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Table 2 Prices and gross profits when X 0 and X 1 are independent and follow the distribution of a 0+G with GGa(α,β)

From: Optimal two-stage pricing strategies from the seller’s perspective under the uncertainty of buyer’s decisions

α

β

σ G

Π(p 0,max,p 1,max)

p 0,max

p 1,max

\(\Pi (p^{\max }_{0},p^{\max }_{1})\)

\(p^{\max }_{0}\)

\(p^{\max }_{1}\)

100

2

5

238.3595

238.3686

238.3686

244.1578

247.0367

238.3651

25

0.5

10

230.0839

230.1152

230.1152

239.2700

244.9522

230.1226

6.25

0.125

20

217.3058

217.3732

217.3732

230.9968

242.0798

217.3781

2.78

0.056

30

207.5201

207.5638

207.5638

224.4556

241.0434

207.5595