Asymmetric Bertrand-Edgeworth-Chamberlin Competition with Linear Demand: A Pediatric Vaccine Pricing Model

Published Online:https://doi.org/10.1287/serv.2016.0129

References

  • Behzad B, Jacobson S, Sewell E (2012) Pricing strategies for combination pediatric vaccines based on the lowest overall cost formulary. Expert Rev. Vaccines 11(10):1189–1197.CrossrefGoogle Scholar
  • Behzad B, Robbins MJ, Jacobson SH (2015) A symmetric capacity-constrained differentiated oligopoly model for the United States pediatric vaccine market with linear demand. IIE Trans. 47(11):1252–1266.CrossrefGoogle Scholar
  • Benassy JP (1989) Market size and substitutability in imperfect competition: A Bertrand-Edgeworth-Chamberlin model. Rev. Econom. Stud. 56(2):217–234.CrossrefGoogle Scholar
  • Bertrand J (1883) Review of “Theorie Mathematique de la Richesse Sociale” by Leon Walras and “Recherches sur les Principes Mathematiques de la Theorie des Richesses” by Augustin Cournot. J. des Savants 67:499–508.Google Scholar
  • Bonanno G, Zeeman CE (1985) Limited knowledge of demand and oligopoly equilibria. J. Econom. Theory 35(2):276–283.CrossrefGoogle Scholar
  • Canoy M (1996) Product differentiation in a Bertrand-Edgeworth duopoly. J. Econom. Theory 70(1):158–179.CrossrefGoogle Scholar
  • Centers for Disease Control and Prevention (2003) Surveillance for safety after immunization: Vaccine adverse event reporting system (VAERS)—United States, 1991–2001. Morbidity Mortality Weekly Rep. 52(SS-1).Google Scholar
  • Centers for Disease Control and Prevention (2013a) Direct communication with personnel at the CDC via personal communication with the author, August 1.Google Scholar
  • Centers for Disease Control and Prevention (2013b) Vaccine price list (contract ending 31 March 2013). Accessed February 1, 2014, http://www.cdc.gov/vaccines/programs/vfc/awardees/vaccine-management/price-list/2013/2013-03-07.html.Google Scholar
  • Centers for Disease Control and Prevention (2013c) National Center for Immunization and Respiratory Diseases. Guidance for vaccinating children during the 2013 Pentacel, Daptacel, and Pediarix shortage. Accessed May 16, 2013, http://www.mcaap.org/Pentacel-Pediarix%20Shortage%20CDC%20Full%20Guidance%205-16-13.pdf.Google Scholar
  • Centers for Disease Control and Prevention (2014a) CDC vaccine price list. Accessed August 1, 2013, http://www.cdc.gov/vaccines/programs/vfc/awardees/vaccine-management/price-list/.Google Scholar
  • Centers for Disease Control and Prevention (2014b) CDC vaccine price list archives. Accessed August 1, 2014, http://www.cdc.gov/vaccines/programs/vfc/awardees/vaccine-management/price-list/archive.html.Google Scholar
  • Centers for Disease Control and Prevention (2014c). Vaccines for Children Program (VFC). Accessed February 1, 2014, http://www.cdc.gov/vaccines/programs/vfc/awardees/program-management/surveys/pes-recommend.html.Google Scholar
  • Centers for Disease Control and Prevention (2015) National Immunization Survey: A codebook for the 2012 public-use data file. Accessed February 1, 2015, ftp://ftp.cdc.gov/pub/Health_Statistics/NCHS/Dataset_Documentation/NIS/NISPUF12_CODEBOOK.PDF.Google Scholar
  • Centers for Disease Control and Prevention and Food and Drug Administration (2014) Vaccine adverse event reporting system. Accessed February 1, 2014, https://vaers.hhs.gov/index.Google Scholar
  • Chamberlin E (1933) The Theory of Monopolistic Competition (Harvard University Press, Cambridge, MA).Google Scholar
  • Chiu C-H, Choi T-M, Li Y, Xu L (2014) Service competition and service war: A game-theoretic analysis. Service Sci. 6(1):63–76.LinkGoogle Scholar
  • Coleman MS, Sangrujee M, Zhou F, Chu S (2005) Factors affecting U.S. manufacturers’ decisions to produce vaccines. Health Aff. 24(3):635–642.CrossrefGoogle Scholar
  • Cournot A (1838) Recherches sur les Principes Mathematiques de la Theorie des Richesses (Hachette, Paris).Google Scholar
  • Dasgupta P, Maskin E (1986) The existence of equilibria in discontinuous economic games. II: Applications. Rev. Econom. Stud. 53(1):27–41.CrossrefGoogle Scholar
