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0.15
T
2
(
F
)
x
2
F
x
T
(
F
)
a
2
= 0.276
0.07
x
1
0.25
0.6
(a)
0.15
T
2
(
F
)
x
2
F
T
3
(
F
)
x
T
(
F
)
a
2 = 0.2965
x
1
0.07
0.25
0.6
(b)
Fig. 3.9
Example 3.4; discrete time oligopoly with isoelastic demand and linear cost functions.
Global dynamics in the semi-symmetric case. Parameters are the same as in Fig. 3.8. (
a
)Asa
2
increases further to a
2
' 0:2765 the pieces of the chaotic attractor merge into a 2-cyclic chaotic
attractor. (
b
)Ata
2
' 0:2965 a unique large chaotic attractor emerges
s
X
j
a
j
.1
C
r
j
/
C
D
0;
1
j D1
where we assume again that
j
ยค
0 for all j, a
k
>0for all firms, and
a
1
.1
C
r
1
/>a
2
.1
C
r
2
/>:::>a
s
.1
C
r
s
/:
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