Online appendix for “Investing in a shared supplier in a competitive market: Stochastic capacity case”

نویسندگان

  • Anyan Qi
  • Naveen Jindal
  • Hyun-Soo Ahn
  • Stephen M. Ross
  • Amitabh Sinha
چکیده

 a−c−bq1 2b if a−c−bq1 2b < (0 2 + k2)ξ, (0 2 + k2)ξ if a−c−bq1 2b ≥ (0 2 + k2)ξ. Solving for the intersection of the best response functions q 1(q2) and q ∗ 2(q1), we can obtain the equilibrium order quantities and hence the equilibrium profits shown in Lemma 1. Discussion about when a−c 3b( k0 2 +k2) > 1. We observe that when a−c 3b( k0 2 +k2) > 1, there are two cases. Case 1. When a−c b( 3k0 2 +2k1+k2) ≤ 1, we have the equilibrium order quantity and ex post profit as follows:

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تاریخ انتشار 2015