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Delegation
DoT
XY
=
trustworthiness(Y )
+
X
Y
Trustworthiness (Y ) = z +
with
positive or negative
DoT'
XY
X
Figure 6.7
Changed Degree of Trust anticipated in strong-delegation. (Reproduced with kind permis-
sion of Springer Science+Business Media
C
2001)
6.3.3 Anticipated Effects: A Planned Dynamics
This is the case in which the delegating agent
X
takes into account the possible effects of its
'strong delegation' and of the act of trusting (which becomes per se a 'signal'; Section 2.2.7)
on
Y
's trustworthiness, in her decision, before she performs the delegation action. In this way,
X
changes her degree of trust in
Y(DoT
XY
τ
)
before the delegation and on the basis of this her
own action (Figure 6.7).
We analyze two cases:
i) the new degree of trust (
DoT'
XY
τ
) is greater than the old one (
DoT
XY
τ
):
DoT'
XY
τ
>
DoT
XY
τ
;
ii) the new degree of trust is lesser than the old one:
DoT'
XY
τ
<
DoT
XY
τ
.
) we can analyze the various cases by
crossing the change of the
DoT
with the values of the threshold.
In other words, before performing a delegation action, an agent
X
could evaluate the (positive
or negative) influence that its delegation will have on
Y
's trustworthiness and if this influence
is relevant for either overcoming or undergoing the minimum level for delegating. In Table
6.2, all the possible situations and the consequent decisions of
X
are considered.
Introducing a minimum threshold to delegate (
σ
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