  • Davis DD, Wilson BJ (2005) Differentiated product competition and the antitrust logit model: An experimental analysis. J. Econom. Behav. Organ. 57(1):89–113.CrossrefGoogle Scholar
  • DeFrancesco MA, Salvadori N (2008) Bertrand-Edgeworth games under oligopoly with a complete characterization for the triopoly. Technical report, University of Siena, Siena, Italy. Accessed February 1, 2014, http://mpra.ub.uni-muenchen.de/10767/.Google Scholar
  • Edgeworth F (1925) The pure theory of monopoly. Papers Relating to Political Econom. 1:111–142.Google Scholar
  • Farahat A, Perakis G (2010) A nonnegative extension of the affine demand function and equilibrium analysis for multiproduct price competition. Oper. Res. Lett. 38(4):280–286.CrossrefGoogle Scholar
  • Hirata D (2009) Asymmetric Bertrand-Edgeworth oligopoly and mergers. B.E. J. Theoret. Econom. 9(1):1–23.Google Scholar
  • Jacobson SH, Sewell EC, Proano RA (2006) An analysis of the pediatric vaccine supply shortage problem. Health Care Management Sci. 9(4):371–389.CrossrefGoogle Scholar
  • Kreps D, Scheinkman J (1983) Quantity pre-commitment and Bertrand competition yield Cournot outcomes. Bell J. Econom. 14(2):326–337.CrossrefGoogle Scholar
  • Levitan R, Shubik M (1972) Price duopoly and capacity constraints. Internat. Econom. Rev. 13(1):111–122.CrossrefGoogle Scholar
  • Martin J, Hamilton B, Osterman M, Curtin SC, Matthews TJ (2013) Births: Final data for 2012. National Vital Statist. Report 62(9):1–68.Google Scholar
  • Nash J (1950) Equilibrium points in n-person games. Proc. National Acad. Sci. 36(1):48–49.CrossrefGoogle Scholar
  • Niu MT, Davis MD, Ellenberg S (1996) Recombinant Hepatitis B vaccination of infants: Emerging safety data from the vaccine adverse event reporting system (VAERS). Pediatr Infect. Dis. J. 15(9):771–776.CrossrefGoogle Scholar
  • Niu MT, Rhodes P, Salive M, Lively T, Davis DM, Black S, Shinefield H, Chen RT, Ellenberg SS (1998) Comparative safety of two recombinant Hepatitis B vaccines in children: Data from the vaccine adverse event reporting system (VAERS) and vaccine safety datalink (VSD). J. Clin. Epidemiol. 51(6):503–510.CrossrefGoogle Scholar
  • Orenstein WA, Douglas RG, Rodewald LE, Hinman AR (2005) Immunizations in the United States: Success, structure, and stress—A complex collaboration involving government, industry, providers, academe, professional societies, and third-party payers. Health Affairs 24(3):599–610.CrossrefGoogle Scholar
  • Prifti C (2014) The vaccine industry—An overview. Accessed April 1, 2013, http://www.vaccineethics.org/issuebriefs/industry.php.Google Scholar
  • Robbins MJ, Jacobson SH (2011) Pediatric vaccine procurement policy: The monopsonist’s problem. Omega 39(6):589–597.CrossrefGoogle Scholar
  • Robbins MJ, Jacobson SH, Sewell EC (2010) Pricing strategies for combination pediatric vaccines and their impact on revenue: Pediarix or Pentacel? Health Care Management Sci. 13(1):54–64.CrossrefGoogle Scholar
  • Robbins MJ, Jacobson SH, Shanbhag U, Behzad B (2014) The weighted set covering game: A vaccine pricing model for pediatric immunization. INFORMS J. Comput. 26(1):183–198.LinkGoogle Scholar
  • Saberi S, Nagurney A, Wolf T (2014) A network economic game theory model of a service-oriented internet with price and quality competition in both content and network provision. Service Sci. 6(14):229–250.LinkGoogle Scholar
  • Sanofi Pasteur (2015) DTaP shortage. Accessed February 29, 2016, https://www.vaccineshoppe.com/assets/pdf/Important%20Supply%20Information_MKT24949.pdf.Google Scholar
  • Silvestre J (1977) A model of general equilibrium with monopolistic behavior. J. Econom. Theory 16(2):425–442.CrossrefGoogle Scholar
  • Sinitsyn M (2007) Equilibria in a capacity-constrained differentiated duopoly. Technical report, McGill University, Montréal.Google Scholar
  • Tirole J (1988) The Theory of Industrial Organization (Harvard University Press, Cambridge, MA).Google Scholar
  • Vives X (1986) Rationing rules and Bertrand-Edgeworth equilibria in large markets. Econom. Lett. 21(1986):113–116.CrossrefGoogle Scholar
  • Vives X (1999) Oligopoly Pricing (MIT Press, Cambridge, MA).Google Scholar
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