Consider the "Hybrid Model" described in lecture 3.4, with m=10. Let us compare the cases of a=0.8 and a=0.2.
At date t=10,000, consider a node born at date i=20 and a node born at date i=9999. Recall that the approximation of the expected degree at time t of a node born at time i is (m+2am/(1−a))⋅(t/i)(1−a)/2−2am/(1−a).
Which option makes the following statement correct?
At date t=10,000,
a node born at date i=9,999 has a --------- expected degree with a=0.8 than with a=0.2; and
a node born at date i=20 has a --------- expected degree with a=0.8 than with a=0.2.
higher; higher
higher; lower
lower; higher
lower; lower