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an observable environmental attribute and
v
i
its current value.
•
H
is a currently non-observable attribute called the
state
,with
V
H
being its allowed set of values. One of the allowed value
s
∗
∈
V
H
is the current prevailing state. (Without loss of generality, we can
always assume there is only one non-observable attribute. If there
are more than one such attributes, we can simply define the state
to be a tuple of the hidden attributes. The state is the attribute
that affects the agents' preferences.)
•
(
I
i
) is collection of the agents' experiences, where each
I
i
=(
I
i
,I
i
,...,I
i
)
a collection of the agent
i
's experience rules. Each experience rule
I
i
of agent
i
is of the form
(
a
1
=
v
1
)
∧
(
a
2
=
v
2
)
∧···∧
(
a
k
=
v
k
)
⇒
d
r
where each
a
i
is the name of an environmental variable and
v
i
its
value,
d
r
∈ V
H
is a value of the state. (Each rule represents one
instance of an agent's previous experience in dealing with problems
similar to the current one.)
•
X
is a set of consequences.
•
P
i
is the
i
-th agent's set of preference rules. Each preference rule
has the form:
i
x
{
d
1
,d
2
,...,d
m
}⇒
x
where each
d
i
∈
V
H
denotes a value of the state, and
x
∈
X
and
x
∈
X
are consequences.
Example 3.5
As an example, consider the game in Section 3.2,
where four agents are discussing to form coalitions to either see a
Spielberg's S.F movie or to play tennis. The scenario can be modelled
as a NTU-IU game, as follows.
•
N
=
{
A
1
,A
2
,A
3
,A
4
}
is the set of agents.
•
The evidences
E
in this case are
{
(Director = Spielberg)
∧
(Type = S.F.)
}
.
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