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Goal
Delegated
Adopted
'
PLAN
1
action
action
action
Y
X
Figure 7.14
Over-help
higher level task (within the general delegator's intended plan) compared with the delegated
task.
An example for this case is when
Ag
1
delegates
Ag
2
to cook 'spaghetti with pesto' but
Ag
2
prepares the whole dinner.
Critical help
It is the case in which the
delegee provides a qualitatively different action/help than expected
(what has been delegated). Let us analyze some subcases:
Simple critical help
Adopts
(
Ag
2
Ag
1
τ
x
)
∧
∈
α
x
)
g
R
(
(7.11)
with
α
x
,g)
; the delegee achieves the goal(s) of the delegated plan/action, but it changes
that plan/action (Figure 7.15). An example of
Simple Critical help
is when
Ag
1
delegates
Ag
2
to cook 'spaghetti with pesto' but
Ag
2
has already bought cooked 'spaghetti with pesto' (he
changes his own actions but the final result of them is supposed to be the same).
Critical overhelp
τ
x
=
(
α
α
1
)
OR
(
α
≡
α
1
))
(7.12)
Adopts
(
Ag
2
Ag
1
τ
x
)
∧
g
1
∈
R
(
α
x
)
∧
Dom
-
c
(
α
1
α
)
∧
(
Dom
-
c
(
with
α
x
(see Figure 7.16); the
delegee implements both a simple critical help and an extension of help (it chooses a task that
τ
1
=
(
α
1
,g
1
)
τ
x
=
(
α
x
,g
1
), R(
α
x
)
the set of results produced by
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