A. E. Belghiti, F. Antona, D. , L. , and E. , Bulletin épidemiologique rougeole-Semaine 20, 2018.

, Maladies-a-prevention-vaccinale/Rougeole/Points-d-actualites

D. Antona, D. Lévy-bruhl, C. Baudon, F. Freymuth, M. Lamy et al., Measles elimination efforts and 2008-2011 outbreak, france. Emerg Infect Dis, vol.19, issue.3, pp.357-364, 2013.

C. T. Bauch and D. J. Earn, Vaccination and the theory of games, Proceedings of the National Academy of Sciences, vol.101, issue.36, pp.13391-13394, 2004.

C. T. Bauch, A. P. Galvani, and D. J. Earn, Group interest versus selfinterest in smallpox vaccination policy, Proceedings of the National Academy of Sciences, vol.100, issue.18, pp.10564-10567, 2003.

J. C. Bester, Measles and Measles Vaccination: A Review, JAMA Pediatr, vol.170, issue.12, pp.1209-1215, 2016.

P. Beutels and N. J. Gay, Economic evaluation of options for measles vaccination strategy in a hypothetical Western European country, Epidemiology and Infection, vol.130, pp.273-283, 2003.

D. L. Brito, E. Sheshinski, and M. D. Intriligator, Externalities and compulsary vaccinations, Journal of Public Economics, vol.45, issue.1, pp.69-90, 1991.

, Year in Review: Measles Linked to Disneyland, CDC, vol.16, 2015.

, CDC Vaccine Price List, CDC, vol.22, 2018.

N. S. Clemmons, P. A. Gastanaduy, A. P. Fiebelkorn, S. B. Redd, W. et al., MMWR Morbidity and Mortality Weekly Report, vol.64, pp.373-376, 2015.

P. Corben and J. Leask, To close the childhood immunization gap, we need a richer understanding of parents' decision-making, Human Vaccines & Immunotherapeutics, vol.12, issue.12, pp.3168-3176, 2016.

J. E. Glazner, B. Beaty, and S. Berman, Cost of vaccine administration among pediatric practices, Pediatrics, vol.124, pp.492-498, 2009.

K. Goldstein, T. Philipson, H. Joo, and R. Daum, The effect of epidemic measles on immunization rates, JAMA, vol.276, issue.1, pp.56-58, 1996.

F. M. Guerra, S. Bolotin, G. Lim, J. Heffernan, S. L. Deeks et al., The basic reproduction number (R0) of measles: a systematic review, Canonical modeling of anticipatory vaccination behavior and long term epidemic recurrence Bibliography Bauch, vol.272, pp.1669-1675, 1573.

C. T. Bauch and D. J. Earn, Vaccination and the theory of games, Proc. Natl. Acad. Sci. U.S.A, vol.101, issue.36, pp.13391-13394, 2004.

C. T. Bauch, A. P. Galvani, and D. J. Earn, Group interest versus self-interest in smallpox vaccination policy, Proc. Natl. Acad. Sci. U.S.A, vol.100, issue.18, pp.10564-10567, 2003.

J. Bayham, N. V. Kuminoff, Q. Gunn, and E. P. Fenichel, Measured voluntary avoidance behaviour during the 2009 A/H1N1 epidemic, Proc. Biol. Sci, vol.282, p.20150814, 1818.

S. Bhattacharyya, C. T. Bauch, and R. Breban, Role of word-of-mouth for programs of voluntary vaccination: A game-theoretic approach, Math Biosci, vol.269, pp.130-134, 2015.

B. Buonomo, A. Onofrio, and D. Lacitignola, Global stability of an SIR epidemic model with information dependent vaccination, Math Biosci, vol.216, issue.1, pp.9-16, 2008.

F. H. Chen and A. Cottrell, Dynamic equilibria in an epidemic model with voluntary vaccinations, Journal of Biological Dynamics, vol.3, issue.4, pp.357-375, 2009.

