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We
now take the point of view of the trustee in the dependence network
: so we present a
cognitive theory of trust as a capital. That is to say that if somebody is (potentially) strongly
useful to other agents, but is not trusted, its negotiation power is not high.
As showed in Chapter 3 we call
Degree of Trust
of the agent
Ag
j
for the agent
Ag
i
about the
task
τ
k
(
DoT(Ag
j
Ag
i
τ
k
)
):
DoA
Bj
ik
DoW
Bj
ik
Ag
i
,τ
k
)
Bj
DoT
(
Ag
j
,
=
∗
(10.7)
In the same way we can also define the
self-trust
of the agent
Ag
i
about the task
τ
k
:
DoA
Bi
ik
DoW
Bi
ik
ST
(
Ag
i
,τ
k
)
=
∗
(10.8)
We call the
Objective Trust Capital
of
Ag
i
∈
Agt
about a potential delegable task
τ
k
the function:
l
l
DoA
Bj
ik
DoW
Bj
ik
Ag
i
,τ
k
)
Bj
OTC
(
Ag
i
,τ
k
)
=
∗
=
DoT
(
Ag
j
,
(10.9)
j
=
1
j
=
1
Where
l
is the number of agents (included in the dependence network) who need to delegate
the task
τ
k
. Note that we are calling as objective trust capital the sum of the trustworthiness
that the other agents in the
DN
attribute to
Ag
i
rather than the capital
Ag
i
could deserve on the
basis of his own objective relationships: in other words,
it is referred to the partial (subjective)
points of view of the other agents.
In words, the cumulated trust capital of an agent
Ag
i
with respect to a specific delegable
task
τ
k
, is the sum (all the agents need that specific task in the network dependence) of the
corresponding abilities and willingness believed by each potentially dependent agent.
4
We call the
Subjective Trust Capital
of
Ag
i
∈
Agt
for a potential delegable task
τ
k
the function:
l
Bi
l
Bi
DoA
Bi Bj
ik
Bi Bj
Ag
i
,τ
k
)
Bi Bj
STC
(
Ag
i
,τ
k
)
=
∗
DoW
ik
=
DoT
(
Ag
j
,
(10.10)
j
=
1
j
=
1
Where the apex
B
i
B
j
means 'as
Ag
i
believes is believed by
Ag
j
'. Subjectivity means that both
the network dependence and the believed abilities and willingness are believed by (the point of
view of) the agent
Ag
i
. The subjectivity consists in the fact that both the network dependence
and the believed abilities and willingness are believed by (the point of view of) the agent
Ag
i
(see Figure 10.8A and 10.8B).
Starting from Trust Capital we would like to evaluate its
usable part
. In this sense, we
introduce the
Subjective Usable Trust Capital
of
Ag
i
∈
Agt
for a potential delegable task
τ
k
as:
l
Bi
Ag
i
,τ
k
)
Bi Bj
DoT
(
Ag
j
,
SUTC
(
Ag
i
,τ
k
)
=
(10.11)
1
+
p
kj
Bi
j
=
1
Where the apex
B
i
B
j
means 'what
Ag
i
believes is believed by
Ag
j
' and where
p
kj
Bi
is (following
Ag
i
's belief about the beliefs of
Ag
j
) the number of other agents in the dependence network
4
We might consider in an even more objective way the capital based on the real trustworthiness of
Ag
i
(with respect
to the task) rather than based on the
DoT(Ag
j
Ag
i
τ
k
)
of the various agents
Ag
j
. But the trust capital is not interesting
if it is not in the mind of the potential 'users'.
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