V8	0.00002
KT-v9	0.007	bcade	GE-v9	0.03			DBCEA	GE-V9	0.0000005
KT-v10	0.006	bacde	GE-v10	0.03			EBDCA	GE-V10	0.000005
KT-v11	0.003	edcab					EBCDA	GE-V11	0.0000005
KT-v12	0.003	edacb					BDCEA	GE-V12	0.0000005
KT-v13	0.0001	edabc					BECDA	GE-V13	0.000001
KT-v14	0.0001	eadcb					BCEDA	GE-V14	0.0000005
KT-v15	0.003	eadbc					BCDEA	GE-V15	0.00002
KT-v16	0.0003	aedbc					CBDAE	GE-V16	0.001
KT-v17	0.004	aebdc					BCDAE	GE-V17	0.0008
KT-v18	0.0001	aebcd					BCAED	GE-V18	0.0000005
KT-v19	0.0002	abedc					BCADE	GE-V19	0.002
KT-v20	0.004	abecd					EDBAC	GE-V20	0.000008
KT-v21	0.005	abced					EBDAC	GE-V21	0.000002
KT-v22	0.3	abcde	GE-v11	0.5			BEDAC	GE-V22	0.0000005
							BDAEC	GE-V23	0.0000005
							EBADC	GE-V24	0.000004
							BEADC	GE-V25	0.0000005
							BEACD	GE-V26	0.0000005
							BAEDC	GE-V27	0.0000005
							BAECD	GE-V28	0.000005
							BACED	GE-V29	0.000003
							BACDE	GE-V30	0.003
					KT-V2	0.005	EDCAB	GE-V31	0.0009
					KT-V3	0.006	EDACB	GE-V32	0.001
					KT-V4	0.0005	EDABC	GE-V33	0.00007
					KT-V5	0.0002	EADCB	GE-V34	0.000007
					KT-V6	0.007	EADBC	GE-V35	0.001
							EABDC	GE-V36	0.00002
					KT-V7	0.0005	AEDBC	GE-V37	0.00009
					KT-V8	0.008	AEBDC	GE-V38	0.001
					KT-V9	0.0007	ABEDC	GE-V39	0.0002
							ABDCE	GE-V40	0.0000005
					KT-V10	0.009	ABECD	GE-V41	0.001
					KT-V11	0.01	ABCED	GE-V42	0.001
					KT-V12	0.6	ABCDE	GE-V43	0.8