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    Mertens, Jean-François and Rubinchik, Anna 2013. Equilibria in an overlapping generations model with transfer policies and exogenous growth. Economic Theory, Vol. 54, Issue. 3, p. 537.



  • Jean-François Mertens (a1) and Anna Rubinchik (a2)
  • DOI:
  • Published online: 01 June 2011

For two independent principles of intergenerational equity, the implied discount rate equals the growth rate of real per capita income, say, 2%, thus falling right into the range suggested by the U.S. Office of Management and Budget. To prove this, we develop a simple tool to evaluate small policy changes affecting several generations, by reducing the dynamic problem to a static one. A necessary condition is time invariance, which is satisfied by any common solution concept in an overlapping-generations model with exogenous growth. This tool is applied to derive the discount rate for cost–benefit analysis under two different utilitarian welfare functions: classical and relative. It is only with relative utilitarianism, and assuming time-invariance of the set of alternatives (policies), that the discount rate is well defined for a heterogeneous society at a balanced growth equilibrium, is corroborated by an independent principle equating values of human lives, and equals the growth rate of real per-capita income.

Corresponding author
Address correspondence to: Anna Rubinchik, Department of Economics, University of Haifa, Mount Carmel, Haifa, 31905, Israel; e-mail:
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K.J. Arrow (2007) Global climate change: A challenge to policy. The Economists' Voice 4 (3), article 2. Available at

G.B. Asheim (1991) Unjust intergenerational allocations. Journal of Economic Theory 54, 350371.

K. Basu and T. Mitra (2003) Aggregating infinite utility streams with intergenerational equity: The impossibility of being Paretian. Econometrica 71 (5), 15571563.

G. Chichilnisky (1996) An axiomatic approach to sustainable development. Social Choice and Welfare 13, 231257.

Juan Crespo , Carmelo Núñez , and Juan Rincón-Zapatero (2009). On the impossibility of representing infinite utility streams. Economic Theory 40 (1), 4756.

P. Dasgupta (2008) Discounting climate change. Journal of Risk and Uncertainty 37 (2–3), Special Issue on Discounting Dilemmas, 141169.

C. d'Aspremont (2007) Formal welfarism and intergenerational equity. In J. Roemer and K. Suzumura (eds.), Intergenerational Equity and Sustainability, Conference Proceedings of the IEA Roundtable Meeting on Intergenerational Equity, pp. 113130. Houndsmills, Basingstoke, UK: Palgrave Macmillan.

S. Demichelis and H. M. Polemarchakis (2007) The determinacy of equilibrium in economies of overlapping generations. Economic Theory 32 (3), 34613475.

A. Dhillon and J.-F. Mertens (1999) Relative utilitarianism. Econometrica 67 (3), 471498.

J. Drèze and N. Stern (1987) The theory of cost–benefit analysis. In A. J. Auerbach and M. Feldstein (eds.), Handbook of Public Economics, Volume II, Chapter 14. Amsterdam: Elsevier Science Publishers.

M. Fleurbaey and P. Michel (2003) Intertemporal equity and the extension of the Ramsey criterion. Journal of Mathematical Economics 39, 777802.

D. Gale (1973) Pure exchange equilibrium of dynamic economic models. Journal of Economic Theory 6, 1236.

T.J. Kehoe and D.K. Levine (1984) Regularity in overlapping generations exchange economies. Journal of Mathematical Economics 13 (1), 6993.

J. Kelley and I. Namioka (1963) Linear Topological Spaces. The University Series in Higher Mathematics. Princeton, NJ: Van Nostrand.

R.G. King , C.I. Plosser , and S.T. Rebelo (2002) Production, growth and business cycles: Technical appendix. Computational Economics 20 (1–2), 87116.

T.C. Koopmans (1960) Stationary ordinal utility and impatience. Econometrica 28, 287309.

L.J. Kotlikoff (2002) Generational policy. In A. J. Auerbach and M. Feldstein (eds.), Handbook of Public Economics, Vol. 4, Chap. 27, pp. 18731932. Amsterdam: Elsevier.

E. J. Mishan (1971) Evaluation of life and limb: A theoretical approach. Journal of Political Economy 79 (4), 687705.

F.P. Ramsey (1928) A mathematical theory of saving. Economic Journal 38 (152), 543559.

P.A. Samuelson (1958) An exact consumption-loan model of interest with or without the social contrivance of money. Journal of Political Economy 66 (6), 467482.

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Macroeconomic Dynamics
  • ISSN: 1365-1005
  • EISSN: 1469-8056
  • URL: /core/journals/macroeconomic-dynamics
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