The Weighted Set Covering Game: A Vaccine Pricing Model for Pediatric Immunization

Published Online:https://doi.org/10.1287/ijoc.2013.0556

References

  • Balas E, Jeroslow R (1972) Canonical cuts on the unit hypercube. SIAM J. Appl. Math. 23:61–69.CrossrefGoogle Scholar
  • Behzad B, Jacobson SH, Sewell EC (2012) Pricing strategies for combination pediatric vaccines based on the lowest overall cost formulary. Expert Rev. Vaccines. 11(10):1189–1197.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
  • Centers for Disease Control and Prevention (2008) Continued shortage of Haemophilus influenzae type b (Hib) conjugate vaccines and potential implications for Hib surveillance—United States. Morbidity Mortality Weekly Rep. 57:1252–1255.Google Scholar
  • Centers for Disease Control and Prevention (2009) National, state, and local area vaccination coverage among children aged 19–35 months—United States. Morbidity Mortality Weekly Rep. 58:921–926.Google Scholar
  • Centers for Disease Control and Prevention (2010a) Recommended childhood immunization schedule—United States, 2010. Morbidity Mortality Weekly Rep. 58:1–4.Google Scholar
  • Centers for Disease Control and Prevention (2010b) Vaccine price list (contract ending March 31, 2010). Accessed January 7, 2010, http://www.cdc.gov/vaccines/programs/vfc/cdc-vac-price-list.htm.Google Scholar
  • Centers for Disease Control and Prevention (2011) Vaccine price list (contract ending March 31, 2011). Accessed June 10, 2013, http://www.cdc.gov/vaccines/programs/vfc/cdc-vac-price-list.htm.Google 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 equilibrium in discontinuous economic games, I: Theory. Rev. Econom. Stud. 53:1–26.CrossrefGoogle Scholar
  • Debreu G (1952) A social equilibrium existence theorem. Proc. Natl. Acad. Sci. 38:886–893.CrossrefGoogle Scholar
  • Douglas RG, Sadoff J, Samant V (2008) The vaccine industry. Plotkin S, Orenstein W, Offit P, eds. Vaccines, 5th ed. (Saunders, Philadelphia), 37–44.CrossrefGoogle Scholar
  • Food and Drug Administration (2009) Vaccines licensed for immunization and distribution in the United States. Accessed June 10, 2013, http://www.fda.gov/cber/vaccine/licvacc.htm.Google Scholar
  • Freed GL, Cowan AE, Gregory S, Clark SJ (2008) Variation in provider vaccine purchase prices and payer reimbursement. Pediatrics 122:1325–1331.CrossrefGoogle Scholar
  • Friedman J (1971) A noncooperative equilibrium for supergames. Rev. Econom. Stud. 38:1–12.CrossrefGoogle Scholar
  • Fudenberg D, Maskin E (1986) The folk theorem in repeated games with discounting and incomplete information. Econometrica 54:533–554.CrossrefGoogle Scholar
  • Glazner, J, Beaty B, Pearson K, Berman S (2004) The cost of giving childhood vaccinations: Differences among provider types. Pediatrics 113:1582–1587.CrossrefGoogle Scholar
  • Glicksberg IL (1952) A further generalization of the Kakutani fixed point theorem. Proc. Amer. Math. Soc. 3:170–174.Google Scholar
  • Hall SN, Jacobson SH, Sewell EC (2008) An analysis of pediatric vaccine formulary selection problems. Oper. Res. 56:1348–1365.LinkGoogle Scholar
  • Hinman AR (2005) Financing vaccines in the 21st century: Recommendations from the National Vaccine Advisory Committee. Amer. J. Preventive Medicine 29:71–75.CrossrefGoogle Scholar
  • Jacobson SH, Sewell EC (2003) Designing pediatric vaccine formularies and pricing pediatric combination vaccines using operations research models and algorithms. Expert Rev. Vaccines 2:15–19.CrossrefGoogle Scholar
  • Jacobson SH, Sewell EC, Karnani T (2005) Engineering the economic value of two pediatric combination vaccines. Healthcare Management Sci. 8:29–40.CrossrefGoogle Scholar
