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Fig. 4. Probability models for the economic recession event, the messy event, the happy
citizen event and the wrong policy event
An output of a neuron is computed as follows:
o ( r )
j
= f ( s ( r )
j
)
(1)
K ( r− 1)
s ( r )
j
w ( r )
j,i o ( r )
+ b ( r )
j
= ʱ
(2)
i
i
1
1+ e −x
f ( x )=
(3)
1)-th layer, o ( r− 1)
i
where K ( r− 1) is the number of neurons of the ( r
is the i -th
1)-th layer, w ( r )
j,i
output of the ( r
is the weight from the i -thneuronatthe
1)-th layer to the j -thneuronatthe( r )-th layer, ʱ is a scalar and b ( r )
j
( r
is
the j -th bias of the r -th layer. Note that:
f ( x )= f ( x )
(1
f ( x )) .
(4)
In the third step, we calculate the expectation achievement level of the player
based on the player's current achievement. This is done by computing the differ-
ence between the outputs of the neural network and the four default threshold
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