Dual Random Utility Maximisation

Appendices
A Independence of the axioms - Theorem 1
None of the stochastic choice functions below is a dRUM since there are more than two
values in the support.
A.1: Regularity and Constant Expansion, but not Negative Expansion
{a, b, c} {a, b} {a, c} {b, c}
a
1
3
1
2
1
3
−
b 0
1
2
−
1
3
c
2
3
−
2
3
2
3
Table 3:
A.2: Regularity and Negative Expansion, but not Constant Expansion
{a, b, c} {a, b} {a, c} {b, c}
a
1
3
1
2
1
2
−
b
1
3
1
2
−
1
2
c
1
3
−
1
2
1
2
Table 4:
A.3: Constant Expansion and Negative Expansion, but not Regularity
{a, b, c} {a, b} {a, c} {b, c}
a 0 0
1
2
−
b 1 1 −
2
3
c 0 −
1
2
1
3
Table 5:
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