  • Jacobson SH, Sewell EC, Deuson R, Weniger BG (1999) An integer programming model for vaccine procurement and delivery for childhood immunization: A pilot study. Healthcare Management Sci. 2:1–9.CrossrefGoogle Scholar
  • Mankiw NG (2007) Principles of Microeconomics, 4th ed. (Thomson South-Western, Mason, OH).Google Scholar
  • Martin JA, Hamilton BE, Sutton PD, Ventura SJ, Menacker F, Krimeyer S, Mathews TJ (2009) Births: Final data for 2006. National Vital Statistics Reports, NCHS, CDC, Atlanta.Google Scholar
  • McGuire TG (2003) Setting prices for new vaccines (in advance). Internat. J. Health Care Finance Econom. 3:207–224.CrossrefGoogle Scholar
  • Myerson RB (1999) Game Theory: Analysis of Conflict (Harvard University Press, Cambridge, MA).Google Scholar
  • Nash J (1950) The bargaining problem. Econometrica 18:155–162.CrossrefGoogle Scholar
  • Nash J (1951) Noncooperative games. Ann. Math. 54(2):286–295.CrossrefGoogle Scholar
  • Nisan N, Roughgarden T, Tardos E, Vazirani VV, eds. (2007) Algorithmic Game Theory (Cambridge University Press, New York).CrossrefGoogle Scholar
  • Offit PA (2005) Why are pharmaceutical companies gradually abandoning vaccines? Health Affairs 24:622–630.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 24:599–610.CrossrefGoogle Scholar
  • Philip JR (1999) On the existence of pure and mixed strategy Nash equilibria in discontinuous games. Econometrica 67:1029–1056.CrossrefGoogle Scholar
  • Phillips OR, Menkhaus DJ, Krogmeier JL (2001) Production-to-order or production-to-stock: The endogenous choice of institution in experimental auction markets. J. Econom. Behav. Organ. 44:333–345.CrossrefGoogle Scholar
  • Poland GA, Marcuse EK (2004) Vaccine availability in the US: Problems and solutions. Nature Immunology 5:1195–1198.CrossrefGoogle Scholar
  • Robbins MJ, Jacobson SH, Sewell EC (2010) Pricing strategies for combination pediatric vaccines and their impact on revenue: Pediarix® or Pentacel®? Healthcare Management Sci. 13:54–64.CrossrefGoogle Scholar
  • Roughgarden T (2010) Computing equilibria: A computational complexity perspective. Econom. Theory 43:103–236.Google Scholar
  • Rubinstein A (1977) Equilibrium in supergames. Research Memorandum 25, Center for Mathematical Economics and Game Theory, The Hebrew University, Jerusalem, Israel.Google Scholar
  • Schelling TC (1960) The Strategy of Conflict (Harvard University Press, Cambridge, MA).Google Scholar
  • Sewell EC, Jacobson SH (2003) Using an integer programming model to determine the price of combination vaccines for childhood immunization. Ann. Oper. Res. 119:261–284.CrossrefGoogle Scholar
  • Sewell EC, Jacobson SH, Weniger BG (2001) Reverse engineering a formulary selection algorithm to determine the economic value of pentavalent and hexavalent combination vaccines. Pediatric Infectious Disease J. 20:S45–S56.CrossrefGoogle Scholar
  • Tirole J (1988) The Theory of Industrial Organization (MIT Press, Cambridge, MA).Google Scholar
  • Vives X (1999) Oligopoly Pricing (MIT Press, Cambridge, MA).Google Scholar
  • Weniger BG, Chen RT, Jacobson SH, Sewell EC, Deuson R, Livengood JR, Orenstein WA (1998) Addressing the challenges to immunization practice with an economic algorithm for vaccine selection. Vaccine 16:1885–1897.CrossrefGoogle Scholar
  • Zhou F, Santoli J, Messonnier ML, Yusuf HR, Shefer A, Chu SY, Rodewald L, Harpaz R (2005) Economic evaluation of the 7-vaccine routine childhood immunization schedule in the United States, 2001. Arch. Pediatrics Adolescent Medicine 159:1136–1144.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.