References
- 1. Angrisani M, Attias A (2004), A mathematical model for the management of an invalidity old age survivor pension fund: the Exact Individual Trajectories Method, PU.M.A. Pure Mathematics and Applications, Vol. 15, pp. 1-15.
- 2. Angrisani M, Attias A, Bianchi S, Varga Z (2006), Demographic dynamic for the pay-as-you-go pension system, PU.M.A. Pure Mathematics and Applications, Vol. 15, n. 4, pp. 357-374.
- 3. Annibali A (2017), CNPADC Actuarial Balance, projections: 2017 – 2066.
- 4. Attias A (2007), Demographic equilibrium and flexibility of the pension system, Proceedings XIII Conference on Actuarial Risk Theory, pp. 5-37, Aracne Edition.
- 5. Attias A (2012), A two-component public pension system under demographic equilibrium: a substitution rate for benefit adequacy, Proceedings XVIII Conference on Actuarial Risk Theory, pp. 37-74, Libellula Edition.
- 6. Attias A, Arezzo MF, Pianese A, Varga Z (2016), A comparison of two legislative approaches to the pay-as-you-go pension system in terms of adequacy. The Italian case, Insurance: Mathematics and Economics Vol. 68, pp. 203-211.10.1016/j.insmatheco.2016.03.010
- 7. Berman A, Plemmons RJ (1994), Nonnegative matrices in mathematical sciences, Siam, Philadelphia.10.1137/1.9781611971262
- 8. Ciavalini S (2013), Adeguatezza delle prestazioni previdenziali: i futuri pensionati assaliranno il forno delle grucce? Il modello matematico attuariale della proposta Cazzola-Treu adattato e applicato alla realtà della CNPADC, Tesi di laurea in Finanza e Assicurazioni.
- 9. Coppini MA (1989), The INPS model and the first projections to 2010, INPS, supplement to the magazine Previdenza Sociale, Rome, Italy.
- 10. European Commission (DG ECFIN) and Economic Policy Committee (AWG) (2009). Ageing report: Economic and budgetary projections for the EU-27 Member States (2008-2060). European Economy, n° 2.
- 11. European Commission (2010), Green Paper towards adequate, sustainable and safe European pension systems, Bruxelles.
- 12. European Commission (2018), Pension Adequacy Report 2018. Current and future income adequacy in old age in EU, vol. 2, Publications Office of the European Union, Luxembourg.
- 13. Golany B, Thore, S (1997), The economic and social performances of Nations: efficiency and returns to scale, Socio-Economic Planning Sciences, Vol. 31, No. 3, pp. 191-204.
- 14. Leslie PH (1945), On the use of matrices in certain population mathematics, Biometrika, 33, n. 3, p. 183-212, Oxford University Press, UK.10.1093/biomet/33.3.18321006835
- 15. Leslie PH (1948), Some further notes on the use of matrices in certain population mathematics, Biometrika, Vol. 35, n. 3-4, p. 213-245, Oxford University Press, UK.10.1093/biomet/35.3-4.213
- 16. Ministerial Commission for the evaluation of the effects of law n. 335/95 and subsequent provisions (2001), Verification of the social security system pursuant to law 335/95 and subsequent provisions, with a view to developing competitiveness and equity, Italy.
- 17. Ministry of Economy and Finance, RGS (2017), Country Fiche on public pensions for the Ageing Report 2018, EPC – WGA, Italy.
- 18. The Mathworks (2009), MATLAB – The language of technical computing, version 7.9.0, Natick MA.