Table 2. Subgame Perfect Equilibrium in the Mixed Oligopsony
|
Pre-innovation |
w |
4t-12t2ψ+(32t2ψ2-8tψ-3) pC+4tψpI |
|
Stage (Stage 1) |
wC(1) |
( 4 tψ + 1)(8tψ - 3) |
|
w |
t-4t2ψ+(4tψ-3) pC+4tψpI | |
|
wI(1) |
8 tψ - 3 | |
|
8tψ[3tψ - 1 + ψ(pc - Pi )] | ||
|
xC(1) |
( 4 tψ + 1)(8tψ - 3) | |
|
8t2ψ2+4tψ-3+8tψ2(pI-pC) | ||
|
xI(1) |
(4tψ +1)(8tψ - 3) | |
|
Innovation |
г* |
8t[3tψ - 1 + ψ(pc - Pi )] |
|
Stage (Stage 2) |
rC |
( 4 tψ +1)(8 tψ - 3) |
|
г* |
t(8tψ - 5) + [(8tψ + 3)(Pi - Pc )] | |
|
rI |
( 4 tψ +1)(8 tψ - 3) t(32tψ -13) + 3(pi - pc ) | |
|
rT |
( 4 tψ +1)(8 tψ - 3) | |
|
Post-innovation |
_ 8t[3tψ - 1 + ψ(pc - Pi )] | |
|
Stage (Stage 3) |
wC(3) |
Pc (4tψ +1)(8tψ - 3) |
|
w |
-5t +18t2ψ-16t3ψ3+ (16t2ψ2-2tψ-3) pc +2tψ(8tψ-1) pi | |
|
I(3) |
( 4 tψ +1)(8 tψ - 3) | |
|
x |
(8tψ + 3)[3tψ - 1 + ψ(pc - Pi )] | |
|
xC(3) |
( 4 tψ +1)(8 tψ - 3) | |
|
ψ[t(8tψ - 5) + (8tψ + 3)(Pi - Pc )] | ||
|
xI(3) |
( 4 tψ + 1)(8tψ - 3) |
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