C. T. Codeço, P. M. Luz, F. Coelho, A. P. Galvani, and C. Struchiner, Vaccinating in disease-free regions: a vaccine model with application to yellow fever, J R Soc Interface, vol.4, issue.17, pp.1119-1125, 2007.

F. C. Coelho and C. T. Codeço, Dynamic modeling of vaccinating behavior as a function of individual beliefs, PLoS Comput. Biol, vol.5, issue.7, p.1000425, 2009.

A. Onofrio, P. Manfredi, P. , and P. , The impact of vaccine side effects on the natural history of immunization programmes: an imitation-game approach, J. Theor. Biol, vol.273, issue.1, pp.63-71, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00669204

J. M. Epstein, J. Parker, D. Cummings, and R. A. Hammond, Coupled contagion dynamics of fear and disease: Mathematical and computational explorations, PLOS ONE, vol.3, issue.12, pp.1-11, 2008.

E. P. Fenichel, C. Castillo-chavez, M. G. Ceddia, G. Chowell, P. A. Parra et al., Adaptive human behavior in epidemiological models, Proc. Natl. Acad. Sci. U.S.A, vol.108, issue.15, pp.6306-6311, 2011.

, Chapter 1: Canonical modeling of anticipatory vaccination behavior and long term epidemic recurrence

J. Flaig, N. Houy, M. , and P. , Canonical modeling of anticipatory vaccination behavior and long term epidemic recurrence, Journal of Theoretical Biology, vol.436, pp.26-38, 2018.

F. Fu, D. I. Rosenbloom, L. Wang, and M. A. Nowak, Imitation dynamics of vaccination behaviour on social networks, Proc. Biol. Sci, vol.278, pp.42-49, 1702.

D. Fudenberg and D. Levine, The Theory of Learning in Games, vol.1, 1998.

S. Funk, S. Bansal, C. T. Bauch, K. T. Eames, W. J. Edmunds et al., Nine challenges in incorporating the dynamics of behaviour in infectious diseases models, vol.10, pp.21-25, 2015.

S. Funk, E. Gilad, C. Watkins, and V. A. Jansen, The spread of awareness and its impact on epidemic outbreaks, Proc. Natl. Acad. Sci. U.S.A, vol.106, issue.16, pp.6872-6877, 2009.

S. Funk, M. Salathe, and V. A. Jansen, Modelling the influence of human behaviour on the spread of infectious diseases: a review, J R Soc Interface, vol.7, issue.50, pp.1247-1256, 2010.

P. Geoffard and T. Philipson, Rational epidemics and their public control, International Economic Review, vol.37, issue.3, pp.603-624, 1996.

P. Geoffard and T. Philipson, Disease eradication: Private versus public vaccination, The American Economic Review, vol.87, issue.1, pp.222-230, 1997.

H. W. Hethcote and P. Waltman, Optimal vaccination schedules in a deterministic epidemic model, Mathematical Biosciences, vol.18, issue.3, pp.365-381, 1973.

V. A. Jansen, N. Stollenwerk, H. J. Jensen, M. E. Ramsay, W. J. Edmunds et al., Measles outbreaks in a population with declining vaccine uptake, Science, vol.301, issue.5634, pp.804-804, 2003.

L. Laguzet and G. Turinici, Global optimal vaccination in the SIR model: properties of the value function and application to cost-effectiveness analysis, Math Biosci, vol.263, pp.180-197, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00966622

L. Laguzet and G. Turinici, Individual Vaccination as Nash Equilibrium in a SIR Model with Application to the 2009-2010 Influenza A (H1N1) Epidemic in France, Bull. Math. Biol, vol.77, issue.10, pp.1955-1984, 2015.

H. Nishiura, Time variations in the transmissibility of pandemic influenza in Prussia, Theor Biol Med Model, vol.4, p.20, 2007.

