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Table 4 Prices and profits for various holding cost c 1 values when the bidding prices 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,c,max) p 0,max p 1,c,max \(\Pi (p^{\max }_{0,c},p^{\max }_{1,c})\) \(p^{\max }_{0,c}\) \(p^{\max }_{1,c}\)
c 1=20 100 2 5 238.2367 238.3686 238.5186 241.0633 243.3410 238.5186
  25 0.5 10 229.8538 230.1152 230.4159 234.9445 239.6038 230.4159
  6.25 0.125 20 216.9603 217.3732 217.9019 225.1370 234.1515 217.9019
  2.78 0.056 30 207.2347 207.5638 208.1217 217.2595 230.1206 208.1216
c 1=100 100 2 5 237.7470 238.3686 239.3381 238.2509 239.9507 239.3381
  25 0.5 10 228.9377 230.1152 232.1152 229.8364 233.0915 232.1152
  6.25 0.125 20 215.5916 217.3732 221.1499 216.9273 222.2088 221.1500
  2.78 0.056 30 206.1066 207.5638 212.1154 207.4254 212.7300 212.1154
c 1=150 100 2 5 237.4428 238.3686 240.2109 237.6034 239.1895 240.2109
  25 0.5 10 228.3730 230.1152 234.0368 228.6428 231.6018 234.0368
  6.25 0.125 20 214.7622 217.3732 225.3874 215.1202 219.6026 225.3874
  2.78 0.056 30 205.4343 207.5638 218.7960 205.7393 209.6705 218.7952