A Game Theoretic Approach to Pediatric Vaccine Pricing

Start: 03/02/2016 - 4:15pm
End  : 03/02/2016 - 5:15pm


Banafsheh Behzad


Pricing strategies in the United States pediatric vaccines market are studied using a Bertrand-Edgeworth-Chamberlin price game. The game analyzes the competition between asymmetric manufacturers with limited production capacities and linear demand, producing differentiated products. The model completely characterizes the unique pure strategy equilibrium in the Bertrand-Edgeworth-Chamberlin competition in an oligopoly setting. In addition, the complete characterization of mixed strategy equilibrium is provided for a duopoly setting. The results indicate that the pure strategy equilibrium exists if the production capacity of manufacturers is at their extreme. For the capacity regions where no pure strategy equilibrium exists, there exists a mixed strategy equilibrium. In a duopoly setting, the distribution functions of the mixed strategy equilibrium for both manufacturers are provided. The proposed game is applied to the United States pediatric vaccine market, in which a small number of asymmetric vaccine manufacturers produce differentiated vaccines. The sources of differentiation in the competing vaccines are the number of medical adverse events, the number of different antigens, and special advantages of those vaccines. The results indicate that the public sector prices of the vaccines are higher than the vaccine equilibrium prices. Furthermore, the situation when shortages of certain pediatric vaccines occur is studied. Market demand and degree of product differentiation are shown as two key factors in computing the equilibrium prices of the vaccines.


Argue Auditorium, Millikan, Pomona College

Claremont Graduate University | Claremont McKenna | Harvey Mudd | Pitzer | Pomona | Scripps
Proudly Serving Math Community at the Claremont Colleges Since 2007
Copyright © 2018 Claremont Center for the Mathematical Sciences