T. Philipson, Private vaccination and public health: An empirical examination for u.s. measles, The Journal of Human Resources, vol.31, issue.3, pp.611-630, 1996.

, Chapter 1: Canonical modeling of anticipatory vaccination behavior and long term epidemic recurrence

C. J. Reeling and R. D. Horan, Self-protection, strategic interactions, and the relative endogeneity of disease risks, American Journal of Agricultural Economics, vol.97, issue.2, pp.452-468, 2015.

T. C. Reluga, Game theory of social distancing in response to an epidemic, PLOS Computational Biology, vol.6, issue.5, pp.1-9, 2010.

T. C. Reluga, Equilibria of an epidemic game with piecewise linear social distancing cost, Bull. Math. Biol, vol.75, issue.10, pp.1961-1984, 2013.

T. C. Reluga, C. T. Bauch, and A. P. Galvani, Evolving public perceptions and stability in vaccine uptake, Math Biosci, vol.204, issue.2, pp.185-198, 2006.

T. C. Reluga and A. P. Galvani, A general approach for population games with application to vaccination, Math Biosci, vol.230, issue.2, pp.67-78, 2011.

S. Riley, C. Fraser, C. A. Donnelly, A. C. Ghani, L. J. Abu-raddad et al., Transmission dynamics of the etiological agent of sars in hong kong: Impact of public health interventions, Science, vol.300, pp.1961-1966, 2003.

E. Shim, G. B. Chapman, J. P. Townsend, and A. P. Galvani, The influence of altruism on influenza vaccination decisions, J R Soc Interface, vol.9, issue.74, pp.2234-2243, 2012.

M. Voinson, S. Billiard, A. , and A. , Beyond Rational Decision-Making: Modelling the Influence of Cognitive Biases on the Dynamics of Vaccination Coverage, PLoS ONE, vol.10, issue.11, p.142990, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01240002

F. Xu and R. Cressman, Disease control through voluntary vaccination decisions based on the smoothed best response, Comput Math Methods Med, p.825734, 2014.

F. Xu and R. Cressman, Voluntary vaccination strategy and the spread of sexually transmitted diseases, Math Biosci, vol.274, pp.94-107, 2016.

J. Yang, M. Marcheva, C. , and Y. , Imitation dynamics of vaccine decision-making behaviours based on the game theory, J Biol Dyn, vol.10, pp.31-58, 2016.

, Chapter 2: Cost-effectiveness analysis revisited: the case of Measles mandatory vaccination

A. Bibliography-ahituv, V. J. Hotz, P. , and T. , The Responsiveness of the Demand for Condoms to the Local Prevalence of AIDS, Journal of Human Resources, vol.31, issue.4, pp.869-897, 1996.

C. T. Bauch, A. P. Galvani, and D. J. Earn, Group interest versus self-interest in smallpox vaccination policy, Proc. Natl. Acad. Sci. U.S.A, vol.100, issue.18, pp.10564-10567, 2003.

A. Beresniak and D. Dupont, Is there an alternative to quality-adjusted life years for supporting healthcare decision making?, Expert Review of Pharmacoeconomics & Outcomes Research, vol.16, issue.3, pp.351-357, 2016.

S. Bhattacharyya, C. T. Bauch, and R. Breban, Role of word-of-mouth for programs of voluntary vaccination: A game-theoretic approach, Mathematical Biosciences, vol.269, pp.130-134, 2015.

K. F. Brown, J. S. Kroll, M. J. Hudson, M. Ramsay, J. Green et al., Factors underlying parental decisions about combination childhood vaccinations including MMR: A systematic review, Vaccine, vol.28, issue.26, pp.4235-4248, 2010.

J. Kroger, A. Wolfe, and C. , Epidemiology and Prevention of Vaccine-Preventable Diseases, chapter 13. Public Health Foundation, 2015.

