Volume 24 - Article 28 | Pages 709–718
The reproductive value as part of the shadow price of population
By Gustav Feichtinger, Michael Kuhn, Alexia Prskawetz, Stefan Wrzaczek
References
Arthur, W.B. and McNicoll, G. (1977). Optimal time paths with age-dependence: A theory of population policy. Review of Economic Studies 44(1): 111-123.
Becker, G.S. and Barro, R.J. (1988). A reformulation of the economic theory of fertility. Quarterly Journal of Economics 103(1): 1-25.
Birchenall, J.A. and Soares, R.R. (2009). Altruism, fertility, and the value of children: Health policy evaluation and intergenerational welfare. Journal of Public Economics 93(1-2): 280-295.
Brokate, M. (1985). Pontryagin's principle for control problems in age-dependent population dynamics. Journal of Mathematical Biology 23(1): 75-101.
Burgeois-Pichat, J. (1951). Les limites de la demographie potentielle. Review of the International Statistical Institute 19(1): 13-27.
Charlesworth, B. (1994). Evolution in age-structured populations. Cambridge University Press.
Ediev, D.M. (2001). Application of the demographic potential concept to understanding the Russian population history and prospects: 1897-2100. Demographic Research 4(9): 289-336.
Ediev, D.M. (2007a). Demographic potentials: Theory and applications. Moscow: Max-Press.
Ediev, D.M. (1996). Economic Analysis of Demographic Dynamics. Modeling the Processes of Management and Information Processing. Moscow: Moscow Institute of Physics and Technology.
Ediev, D.M. (2007b). On an extension of R. A. Fisher's result on the dynamics of the reproductive value. Theoretical Population Biology 72(4): 480-484.
Farr, W. (1853). The income and property tax. Quaterly Journal of the Statistical Society 16(1): 1-44.
Feichtinger, G., Hartl, R.F., Kort, P.M., and Veliov, V.M. (2006). Anticipation effects of technological progress on capital accumulation: A vintage capital approach. Journal of Economic Theory 126(1): 143-164.
Feichtinger, G., Prskawetz, A., and Veliov, V.M. (2004). Age structured optimal control in population economics. Theoretical Population Biology 65(4): 373-387.
Feichtinger, G., Tragler, G., and Veliov, V.M. (2003). Optimality conditions for age-structured control systems. Journal of Mathematical Analysis and Applications 288(1): 47-68.
Fisher, R.A. (1927). The actuarial treatment of official birth records. Eugenics Review 19(2): 103-108.
Fisher, R.A. (1930). The genetical theory of natural selection. New York: Dover Publications.
Goodman, D. (1982). Optimal life histories, optimal notation, and the value of reproductive value. American Naturalist 119(6): 803-823.
Hersch, L. (1944). Quelques precisions sur la methode des potentiels-vie et ses notions fondamentales. Review of the International Statistical Institute 12(1/4): 23-35.
Hofflander, A.E. (1966). The human life value: An historical perspective. Journal of Risk and Insurance 33(3): 381-391.
Keyfitz, B.L. and Keyfitz, N. (1997). The McKendrick partial differential equation and its uses in epidemiology and population study. Mathematical and Computer Modelling 26(6): 1-9.
Keyfitz, N. (1977). Applied mathematical demography. John Wiley & Sons.
Keyfitz, N. (1971). On the momentum of population growth. Demography 8(1): 71-80.
Kuhn, M., Wrzaczek, S., and Oeppen, J. (2010). Recognizing progeny in the value of life. Economics Letters 107(1): 17-21.
Leon, J.A. (1976). Life histories as adaptive strategies. Journal of theoretical Biology 60(2): 301-335.
Leonard, D. and Van Long, N. (1992). Optimal Control Theory and Static Optimization in Economics. Cambridge University Press.
Schelling, T.C. (1968). The life you save may be your own. In: Chase, S.B. (ed.). Problems in public expenditures analysis. Washington D.C.: The Brooking Institution.
Sethi, S.P. and Thompson, G.L. (2000). Optimal control theory. Applications to management science and economics. Kluwer Academic Publishers.
Shepard, D.S. and Zeckhauser, R.J. (1982). Life-cycle consumption and willingness to pay for increased survival. In: Jones-Lee, M.N. (ed.). The Value of Life and Safety. North-Holland Publishing Company.
Taylor, H.M., Gourley, R.S., Lawrence, C.E., and Kaplan, R.S. (1974). Natural selection of life history attributes: An analytical approach. Theoretical Population Biology 5(1): 104-122.
Wrzaczek, S., Kuhn, M., Prskawetz, A., and Feichtinger, G. (2010). The Reproductive value in distributed optimal control models. Theoretical Population Biology 77(3): 164-170.