P2 Sure-Thing Principle: For all events E and all acts
f
∗
(·),f(·),f
′
(·
)
and
f
′′
(·),(f
∗
(·),E;f
′
(·),∼E)(f(·),E;f
′
(·),∼E
)
if and only if
(
f
∗
(·),E;f
′′
(·)
,
∼
E)(f(·),E;f
′′
(·),∼E
)
.
P3 Eventwise Monotonicity: For all outcomes x
*
,x, all nonnull
25
events E and
all acts f (·), (x
*
,E; f (·),∼E)(x,E; f (·),∼E) if and only if x
*
x.
P4 Weak Comparative Probability: For all events E*, E and all out-
comes
x
∗
≻x,ˆx
∗
≻ˆx,(x
∗
,E
∗
;x,∼E
∗
)(x
∗
,E;x,∼E
)
if and only if
(
ˆx
∗
,E
∗
;ˆx,∼E
∗
)(ˆx
∗
,E;ˆx,∼E
)
.
P5 Non-Degeneracy: There exist outcomes x
*
and x such that x
*
x.
P6 Small Event Continuity: For all ...
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