N. S. Clemmons, P. A. Gastanaduy, A. P. Fiebelkorn, S. B. Redd, W. et al., MMWR Morbidity and Mortality Weekly Report, vol.64, pp.373-376, 2015.

J. V. Depasse, K. J. Smith, J. M. Raviotta, E. Shim, M. P. Nowalk et al., Does choice of influenza vaccine type change disease burden and cost-effectiveness in the united states? an agent-based modeling study, American Journal of Epidemiology, vol.185, issue.9, pp.822-831, 2017.

M. F. Drummond, M. J. Sculpher, K. Claxton, G. L. Stoddart, T. et al., Methods for the Economic Evaluation of Health Care Programmes. Oxford medical publications, 2015.

R. W. Evans and F. D. Pagani, Economic evaluation in health care: A modern day quagmire, The Journal of Heart and Lung Transplantation, vol.33, issue.4, pp.344-346, 2014.

E. P. Fenichel, C. Castillo-chavez, M. G. Ceddia, G. Chowell, P. A. Parra et al.,

W. A. Orenstein, R. T. Perry, and N. A. Halsey, The Clinical Significance of Measles: A Review, The Journal of Infectious Diseases, vol.189, pp.4-16, 2004.

P. Poletti, M. Ajelli, and S. Merler, Risk perception and effectiveness of uncoordinated behavioral responses in an emerging epidemic, Mathematical Biosciences, vol.238, issue.2, pp.80-89, 2012.

F. Ramsey, A mathematical theory of savings, Economic Journal, vol.38, issue.152, pp.543-559, 1928.

T. C. Reluga, C. T. Bauch, and A. P. Galvani, Evolving public perceptions and stability in vaccine uptake, Math Biosci, vol.204, issue.2, pp.185-198, 2006.

D. S. Saint-victor and S. B. Omer, Vaccine refusal and the endgame: walking the last mile first, Philosophical Transactions of the Royal Society of London B: Biological Sciences, p.368, 1623.

F. Santé-publique, Epidémie de rougeole en Nouvelle-Aquitaine, 2018.

F. Sassi, Calculating QALYs, comparing QALY and DALY calculations, Health Policy and Planning, vol.21, issue.5, pp.402-408, 2006.

D. Thorrington, M. Ramsay, A. J. Van-hoek, W. J. Edmunds, R. Vivancos et al., The Effect of Measles on Health-Related Quality of Life: A Patient-Based Survey, PLOS ONE, vol.9, issue.9, pp.1-9, 2014.

M. Voinson, S. Billiard, A. , and A. , Beyond Rational Decision-Making: Modelling the Influence of Cognitive Biases on the Dynamics of Vaccination Coverage, PLoS ONE, vol.10, issue.11, p.142990, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01240002

D. Walker, Cost and cost-effectiveness of HIV/AIDS prevention strategies in developing countries: is there an evidence base?, Health Policy and Planning, vol.18, issue.1, pp.4-17, 2003.

M. C. Weinstein, G. Torrance, and A. Mcguire, QALYs: The Basics, Value in Health, vol.12, pp.5-9, 2009.

, Centralized information system for infectious diseases, Europe, 2018.

, WHO Vaccine-Preventable Diseases: Monitoring System, 2017.

F. Xu and R. Cressman, Disease control through voluntary vaccination decisions based on the smoothed best response, Comput Math Methods Med, p.825734, 2014.

, Chapter 2: Cost-effectiveness analysis revisited: the case of Measles mandatory vaccination

F. Xu and R. Cressman, Voluntary vaccination strategy and the spread of sexually transmitted diseases, Math Biosci, vol.274, pp.94-107, 2016.

R. , The evolution of cooperation, Vaccination as a cooperative behavior Bibliography Axelrod, 1984.

C. T. Bauch, Imitation dynamics predict vaccinating behaviour, Proc. Biol. Sci, vol.272, pp.1669-1675, 1573.

C. T. Bauch and D. J. Earn, Vaccination and the theory of games, Proc. Natl. Acad. Sci. U.S.A, vol.101, issue.36, pp.13391-13394, 2004.

