The economics of vaccination.

The market for vaccinations is widely believed to be characterized by market failures, because individuals do not internalize the positive externalities that their vaccination decisions may confer on other individuals. Francis (1997) provided a set of assumptions under which the equilibrium vaccination pattern is socially optimal. We show that his conditions are not necessary for the welfare theorem to hold but that in general, the market yields inefficiently low vaccination uptake. Equilibrium non-optimality may obtain if (i) agents can recover from infection, (ii) vaccines are imperfect, (iii) individuals are ex ante heterogeneous, (iv) vaccination timing is inflexible or (v) the planning horizon is finite. Apart from the case with heterogeneity, inefficiencies result from the presence of strategic interaction.

[1]  Jan Medlock,et al.  The Impact of Transgenic Mosquitoes on Dengue Virulence to Humans and Mosquitoes , 2009, The American Naturalist.

[2]  T. Philipson.  Economic Epidemiology and Infectious Diseases , 1999 .

[3]  P. Fine,et al.  Individual versus public priorities in the determination of optimal vaccination policies. , 1986, American journal of epidemiology.

[4]  Mark Gersovitz,et al.  Infectious Diseases, Public Policy, and the Marriage of Economics and Epidemiology , 2003 .

[5]  Mark Gersovitz.  The Economics of Infection Control , 2011 .

[6]  H. Behncke.  Optimal control of deterministic epidemics , 2000 .

[7]  C. Bauch,et al.  Behavioral Epidemiology of Infectious Diseases: An Overview , 2012, Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases.

[8]  Scott Barrett,et al.  GLOBAL DISEASE ERADICATION , 2003 .

[9]  Andrea Galeotti,et al.  Strategic immunization and group structure , 2013 .

[10]  Technological improvements in vaccine efficacy and individual incentive to vaccinate , 1999 .

[11]  D. Earn,et al.  Vaccination and the theory of games. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Eli P. Fenichel,et al.  Adaptive human behavior in epidemiological models , 2011, Proceedings of the National Academy of Sciences.

[13]  P. Geoffard,et al.  Disease Eradication: Private versus Public Vaccination , 1997 .

[14]  C. Bauch.  Imitation dynamics predict vaccinating behaviour , 2005, Proceedings of the Royal Society B: Biological Sciences.

[15]  Are Drugs More Pro fi table Than Vaccines ? , 2003 .

[16]  K. Wickwire,et al.  A note on the optimal control of carrier-borne epidemics , 1975, Journal of Applied Probability.

[17]  M. Intriligator,et al.  Externalities and compulsary vaccinations , 1991 .

[18]  Jingzhou Liu,et al.  Epidemiological game-theory dynamics of chickenpox vaccination in the USA and Israel , 2012, Journal of The Royal Society Interface.

[19]  Nancy L. Stokey,et al.  Recursive methods in economic dynamics , 1989 .

[20]  M. Auld,et al.  Choices, beliefs, and infectious disease dynamics. , 2003, Journal of health economics.

[21]  Christopher A. Gilligan,et al.  Economic incentives and mathematical models of disease , 2007, Environment and Development Economics.

[22]  Michael Kremer,et al.  Creating Markets for New Vaccines. Part I: Rationale , 2000, Innovation Policy and the Economy.

[23]  V. Veliov,et al.  On the effect of population heterogeneity on dynamics of epidemic diseases , 2005, Journal of mathematical biology.

[24]  Howard Kunreuther,et al.  The Vaccination Game , 2005 .

[25]  Sebastian G. Kessing,et al.  Monopoly Pricing with Negative Network Effects: The Case of Vaccines , 2003 .

[26]  W. Edmunds,et al.  Understanding individuals’ decisions about vaccination: a comparison between Expected Utility and Regret Theory models , 2005 .

[27]  Eli P. Fenichel,et al.  Economic considerations for social distancing and behavioral based policies during an epidemic. , 2013, Journal of health economics.

[28]  Market Structure and Communicable Diseases , 2007 .

[29]  On the Optimal Production Capacity for Influenza Vaccine , 2008, Health economics.

[30]  Which Diseases Generate the Largest Epidemiological Externalities? , 2008 .

[31]  The Vaccination Game Geo ¤ , 2005 .

[32]  C. Bauch,et al.  Dynamics of Vaccination Strategies via Projected Dynamical Systems , 2007, Bulletin of mathematical biology.

[33]  Partial vaccination programs and the eradication of infectious diseases , 2009 .

[34]  L. Bobisud.  Optimal control of a deterministic epidemic , 1977 .

[35]  P. Francis,et al.  Optimal tax/subsidy combinations for the flu season , 2004 .

[36]  Timothy C. Reluga,et al.  A general approach for population games with application to vaccination. , 2011, Mathematical biosciences.

[37]  W. Edmunds,et al.  The possible macroeconomic impact on the UK of an influenza pandemic. , 2010, Health economics.

[38]  Xiaoxia Wang,et al.  The Mechanism and Phenomena of Adaptive Human Behavior During an Epidemic and the Role of Information , 2013 .

[39]  Frederick Chen.  A Susceptible-infected Epidemic Model with Voluntary Vaccinations , 2006, Journal of mathematical biology.

[40]  Herbert W. Hethcote,et al.  Optimal vaccination schedules in a deterministic epidemic model , 1973 .

[41]  Vladimir M. Veliov,et al.  Optimal control of heterogeneous systems: Basic theory , 2008 .

[42]  S. Goyal,et al.  Interaction, protection and epidemics , 2015 .

[43]  Flavio Toxvaerd,et al.  The Optimal Control of Infectious Diseases Via Prevention and Treatment , 2012 .

[44]  Flavio Toxvaerd,et al.  Recurrent Infection and Externalities in Prevention , 2010 .

[45]  P. Francis.  Dynamic epidemiology and the market for vaccinations , 1997 .

[46]  Troy Day,et al.  Optimal control of epidemics with limited resources , 2011, Journal of mathematical biology.

[47]  Alberto d’Onofrio,et al.  Vaccinating Behaviour and the Dynamics of Vaccine Preventable Infections , 2013 .

[48]  Dynamic equilibria in an epidemic model with voluntary vaccinations , 2009, Journal of biological dynamics.

[49]  Timothy C. Reluga,et al.  Game Theory of Social Distancing in Response to an Epidemic , 2010, PLoS Comput. Biol..

[50]  Joyce Tait,et al.  The economy-wide impact of pandemic influenza on the UK: a computable general equilibrium modelling experiment , 2009, BMJ : British Medical Journal.

[51]  Carl T. Bergstrom,et al.  A public choice framework for controlling transmissible and evolving diseases , 2009, Proceedings of the National Academy of Sciences.

[52]  Eric Maskin,et al.  Markov Perfect Equilibrium: I. Observable Actions , 2001, J. Econ. Theory.

[53]  Bryan L. Boulier,et al.  Vaccination Externalities , 2007 .