Table 6:

Important notations

Notation	Description
d or X	a dose combination
Y	response in term of toxicity
D	set of dose combinations
I and J	number of doses for agent 1 and 2
𝒜d, ℬd and 𝒞d	set of doses above, below and non-ordered with d
P	a scenario, i.e a I × J matrix of bernoulli parameters
c and ℳc	a contour and a minimal set associated to this contour
𝒜c and ℬc	set of dose combinations above and below c
C	set of possible contour in the range of dose combinations
d*	true Maximum Tolerated Dose (MTD)
c*	true Maximum Tolerated Contour (MTC)
Π	distribution on the MTD or the MTC parameter
θ	MTD parameter
γ	MTC parameter
Λ = (Λθ)θ∈D	distributions on the scenarios conditioned by the MTD parameter
Λ = (Λγ)γ∈C	distributions on the scenarios conditioned by the MTC parameter
S, Sθ, Sγ	support of Λ, Λθ and Λγ
${\Lambda }_{\theta }^d$ (or ${\Lambda }_{\gamma }^d$)	marginal at dose combination d