C. T. Bauch, A. P. Galvani, and D. J. Earn, Group interest versus self-interest in smallpox vaccination policy, Proc. Natl. Acad. Sci. U.S.A, vol.100, issue.18, pp.10564-10567, 2003.

J. C. Bester, Measles and Measles Vaccination: A Review, JAMA Pediatr, vol.170, issue.12, pp.1209-1215, 2016.

S. Bhattacharyya, C. T. Bauch, and R. Breban, Role of word-of-mouth for programs of voluntary vaccination: A game-theoretic approach, Mathematical Biosciences, vol.269, pp.130-134, 2015.

N. T. Brewer, G. B. Chapman, A. J. Rothman, J. Leask, K. et al., Increasing vaccination: Putting psychological science into action, Psychological Science in the Public Interest, vol.18, issue.3, pp.149-207, 2017.

K. F. Brown, J. S. Kroll, M. J. Hudson, M. Ramsay, J. Green et al., Factors underlying parental decisions about combination childhood vaccinations including MMR: A systematic review, Vaccine, vol.28, issue.26, pp.4235-4248, 2010.

B. Buonomo, A. Onofrio, and D. Lacitignola, Global stability of an SIR epidemic model with information dependent vaccination, Math Biosci, vol.216, issue.1, pp.9-16, 2008.

, CDC, 2018.

F. H. Chen and A. Cottrell, Dynamic equilibria in an epidemic model with voluntary vaccinations, J Biol Dyn, vol.3, issue.4, pp.357-375, 2009.

C. T. Code-co, P. M. Luz, F. Coelho, A. P. Galvani, and C. Struchiner, Vaccinating in disease-free regions: a vaccine model with application to yellow fever, J R Soc Interface, vol.4, issue.17, pp.1119-1125, 2007.

F. C. Coelho and C. T. Codeco, Dynamic modeling of vaccinating behavior as a function of individual beliefs, PLoS Comput. Biol, vol.5, issue.7, p.1000425, 2009.

, Vaccination as a cooperative behavior

M. G. Cojocaru, C. T. Bauch, and M. D. Johnston, Dynamics of vaccination strategies via projected dynamical systems, Bull. Math. Biol, vol.69, issue.5, pp.1453-1476, 2007.

A. Onofrio, P. Manfredi, P. , and P. , The impact of vaccine side effects on the natural history of immunization programmes: an imitation-game approach, J. Theor. Biol, vol.273, issue.1, pp.63-71, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00669204

J. M. Epstein, J. Parker, D. Cummings, and R. A. Hammond, Coupled contagion dynamics of fear and disease: mathematical and computational explorations, PLoS ONE, vol.3, issue.12, p.3955, 2008.

E. P. Fenichel, C. Castillo-chavez, M. G. Ceddia, G. Chowell, P. A. Parra et al., Adaptive human behavior in epidemiological models, Proc. Natl. Acad. Sci. U.S.A, vol.108, issue.15, pp.6306-6311, 2011.

J. Flaig, N. Houy, M. , and P. , Canonical modeling of anticipatory vaccination behavior and long term epidemic recurrence, Journal of Theoretical Biology, vol.436, pp.26-38, 2018.

J. Flaig, N. Houy, M. , and P. , Cost effectiveness analysis revisited: The case of measles mandatory vaccination, 2018.

J. W. Friedman, A non-cooperative equilibrium for supergames12. The Review of Economic Studies, vol.38, pp.1-12, 1971.

F. Fu, D. I. Rosenbloom, L. Wang, and M. A. Nowak, Imitation dynamics of vaccination behaviour on social networks, Proc. Biol. Sci, vol.278, pp.42-49, 1702.

