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In-Depth Information
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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