D. Fudenberg and D. Levine, The Theory of Learning in Games, vol.1, 1998.

S. Funk, S. Bansal, C. T. Bauch, K. T. Eames, W. J. Edmunds et al., Nine challenges in incorporating the dynamics of behaviour in infectious diseases models, vol.10, pp.21-25, 2015.

P. Geoffard and T. Philipson, Rational epidemics and their public control, International Economic Review, vol.37, issue.3, pp.603-624, 1996.

P. Geoffard and T. Philipson, Disease eradication: private versus public vaccination, The American Economic Review, vol.87, issue.1, pp.222-230, 1997.

H. A. Hill, L. D. Elam-evans, D. Yankey, J. A. Singleton, and Y. Kang, Vaccination Coverage Among Children Aged 19-35 Months-United States, MMWR Morbidity and Mortality Weekly Report, vol.66, issue.43, pp.1171-1177, 2016.

, INVS, 2018.

, INVS, 2018.

, Donnees-de-surveillance-au-28-mars-2018, 2018.

L. Laguzet and G. Turinici, Individual Vaccination as Nash Equilibrium in a SIR Model with Application to the 2009-2010 Influenza A (H1N1) Epidemic in France, Bull. Math. Biol, vol.77, issue.10, pp.1955-1984, 2015.

P. Manfredi, P. D. Posta, A. Onofrio, E. Salinelli, F. Centrone et al., Optimal vaccination choice, vaccination games, and rational exemption: an appraisal, Vaccine, vol.28, issue.1, pp.98-109, 2009.

F. Ramsey, A mathematical theory of savings, Economic Journal, vol.38, issue.152, pp.543-559, 1928.

C. J. Reeling and R. D. Horan, Self-protection, strategic interactions, and the relative endogeneity of disease risks, Am. J. Agric. Econ, vol.97, issue.2, pp.452-468, 2015.

T. C. Reluga, C. T. Bauch, and A. P. Galvani, Evolving public perceptions and stability in vaccine uptake, Math Biosci, vol.204, issue.2, pp.185-198, 2006.

T. C. Reluga and A. P. Galvani, A general approach for population games with application to vaccination, Mathematical Biosciences, vol.230, issue.2, pp.67-78, 2011.

D. S. Saint-victor and S. B. Omer, Vaccine refusal and the endgame: walking the last mile first, Philosophical Transactions of the Royal Society of London B: Biological Sciences, p.368, 1623.

D. Salmon, M. Haber, E. Gangarosa, L. Phillips, N. Smith et al., Health consequences of religious and philosophical exemptions from immunization laws: Individual and societal risk of measles, JAMA, vol.282, issue.1, pp.47-53, 1999.

E. Shim, G. B. Chapman, J. P. Townsend, and A. P. Galvani, The influence of altruism on influenza vaccination decisions, J R Soc Interface, vol.9, issue.74, pp.2234-2243, 2012.

E. Shim, J. J. Grefenstette, S. M. Albert, B. E. Cakouros, and D. S. Burke, A game dynamic model for vaccine skeptics and vaccine believers: Measles as an example, Journal of Theoretical Biology, vol.295, pp.194-203, 2012.

D. Thorrington, M. Ramsay, A. J. Van-hoek, W. J. Edmunds, R. Vivancos et al., The Effect of Measles on Health-Related Quality of Life: A Patient-Based Survey, PLOS ONE, vol.9, issue.9, pp.1-9, 2014.

M. Voinson, S. Billiard, A. , and A. , Beyond Rational Decision-Making: Modelling the Influence of Cognitive Biases on the Dynamics of Vaccination Coverage, PLoS ONE, vol.10, issue.11, p.142990, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01240002

F. Xu and R. Cressman, Disease control through voluntary vaccination decisions based on the smoothed best response, Comput Math Methods Med, p.825734, 2014.

J. Yang, M. Martcheva, C. , and Y. , Imitation dynamics of vaccine decision-making behaviours based on the game theory, J Biol Dyn, vol.10, pp.31-58, 2016.